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2D
hpfem/hermes-examples
2d-advanced/euler/joukowski-profile-adapt/main.cpp
.cpp
16,892
408
#define HERMES_REPORT_INFO #include "hermes2d.h" using namespace Hermes; using namespace Hermes::Hermes2D; using namespace Hermes::Hermes2D::Views; using namespace Hermes::Hermes2D::RefinementSelectors; // This example solves the compressible Euler equations using Discontinuous Galerkin method of higher order with ad...
C++
2D
hpfem/hermes-examples
2d-advanced/euler/heating-flow-coupling-adapt/main.cpp
.cpp
17,398
384
#define HERMES_REPORT_INFO #include "hermes2d.h" #include "../coupling.h" using namespace Hermes; using namespace Hermes::Hermes2D; using namespace Hermes::Hermes2D::RefinementSelectors; using namespace Hermes::Hermes2D::Views; // Visualization. // Set to "true" to enable Hermes OpenGL visualization. const bool HERM...
C++
2D
hpfem/hermes-examples
2d-advanced/euler/forward-step/main.cpp
.cpp
4,084
127
#define HERMES_REPORT_INFO #include "hermes2d.h" using namespace Hermes; using namespace Hermes::Hermes2D; using namespace Hermes::Hermes2D::Views; // This example solves the compressible Euler equations using a basic // piecewise-constant finite volume method, or Discontinuous Galerkin method of higher order with no...
C++
2D
hpfem/hermes-examples
2d-advanced/euler/euler-coupled-adapt/main.cpp
.cpp
25,672
571
#define HERMES_REPORT_INFO #include "hermes2d.h" using namespace Hermes; using namespace Hermes::Hermes2D; using namespace Hermes::Hermes2D::Views; using namespace RefinementSelectors; // This example solves the compressible Euler equations coupled with an advection-diffution equation // using a basic piecewise-const...
C++
2D
hpfem/hermes-examples
2d-advanced/euler/gamm-channel/main.cpp
.cpp
3,377
102
#include "hermes2d.h" using namespace Hermes; using namespace Hermes::Hermes2D; using namespace Hermes::Hermes2D::Views; // This example solves the compressible Euler equations using a basic // Discontinuous Galerkin method of higher order with no adaptivity. // // Equations: Compressible Euler equations, perfect gas...
C++
2D
hpfem/hermes-examples
2d-advanced/euler/reflected-shock-adapt/definitions.h
.h
199
8
#include "hermes2d.h" /* Namespaces used */ using namespace Hermes; using namespace Hermes::Hermes2D; using namespace Hermes::Hermes2D::Views; using namespace Hermes::Hermes2D::RefinementSelectors;
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2D
hpfem/hermes-examples
2d-advanced/euler/reflected-shock-adapt/main.cpp
.cpp
8,084
208
#define HERMES_REPORT_INFO #include "hermes2d.h" using namespace Hermes; using namespace Hermes::Hermes2D; using namespace Hermes::Hermes2D::Views; using namespace Hermes::Hermes2D::RefinementSelectors; // This example solves the compressible Euler equations using Discontinuous Galerkin method of higher order with ad...
C++
2D
hpfem/hermes-examples
2d-advanced/euler/reflected-shock-adapt/definitions.cpp
.cpp
0
0
null
C++
2D
hpfem/hermes-examples
2d-advanced/euler/joukowski-profile/main.cpp
.cpp
10,988
279
#define HERMES_REPORT_INFO #include "hermes2d.h" using namespace Hermes; using namespace Hermes::Hermes2D; using namespace Hermes::Hermes2D::Views; // This example solves the compressible Euler equations using a basic // piecewise-constant finite volume method, or Discontinuous Galerkin method of higher order with no...
C++
2D
hpfem/hermes-examples
2d-advanced/euler/gamm-channel-adapt/main.cpp
.cpp
4,055
123
#define HERMES_REPORT_INFO #include "hermes2d.h" using namespace Hermes; using namespace Hermes::Hermes2D; using namespace Hermes::Hermes2D::Views; using namespace Hermes::Hermes2D::RefinementSelectors; // This example solves the compressible Euler equations using // Discontinuous Galerkin method of higher order with...
C++
2D
hpfem/hermes-examples
2d-advanced/euler/euler-coupled/main.cpp
.cpp
13,364
332
#define HERMES_REPORT_INFO #include "hermes2d.h" using namespace Hermes; using namespace Hermes::Hermes2D; using namespace Hermes::Hermes2D::Views; // This example solves the compressible Euler equations coupled with an advection-diffution equation // using a basic piecewise-constant finite volume method for the flow...
C++
2D
hpfem/hermes-examples
2d-advanced/elasticity/crack/definitions.h
.h
520
17
#include "hermes2d.h" using namespace Hermes; using namespace Hermes::Hermes2D; using namespace Hermes::Hermes2D::RefinementSelectors; using namespace Hermes::Hermes2D::WeakFormsH1; using namespace Hermes::Hermes2D::WeakFormsElasticity; using namespace Hermes::Hermes2D::Views; using namespace RefinementSelectors; cla...
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2D
hpfem/hermes-examples
2d-advanced/elasticity/crack/main.cpp
.cpp
11,558
282
#include "definitions.h" // This example uses adaptive multimesh hp-FEM to solve a simple problem // of linear elasticity. Note that since both displacement components // have similar qualitative behavior, the advantage of the multimesh // discretization is less striking. // // PDE: Lame equations of linear elasticity...
C++
2D
hpfem/hermes-examples
2d-advanced/elasticity/crack/definitions.cpp
.cpp
1,477
27
#include "definitions.h" CustomWeakFormLinearElasticity::CustomWeakFormLinearElasticity(double E, double nu, double rho_g, std::string surface_force_bdy, double f0, double f1) : WeakForm<double>(2) { double lambda = (E * nu) / ((1 + nu) * (1 - 2 * nu)); double mu = E / (2 * (1 + nu)); // Jacobian. add_matri...
C++
2D
hpfem/hermes-examples
2d-advanced/elasticity/bracket/definitions.h
.h
465
16
#include "hermes2d.h" using namespace Hermes; using namespace Hermes::Hermes2D; using namespace Hermes::Hermes2D::WeakFormsH1; using namespace Hermes::Hermes2D::WeakFormsElasticity; using namespace Hermes::Hermes2D::Views; using namespace RefinementSelectors; class CustomWeakFormLinearElasticity : public WeakForm <do...
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2D
hpfem/hermes-examples
2d-advanced/elasticity/bracket/main.cpp
.cpp
9,750
247
#include "definitions.h" // This example uses adaptive multimesh hp-FEM to solve a simple problem // of linear elasticity. Note that since both displacement components // have similar qualitative behavior, the advantage of the multimesh // discretization is less striking than for example in the tutorial // example P04...
C++
2D
hpfem/hermes-examples
2d-advanced/elasticity/bracket/definitions.cpp
.cpp
1,477
27
#include "definitions.h" CustomWeakFormLinearElasticity::CustomWeakFormLinearElasticity(double E, double nu, double rho_g, std::string surface_force_bdy, double f0, double f1) : WeakForm<double>(2) { double lambda = (E * nu) / ((1 + nu) * (1 - 2 * nu)); double mu = E / (2 * (1 + nu)); // Jacobian. add_matri...
C++
2D
hpfem/hermes-examples
2d-advanced/elasticity/bracket/generate_constants.py
.py
682
31
from numpy import arctan, sqrt, pi, sin, cos t = 0.1 # thickness l = 0.7 # length a = sqrt(l**2 - (l - t)**2) print "a =", a alpha = arctan(t/l) print "alpha =", alpha beta = delta - alpha print "beta =", beta gamma = pi/2 - 2*delta print "gamma =", gamma delta = arctan(a/(l-t)) print "delta =", delta print "alpha_d...
Python
2D
hpfem/hermes-examples
2d-advanced/acoustics/horn-axisym/definitions.h
.h
434
20
#include "hermes2d.h" /* Namespaces used */ using namespace Hermes; using namespace Hermes::Hermes2D; using namespace Hermes::Hermes2D::Views; using namespace Hermes::Hermes2D::RefinementSelectors; typedef std::complex<double> complex; /* Weak forms */ class CustomWeakFormAcoustics : public WeakForm < ::complex > ...
Unknown
2D
hpfem/hermes-examples
2d-advanced/acoustics/horn-axisym/plot_graph.py
.py
628
32
# import libraries import numpy, pylab from pylab import * # plot DOF convergence graph pylab.title("Error convergence") pylab.xlabel("Degrees of freedom") pylab.ylabel("Error [%]") axis('equal') data = numpy.loadtxt("conv_dof_est.dat") x = data[:, 0] y = data[:, 1] loglog(x, y, '-s', label="error (est)") legend() # ...
Python
2D
hpfem/hermes-examples
2d-advanced/acoustics/horn-axisym/main.cpp
.cpp
6,752
185
#include "definitions.h" // This problem describes the distribution of the vector potential in // a 2D domain comprising a wire carrying electrical current, air, and // an iron which is not under voltage. // // PDE: -div(1/rho grad p) - omega**2 / (rho c**2) * p = 0. // // Domain: Axisymmetric geometry of a horn,...
C++
2D
hpfem/hermes-examples
2d-advanced/acoustics/horn-axisym/definitions.cpp
.cpp
1,183
17
#include "definitions.h" CustomWeakFormAcoustics::CustomWeakFormAcoustics(std::string bdy_newton, double rho, double sound_speed, double omega) : WeakForm<::complex>(1) { std::complex<double> ii = std::complex<double>(0.0, 1.0); // Jacobian. add_matrix_form(new WeakFormsH1::DefaultJacobianDiffusion<::complex...
C++
2D
hpfem/hermes-examples
2d-advanced/acoustics/wave-propagation/definitions.h
.h
12,354
286
#include "hermes2d.h" using namespace Hermes; using namespace Hermes::Hermes2D; #pragma region forms template<typename Scalar> class volume_matrix_acoustic_transient_planar_linear_form_1_1 : public MatrixFormVol < Scalar > { public: volume_matrix_acoustic_transient_planar_linear_form_1_1(unsigned int i, unsigned i...
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2D
hpfem/hermes-examples
2d-advanced/acoustics/wave-propagation/test_acoustic_transient_planar.py
.py
3,120
69
import agros2d # problem problem = agros2d.problem(clear = True) problem.coordinate_type = "planar" problem.mesh_type = "triangle" problem.matrix_solver = "umfpack" problem.time_step_method = "fixed" problem.time_method_order = 2 problem.time_method_tolerance = 1 problem.time_total = 0.001 problem.time_steps = 250 # ...
Python
2D
hpfem/hermes-examples
2d-advanced/acoustics/wave-propagation/main.cpp
.cpp
2,903
87
#include "definitions.h" using namespace Hermes; using namespace Hermes::Hermes2D; using namespace Hermes::Hermes2D::Views; const int P_INIT = 2; const double time_step = 4e-5; const double end_time = 1.; int main(int argc, char* argv[]) { // Load the mesh. MeshSharedPtr mesh(new Mesh); std::vector<MeshShared...
C++
2D
hpfem/hermes-examples
2d-advanced/acoustics/wave-propagation/definitions.cpp
.cpp
10,683
263
#include "definitions.h" template <typename Scalar> volume_matrix_acoustic_transient_planar_linear_form_1_1<Scalar>::volume_matrix_acoustic_transient_planar_linear_form_1_1(unsigned int i, unsigned int j, double ac_rho, double ac_vel) : MatrixFormVol<Scalar>(i, j), ac_rho(ac_rho), ac_vel(ac_vel) { } template <typen...
C++
2D
hpfem/hermes-examples
2d-advanced/acoustics/apartment/definitions.h
.h
430
19
#include "hermes2d.h" /* Namespaces used */ using namespace Hermes; using namespace Hermes::Hermes2D; using namespace Hermes::Hermes2D::Views; using namespace Hermes::Hermes2D::RefinementSelectors; typedef std::complex<double> complex; /* Weak forms */ class CustomWeakFormAcoustics : public WeakForm < ::complex > ...
Unknown
2D
hpfem/hermes-examples
2d-advanced/acoustics/apartment/plot_graph.py
.py
628
32
# import libraries import numpy, pylab from pylab import * # plot DOF convergence graph pylab.title("Error convergence") pylab.xlabel("Degrees of freedom") pylab.ylabel("Error [%]") axis('equal') data = numpy.loadtxt("conv_dof_est.dat") x = data[:, 0] y = data[:, 1] loglog(x, y, '-s', label="error (est)") legend() # ...
Python
2D
hpfem/hermes-examples
2d-advanced/acoustics/apartment/main.cpp
.cpp
14,364
391
#include "definitions.h" // This problem describes the distribution of the vector potential in // a 2D domain comprising a wire carrying electrical current, air, and // an iron which is not under voltage. // // PDE: -div(1/rho grad p) - omega**2 / (rho c**2) * p = 0. // // Domain: Floor plan of an existing apartm...
C++
2D
hpfem/hermes-examples
2d-advanced/acoustics/apartment/definitions.cpp
.cpp
1,181
16
#include "definitions.h" CustomWeakFormAcoustics::CustomWeakFormAcoustics(std::string bdy_newton, double rho, double sound_speed, double omega) : WeakForm<::complex>(1) { std::complex<double> ii = std::complex<double>(0.0, 1.0); // Jacobian. add_matrix_form(new WeakFormsH1::DefaultJacobianDiffusion<::complex>(...
C++
2D
hpfem/hermes-examples
2d-advanced/nernst-planck/poisson-timedep-adapt/definitions.h
.h
177
7
#include "hermes2d.h" using namespace Hermes; using namespace Hermes::Hermes2D; using namespace Hermes::Hermes2D::Views; using namespace Hermes::Hermes2D::RefinementSelectors;
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2D
hpfem/hermes-examples
2d-advanced/nernst-planck/poisson-timedep-adapt/timestep_controller.h
.h
3,734
118
#include "definitions.h" #define PID_DEFAULT_TOLERANCE 0.25 #define DEFAULT_STEP 0.1 class PidTimestepController { public: PidTimestepController(double final_time, bool pid_on = true, double default_step = DEFAULT_STEP, double tolerance = PID_DEFAULT_TOLERANCE) { this->delta = tolerance; this->final_...
Unknown
2D
hpfem/hermes-examples
2d-advanced/nernst-planck/poisson-timedep-adapt/main.cpp
.cpp
15,042
412
#include "definitions.h" #include "timestep_controller.h" /** \addtogroup e_newton_np_timedep_adapt_system Newton Time-dependant System with Adaptivity \{ \brief This example shows how to combine the automatic adaptivity with the Newton's method for a nonlinear time-dependent PDE system. This example shows how to com...
C++
2D
hpfem/hermes-examples
2d-advanced/nernst-planck/poisson-timedep-adapt/definitions.cpp
.cpp
16,171
465
#include "definitions.h" class ScaledWeakFormPNPCranic : public WeakForm<double> { public: ScaledWeakFormPNPCranic(double* tau, double epsilon, MeshFunctionSharedPtr<double> C_prev_time, MeshFunctionSharedPtr<double> phi_prev_time) : WeakForm<double>(2) { for(unsigned int i = 0; i < 2; i++) { S...
C++
2D
hpfem/hermes-examples
2d-advanced/navier-stokes/bearing/definitions.h
.h
11,067
326
#include "hermes2d.h" /* Namespaces used */ using namespace Hermes; using namespace Hermes::Hermes2D; using namespace Hermes::Hermes2D::Views; using namespace Hermes::Hermes2D::RefinementSelectors; using namespace Hermes::Hermes2D::WeakFormsH1; class WeakFormNSSimpleLinearization : public WeakForm < double > { publi...
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2D
hpfem/hermes-examples
2d-advanced/navier-stokes/bearing/main.cpp
.cpp
7,825
204
#include "definitions.h" // Flow in between two circles, inner circle is rotating with surface // velocity VEL. The time-dependent laminar incompressible Navier-Stokes equations // are discretized in time via the implicit Euler method. The Newton's method is // used to solve the nonlinear problem at each time step. We...
C++
2D
hpfem/hermes-examples
2d-advanced/navier-stokes/bearing/definitions.cpp
.cpp
19,507
530
#include "definitions.h" WeakFormNSSimpleLinearization::WeakFormNSSimpleLinearization(bool Stokes, double Reynolds, double time_step, MeshFunctionSharedPtr<double> x_vel_previous_time, MeshFunctionSharedPtr<double> y_vel_previous_time) : WeakForm<double>(3), Stokes(Stokes), Reynolds(Reynolds), time_step(time_ste...
C++
2D
hpfem/hermes-examples
2d-advanced/navier-stokes/rayleigh-benard/definitions.h
.h
246
9
#include "hermes2d.h" /* Namespaces used */ using namespace Hermes; using namespace Hermes::Hermes2D; using namespace Hermes::Hermes2D::Views; using namespace Hermes::Hermes2D::RefinementSelectors; using namespace Hermes::Hermes2D::WeakFormsH1;
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2D
hpfem/hermes-examples
2d-advanced/navier-stokes/rayleigh-benard/main.cpp
.cpp
7,351
186
#include "definitions.h" // This example solves the Rayleigh-Benard convection problem // http://en.wikipedia.org/wiki/Rayleigh%E2%80%93B%C3%A9nard_convection. // In this problem, a steady fluid is heated from the bottom and // it starts to move. The time-dependent laminar incompressible Navier-Stokes // equations are...
C++
2D
hpfem/hermes-examples
2d-advanced/navier-stokes/rayleigh-benard/definitions.cpp
.cpp
22,362
522
#include "definitions.h" /* Weak forms */ class WeakFormRayleighBenard : public WeakForm < double > { public: WeakFormRayleighBenard(double Pr, double Ra, std::string bdy_top, double temp_ext, double alpha_air, double time_step, MeshFunctionSharedPtr<double> x_vel_previous_time, MeshFunctionSharedPtr<doubl...
C++
2D
hpfem/hermes-examples
2d-advanced/navier-stokes/circular-obstacle-adapt/definitions.h
.h
10,196
314
#include "hermes2d.h" /* Namespaces used */ using namespace Hermes; using namespace Hermes::Hermes2D; using namespace Hermes::Hermes2D::Views; using namespace Hermes::Hermes2D::RefinementSelectors; class WeakFormNSSimpleLinearization : public WeakForm < double > { public: WeakFormNSSimpleLinearization(bool Stokes,...
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2D
hpfem/hermes-examples
2d-advanced/navier-stokes/circular-obstacle-adapt/main.cpp
.cpp
14,706
337
#include "definitions.h" // The time-dependent laminar incompressible Navier-Stokes equations are // discretized in time via the implicit Euler method. The Newton's method // is used to solve the nonlinear problem at each time step. We show how // to use discontinuous ($L^2$) elements for pressure and thus make the //...
C++
2D
hpfem/hermes-examples
2d-advanced/navier-stokes/circular-obstacle-adapt/definitions.cpp
.cpp
20,303
522
#include "definitions.h" WeakFormNSSimpleLinearization::WeakFormNSSimpleLinearization(bool Stokes, double Reynolds, double time_step, MeshFunctionSharedPtr<double> x_vel_previous_time, MeshFunctionSharedPtr<double> y_vel_previous_time) : WeakForm<double>(3), Stokes(Stokes), Reynolds(Reynolds), time_step(time_ste...
C++
2D
hpfem/hermes-examples
2d-advanced/navier-stokes/heat-subdomains/definitions.h
.h
25,143
714
#include "hermes2d.h" /* Namespaces used */ using namespace Hermes; using namespace Hermes::Hermes2D; using namespace Hermes::Hermes2D::Views; using namespace Hermes::Hermes2D::RefinementSelectors; /* These numbers must be compatible with mesh file */ // These numbers must be compatible with mesh file. const double...
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2D
hpfem/hermes-examples
2d-advanced/navier-stokes/heat-subdomains/main.cpp
.cpp
10,938
236
#include "definitions.h" // This example shows the use of subdomains. It models a round graphite object that is // heated through internal heat sources and cooled with a fluid (air or water) flowing // past it. This model is semi-realistic, double-check all parameter values and equations // before using it for your ap...
C++
2D
hpfem/hermes-examples
2d-advanced/navier-stokes/heat-subdomains/definitions.cpp
.cpp
6,626
164
#include "definitions.h" /* Custom initial condition for temperature*/ CustomInitialConditionTemperature::CustomInitialConditionTemperature(MeshSharedPtr mesh, double mid_x, double mid_y, double radius, double temp_fluid, double temp_graphite) : ExactSolutionScalar<double>(mesh), mid_x(mid_x), mid_y(mid_y), radius(...
C++
2D
hpfem/hermes-examples
2d-advanced/navier-stokes/driven-cavity/definitions.h
.h
7,823
231
#include "hermes2d.h" /* Namespaces used */ using namespace Hermes; using namespace Hermes::Hermes2D; using namespace Hermes::Hermes2D::Views; using namespace Hermes::Hermes2D::RefinementSelectors; class WeakFormNSNewton : public WeakForm < double > { public: WeakFormNSNewton(bool Stokes, double Reynolds, double t...
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2D
hpfem/hermes-examples
2d-advanced/navier-stokes/driven-cavity/main.cpp
.cpp
7,454
200
#include "definitions.h" // Flow inside a rotating circle. Both the flow and the circle are not moving // at the beginning. As the circle starts to rotate at increasing speed. also // the flow starts to move. We use time-dependent laminar incompressible Navier-Stokes // equations discretized in time via the implicit E...
C++
2D
hpfem/hermes-examples
2d-advanced/navier-stokes/driven-cavity/definitions.cpp
.cpp
13,498
367
#include "definitions.h" WeakFormNSNewton::WeakFormNSNewton(bool Stokes, double Reynolds, double time_step, MeshFunctionSharedPtr<double> x_vel_previous_time, MeshFunctionSharedPtr<double> y_vel_previous_time) : WeakForm<double>(3), Stokes(Stokes), Reynolds(Reynolds), time_step(time_step), x_vel_previous_time(x_...
C++
2D
hpfem/hermes-examples
2d-advanced/navier-stokes/circular-obstacle/definitions.h
.h
10,449
303
#include "hermes2d.h" /* Namespaces used */ using namespace Hermes; using namespace Hermes::Hermes2D; using namespace Hermes::Hermes2D::Views; using namespace Hermes::Hermes2D::RefinementSelectors; using namespace Hermes::Hermes2D::WeakFormsH1; class WeakFormNSSimpleLinearization : public WeakForm < double > { publi...
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2D
hpfem/hermes-examples
2d-advanced/navier-stokes/circular-obstacle/main.cpp
.cpp
7,352
194
#include "definitions.h" // The time-dependent laminar incompressible Navier-Stokes equations are // discretized in time via the implicit Euler method. If NEWTON == true, // the Newton's method is used to solve the nonlinear problem at each time // step. We also show how to use discontinuous ($L^2$) elements for press...
C++
2D
hpfem/hermes-examples
2d-advanced/navier-stokes/circular-obstacle/definitions.cpp
.cpp
18,941
509
#include "definitions.h" WeakFormNSSimpleLinearization::WeakFormNSSimpleLinearization(bool Stokes, double Reynolds, double time_step, MeshFunctionSharedPtr<double> x_vel_previous_time, MeshFunctionSharedPtr<double> y_vel_previous_time) : WeakForm<double>(3), Stokes(Stokes), Reynolds(Reynolds), time_step(time_ste...
C++
2D
hpfem/hermes-examples
2d-advanced/richards/constitutive.h
.h
19,616
478
#define HERMES_REPORT_ALL class ConstitutiveRelations { public: ConstitutiveRelations(double alpha, double theta_s, double theta_r, double k_s) : alpha(alpha), theta_s(theta_s), theta_r(theta_r), k_s(k_s) {} virtual double K(double h) = 0; virtual double dKdh(double h) = 0; virtual double ddKdhh(double h) = 0; ...
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hpfem/hermes-examples
2d-advanced/richards/basic-ie-newton/definitions.h
.h
2,128
77
#include "hermes2d.h" #include "../constitutive.h" using namespace Hermes; using namespace Hermes::Hermes2D; using namespace Hermes::Hermes2D::WeakFormsH1; using namespace Hermes::Hermes2D::Views; /* Custom non-constant Dirichlet condition */ class CustomEssentialBCNonConst : public EssentialBoundaryCondition < doub...
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2D
hpfem/hermes-examples
2d-advanced/richards/basic-ie-newton/main.cpp
.cpp
4,864
145
#include "definitions.h" // This example solves a simple version of the time-dependent // Richard's equation using the backward Euler method in time // combined with the Newton's method in each time step. It describes // infiltration into an initially dry soil. The example has a exact // solution that is given in...
C++
2D
hpfem/hermes-examples
2d-advanced/richards/basic-ie-newton/definitions.cpp
.cpp
3,838
94
#include "definitions.h" // The pressure head is raised by H_OFFSET // so that the initial condition can be taken // as the zero vector. Note: the resulting // pressure head will also be greater than the // true one by this offset. double H_OFFSET = 1000; /* Custom non-constant Dirichlet condition */ EssentialBCValu...
C++
2D
hpfem/hermes-examples
2d-advanced/richards/capillary-barrier-adapt/definitions.h
.h
17,758
449
#include "hermes2d.h" #include "../constitutive.h" using namespace Hermes; using namespace Hermes::Hermes2D; using namespace Hermes::Hermes2D::WeakFormsH1; using namespace Hermes::Hermes2D::Views; using namespace Hermes::Hermes2D::RefinementSelectors; // The first part of the file dontains forms for the Newton's // m...
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2D
hpfem/hermes-examples
2d-advanced/richards/capillary-barrier-adapt/extras.cpp
.cpp
14,101
415
#include "definitions.h" using namespace std; //Debugging matrix printer. bool printmatrix(double** A, int n, int m){ for (int i = 0; i < n; i++){ for (int j = 0; j < m; j++){ printf(" %lf ", A[i][j]); } printf(" \n"); } printf("----------------------------------\n"); return true; } //Debug...
C++
2D
hpfem/hermes-examples
2d-advanced/richards/capillary-barrier-adapt/main.cpp
.cpp
20,846
503
#include "definitions.h" // This example uses adaptivity with dynamical meshes to solve // the time-dependent Richard's equation. The time discretization // is backward Euler or Crank-Nicolson, and the nonlinear solver // in each time step is either Newton or Picard. // // PDE: C(h)dh/dt - div(K(h)grad(h)) - (dK/...
C++
2D
hpfem/hermes-examples
2d-advanced/richards/capillary-barrier-adapt/definitions.cpp
.cpp
24
1
#include "definitions.h"
C++
2D
hpfem/hermes-examples
2d-advanced/richards/basic-ie-picard/definitions.h
.h
2,124
77
#include "hermes2d.h" #include "../constitutive.h" using namespace Hermes; using namespace Hermes::Hermes2D; using namespace Hermes::Hermes2D::WeakFormsH1; using namespace Hermes::Hermes2D::Views; /* Custom non-constant Dirichlet condition */ class CustomEssentialBCNonConst : public EssentialBoundaryCondition < doub...
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2D
hpfem/hermes-examples
2d-advanced/richards/basic-ie-picard/main.cpp
.cpp
4,673
140
#include "definitions.h" // This example is similar to basic-ie-newton except it uses the // Picard's method in each time step. // // PDE: C(h)dh/dt - div(K(h)grad(h)) - (dK/dh)*(dh/dy) = 0 // where K(h) = K_S*exp(alpha*h) for h < 0, // K(h) = K_S ...
C++
2D
hpfem/hermes-examples
2d-advanced/richards/basic-ie-picard/definitions.cpp
.cpp
3,046
89
#include "definitions.h" // The pressure head is raised by H_OFFSET // so that the initial condition can be taken // as the zero vector. Note: the resulting // pressure head will also be greater than the // true one by this offset. double H_OFFSET = 1e3; /* Custom non-constant Dirichlet condition */ EssentialBCValue...
C++
2D
hpfem/hermes-examples
2d-advanced/richards/capillary-barrier-rk/definitions.h
.h
2,435
85
#include "hermes2d.h" #include "../constitutive.h" using namespace Hermes; using namespace Hermes::Hermes2D; using namespace Hermes::Hermes2D::WeakFormsH1; using namespace Hermes::Hermes2D::Views; /* Custom non-constant Dirichlet condition */ class RichardsEssentialBC : public EssentialBoundaryCondition < double > {...
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hpfem/hermes-examples
2d-advanced/richards/capillary-barrier-rk/extras.cpp
.cpp
13,236
415
#include "definitions.h" using namespace std; //Debugging matrix printer. bool printmatrix(double** A, int n, int m) { for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) { printf(" %lf ", A[i][j]); } printf(" \n"); } printf("----------------------------------\n"); return true; } //Debugging vecto...
C++
2D
hpfem/hermes-examples
2d-advanced/richards/capillary-barrier-rk/main.cpp
.cpp
13,560
326
#include "definitions.h" // This example solves the time-dependent Richard's equation using // adaptive time integration (no dynamical meshes in space yet). // Many different time stepping methods can be used. The nonlinear // solver in each time step is the Newton's method. // // PDE: C(h)dh/dt - div(K(h)grad(h)...
C++
2D
hpfem/hermes-examples
2d-advanced/richards/capillary-barrier-rk/definitions.cpp
.cpp
3,767
118
#include "definitions.h" // The pressure head is raised by H_OFFSET // so that the initial condition can be taken // as the zero vector. Note: the resulting // pressure head will also be greater than the // true one by this offset. double H_OFFSET = 1000; /* Custom weak forms */ CustomWeakFormRichardsRK::CustomWeakF...
C++
2D
hpfem/hermes-examples
2d-advanced/richards/basic-rk-newton/definitions.h
.h
2,161
78
#include "hermes2d.h" #include "../constitutive.h" using namespace Hermes; using namespace Hermes::Hermes2D; using namespace Hermes::Hermes2D::WeakFormsH1; using namespace Hermes::Hermes2D::Views; /* Custom non-constant Dirichlet condition */ class CustomEssentialBCNonConst : public EssentialBoundaryCondition < doub...
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2D
hpfem/hermes-examples
2d-advanced/richards/basic-rk-newton/main.cpp
.cpp
6,649
169
#include "definitions.h" // This example solves the Tracy problem with arbitrary Runge-Kutta // methods in time. // // PDE: C(h)dh/dt - div(K(h)grad(h)) - (dK/dh)*(dh/dy) = 0 // where K(h) = K_S*exp(alpha*h) for h < 0, // K(h) = K_S for h >= 0, ...
C++
2D
hpfem/hermes-examples
2d-advanced/richards/basic-rk-newton/definitions.cpp
.cpp
4,329
108
#include "definitions.h" // The pressure head is raised by H_OFFSET // so that the initial condition can be taken // as the zero vector. Note: the resulting // pressure head will also be greater than the // true one by this offset. double H_OFFSET = 1000; /* Custom non-constant Dirichlet condition */ EssentialBCValu...
C++
2D
hpfem/hermes-examples
2d-advanced/richards/basic-rk-newton-adapt/definitions.h
.h
2,215
78
#include "hermes2d.h" #include "../constitutive.h" using namespace Hermes; using namespace Hermes::Hermes2D; using namespace Hermes::Hermes2D::WeakFormsH1; using namespace Hermes::Hermes2D::Views; using namespace Hermes::Hermes2D::RefinementSelectors; /* Custom non-constant Dirichlet condition */ class CustomEssenti...
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hpfem/hermes-examples
2d-advanced/richards/basic-rk-newton-adapt/plot_graph.py
.py
666
32
# import libraries import numpy, pylab from pylab import * # plot DOF convergence graph pylab.title("Number of DOF as a function of physical time") pylab.xlabel("Physical time") pylab.ylabel("Number of DOF") axis('equal') data = numpy.loadtxt("conv_dof_est.dat") x = data[:, 0] y = data[:, 1] loglog(x, y, '-s', label="...
Python
2D
hpfem/hermes-examples
2d-advanced/richards/basic-rk-newton-adapt/main.cpp
.cpp
11,162
277
#include "definitions.h" // This example uses adaptivity with dynamical meshes to solve // the Tracy problem with arbitrary Runge-Kutta methods in time. // // PDE: C(h)dh/dt - div(K(h)grad(h)) - (dK/dh)*(dh/dy) = 0 // where K(h) = K_S*exp(alpha*h) for h < 0, // K(h) = K_S ...
C++
2D
hpfem/hermes-examples
2d-advanced/richards/basic-rk-newton-adapt/definitions.cpp
.cpp
4,259
108
#include "definitions.h" // The pressure head is raised by H_OFFSET // so that the initial condition can be taken // as the zero vector. Note: the resulting // pressure head will also be greater than the // true one by this offset. double H_OFFSET = 1000; /* Custom non-constant Dirichlet condition */ EssentialBCValu...
C++
2D
hpfem/hermes-examples
2d-advanced/richards/seepage-adapt/definitions.h
.h
20,821
698
#include "hermes2d.h" /* Namespaces used */ using namespace Hermes; using namespace Hermes::Hermes2D; using namespace Hermes::Hermes2D::Views; using namespace Hermes::Hermes2D::RefinementSelectors; // Global variables for forms. double K_S, ALPHA, THETA_R, THETA_S, N, M; // Problem parameters. const double TAU = 5e...
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hpfem/hermes-examples
2d-advanced/richards/seepage-adapt/constitutive_genuchten.cpp
.cpp
4,722
113
// K (van Genuchten). double K(double h) { double alpha; double n; double m; alpha = ALPHA; n = N; m = M; if (h < 0) return K_S*pow((1 + pow((-alpha*h),n)),(-m/2))*pow((1 - pow((-alpha*h),(m*n))*pow((1 + pow((-alpha*h),n)),(-m))),2) ; else return K_S; } // dK/dh (van Genuchten). double ...
C++
2D
hpfem/hermes-examples
2d-advanced/richards/seepage-adapt/main.cpp
.cpp
12,877
355
#include "definitions.h" // This example uses adaptivity with dynamical meshes to solve // the time-dependent Richard's equation. The time discretization // is backward Euler or Crank-Nicolson, and the Newton's method // is applied to solve the nonlinear problem in each time step. // // PDE: C(h)dh/dt - div(K(...
C++
2D
hpfem/hermes-examples
2d-advanced/richards/seepage-adapt/constitutive_gardner.cpp
.cpp
634
37
// K (Gardner). double K(double h) { if (h < 0) return K_S*exp(ALPHA*h); else return K_S; } // dK/dh (Gardner). double dKdh(double h) { if (h < 0) return K_S*ALPHA*exp(ALPHA*h); else return 0; } // ddK/dhh (Gardner). double ddKdhh(double h) { if (h < 0) return K_S*ALPHA*ALPHA*exp(ALPHA*h); else return...
C++
2D
hpfem/hermes-examples
2d-advanced/richards/seepage-adapt/constitutive.cpp
.cpp
3,703
115
// K (Gardner). double K_Gardner(double h) { if (h < 0) return K_S*exp(ALPHA*h); else return K_S; } // K (van Genuchten). double K(double h) { if (h < 0) return (1-pow(-ALPHA*h,M*N)*pow((1+pow(-ALPHA*h,N)),-M))* (1-pow(-ALPHA*h,M*N)*pow((1+pow(-ALPHA*h,N)),-M))/ (pow(1 + p...
C++
2D
hpfem/hermes-examples
2d-advanced/richards/seepage-adapt/definitions.cpp
.cpp
0
0
null
C++
2D
hpfem/hermes-examples
2d-advanced/helmholtz/waveguide/definitions.h
.h
10,046
277
#include "hermes2d.h" /* Namespaces used */ using namespace Hermes; using namespace Hermes::Hermes2D; using namespace Hermes::Hermes2D::Views; using namespace Hermes::Hermes2D::RefinementSelectors; /* Essential boundary conditions */ class EssentialBCNonConst : public EssentialBoundaryCondition < double > { public:...
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hpfem/hermes-examples
2d-advanced/helmholtz/waveguide/main.cpp
.cpp
5,604
165
#include "definitions.h" // This example shows how to model harmonic steady state in parallel plate waveguide. // The complex-valued Helmholtz equation is solved by decomposing it into two equations // for the real and imaginary part of the E field. Two typical boundary conditions used in // high-frequency problems ar...
C++
2D
hpfem/hermes-examples
2d-advanced/helmholtz/waveguide/definitions.cpp
.cpp
11,360
285
#include "definitions.h" EssentialBCNonConst::EssentialBCNonConst(std::string marker) : EssentialBoundaryCondition<double>(std::vector<std::string>()) { markers.push_back(marker); } EssentialBCValueType EssentialBCNonConst::get_value_type() const { return BC_FUNCTION; } double EssentialBCNonConst::value(double...
C++
2D
hpfem/hermes-examples
2d-advanced/maxwell/maxwell-debye-rk/definitions.h
.h
7,507
222
#include "hermes2d.h" /* Namespaces used */ using namespace Hermes; using namespace Hermes::Hermes2D; using namespace Hermes::Hermes2D::Views; using namespace Hermes::Hermes2D::RefinementSelectors; /* Global function alpha */ double alpha(double omega, double k); /* Initial condition for E */ class CustomInitialC...
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hpfem/hermes-examples
2d-advanced/maxwell/maxwell-debye-rk/main.cpp
.cpp
15,007
348
#include "definitions.h" // This example is a simple test case for the Debye-Maxwell model solved in terms of // E, H and P. Here E is electric field (vector), H magnetic field (scalar), and P // electric polarization (vector). The example comes with a known exact solution. // Time discretization is performed using an...
C++
2D
hpfem/hermes-examples
2d-advanced/maxwell/maxwell-debye-rk/definitions.cpp
.cpp
11,472
325
#include "definitions.h" template<typename Real, typename Scalar> static Scalar int_e_f(int n, double *wt, Func<Real> *u, Func<Real> *v) { Scalar result = Scalar(0); for (int i = 0; i < n; i++) result += wt[i] * (u->val0[i] * conj(v->val0[i]) + u->val1[i] * conj(v->val1[i])); return result; } /* Global func...
C++
2D
hpfem/hermes-examples
2d-advanced/maxwell/magnetostatics-actuator/definitions.h
.h
1,186
34
#include "hermes2d.h" /* Namespaces used */ using namespace Hermes; using namespace Hermes::Hermes2D; using namespace Hermes::Hermes2D::Views; using namespace Hermes::Hermes2D::RefinementSelectors; using namespace Hermes::Hermes2D::WeakFormsH1; using namespace Hermes::Hermes2D::WeakFormsMaxwell; /* Weak forms */ cl...
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hpfem/hermes-examples
2d-advanced/maxwell/magnetostatics-actuator/main.cpp
.cpp
5,390
145
#include "definitions.h" // This example shows how to handle stiff nonlinear problems. // // PDE: magnetostatics with nonlinear magnetic permeability // curl[1/mu curl u] = current_density. // The following parameters can be changed: // Initial polynomial degree. const int P_INIT = 3; // Stopping criterion for t...
C++
2D
hpfem/hermes-examples
2d-advanced/maxwell/magnetostatics-actuator/definitions.cpp
.cpp
2,051
45
#include "definitions.h" CustomWeakFormMagnetostatics::CustomWeakFormMagnetostatics(std::string material_iron_1, std::string material_iron_2, CubicSpline* mu_inv_iron, std::string material_air, std::string material_copper, double mu_vacuum, double current_density, int order_inc) : WeakForm<double>(1) { // Jaco...
C++
2D
hpfem/hermes-examples
2d-advanced/maxwell/magnetostatics-actuator/plot_spline.py
.py
299
18
# import libraries import numpy, pylab from pylab import * data = numpy.loadtxt("spline.dat") x = data[:, 0] y = data[:, 1] plot(x, y, '-o', label="cubic spline") data = numpy.loadtxt("spline_der.dat") x = data[:, 0] y = data[:, 1] plot(x, y, '-*', label="derivative") legend() # finalize show()
Python
2D
hpfem/hermes-examples
2d-advanced/maxwell/resonator-time-domain-II-ie/definitions.h
.h
4,008
124
#include "hermes2d.h" /* Namespaces used */ using namespace Hermes; using namespace Hermes::Hermes2D; using namespace Hermes::Hermes2D::Views; using namespace Hermes::Hermes2D::RefinementSelectors; /* Weak forms */ class CustomWeakFormWaveIE : public WeakForm < double > { public: CustomWeakFormWaveIE(double tau,...
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hpfem/hermes-examples
2d-advanced/maxwell/resonator-time-domain-II-ie/main.cpp
.cpp
5,421
149
#include "definitions.h" // This example solves a time-domain resonator problem for the Maxwell's equation. // It is very similar to resonator-time-domain-I but B is eliminated from the // equations, thus converting the first-order system into one second -order // equation in time. The second-order equation in time is...
C++
2D
hpfem/hermes-examples
2d-advanced/maxwell/resonator-time-domain-II-ie/definitions.cpp
.cpp
6,494
180
#include "definitions.h" template<typename Real, typename Scalar> static Scalar int_e_f(int n, double *wt, Func<Real> *u, Func<Real> *v) { Scalar result = Scalar(0); for (int i = 0; i < n; i++) result += wt[i] * (u->val0[i] * conj(v->val0[i]) + u->val1[i] * conj(v->val1[i])); return result; } template<typen...
C++
2D
hpfem/hermes-examples
2d-advanced/maxwell/profile-conductor/definitions.h
.h
32,103
611
#include "hermes2d.h" using namespace Hermes; using namespace Hermes::Hermes2D; template<typename Scalar> class volume_matrix_magnetic_harmonic_planar_linear_harmonic_laplace_1_1_1_1 : public MatrixFormVol<Scalar> { public: volume_matrix_magnetic_harmonic_planar_linear_harmonic_laplace_1_1_1_1(unsigned int i, unsig...
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hpfem/hermes-examples
2d-advanced/maxwell/profile-conductor/main.cpp
.cpp
0
0
null
C++
2D
hpfem/hermes-examples
2d-advanced/maxwell/profile-conductor/definitions.cpp
.cpp
69,070
1,430
#include "definitions.h" template <typename Scalar> volume_matrix_magnetic_harmonic_planar_linear_harmonic_laplace_1_1_1_1<Scalar>::volume_matrix_magnetic_harmonic_planar_linear_harmonic_laplace_1_1_1_1(unsigned int i, unsigned int j, int offsetI, int offsetJ) : MatrixFormVolAgros<Scalar>(i, j, offsetI, offsetJ) { } ...
C++
2D
hpfem/hermes-examples
2d-advanced/maxwell/resonator-time-domain-I/definitions.h
.h
3,520
114
#include "hermes2d.h" /* Namespaces used */ using namespace Hermes; using namespace Hermes::Hermes2D; using namespace Hermes::Hermes2D::Views; using namespace Hermes::Hermes2D::RefinementSelectors; /* Initial condition for E */ class CustomInitialConditionWave : public ExactSolutionVector < double > { public: Cus...
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2D
hpfem/hermes-examples
2d-advanced/maxwell/resonator-time-domain-I/plot_graph.py
.py
628
32
# import libraries import numpy, pylab from pylab import * # plot DOF convergence graph pylab.title("Error convergence") pylab.xlabel("Degrees of freedom") pylab.ylabel("Error [%]") axis('equal') data = numpy.loadtxt("conv_dof_est.dat") x = data[:, 0] y = data[:, 1] loglog(x, y, '-s', label="error (est)") legend() # ...
Python
2D
hpfem/hermes-examples
2d-advanced/maxwell/resonator-time-domain-I/main.cpp
.cpp
5,623
139
#include "definitions.h" // This example shows how to discretize the first-order time-domain Maxwell's equations // with vector-valued E (an Hcurl function) and double B (an H1 function). Time integration // is done using an arbitrary R-K method (see below). // // PDE: \partial E / \partial t - SPEED_OF_LIGHT**2 * cur...
C++
2D
hpfem/hermes-examples
2d-advanced/maxwell/resonator-time-domain-I/definitions.cpp
.cpp
4,898
156
#include "definitions.h" using namespace WeakFormsHcurl; Scalar2<double> CustomInitialConditionWave::value(double x, double y) const { return Scalar2<double>(std::sin(x) * std::cos(y), -std::cos(x) * std::sin(y)); } void CustomInitialConditionWave::derivatives(double x, double y, Scalar2<double>& dx, Scalar2<doubl...
C++