two_d_adv_diff_adapt.cc File Reference

#include "generic.h"
#include "advection_diffusion.h"
#include "meshes/rectangular_quadmesh.h"

Classes
class	RefineableAdvectionDiffusionProblem< ELEMENT >

Namespaces
	TanhSolnForAdvectionDiffusion

Functions
void	TanhSolnForAdvectionDiffusion::get_exact_u (const Vector< double > &x, Vector< double > &u)
	Exact solution as a Vector. More...
void	TanhSolnForAdvectionDiffusion::get_exact_u (const Vector< double > &x, double &u)
	Exact solution as a scalar. More...
void	TanhSolnForAdvectionDiffusion::source_function (const Vector< double > &x_vect, double &source)
	Source function required to make the solution above an exact solution. More...
void	TanhSolnForAdvectionDiffusion::wind_function (const Vector< double > &x, Vector< double > &wind)
	Wind. More...
int	main ()
	Driver code for 2D AdvectionDiffusion problem. More...

Variables
double	TanhSolnForAdvectionDiffusion::Peclet =200.0
	Peclet number. More...
double	TanhSolnForAdvectionDiffusion::Alpha =10.0
	Parameter for steepness of step. More...
double	TanhSolnForAdvectionDiffusion::TanPhi =1.0
	Parameter for angle of step. More...

Function Documentation

main()

int main

(

)

Driver code for 2D AdvectionDiffusion problem.

{
 
 //Set up the problem
 //------------------
 
 // Create the problem with 2D nine-node refineable elements from the
 // RefineableQuadAdvectionDiffusionElement family. Pass pointer to 
 // source and wind function. 
 RefineableAdvectionDiffusionProblem<RefineableQAdvectionDiffusionElement<2,
  3> > problem(&TanhSolnForAdvectionDiffusion::source_function,
               &TanhSolnForAdvectionDiffusion::wind_function);
 
 // Check if we're ready to go:
 //----------------------------
 cout << "\n\n\nProblem self-test ";
 if (problem.self_test()==0) 
  {
   cout << "passed: Problem can be solved." << std::endl;
  }
 else 
  {
   throw OomphLibError("Self test failed",
                       OOMPH_CURRENT_FUNCTION,
                       OOMPH_EXCEPTION_LOCATION);
  }
 
 // Set the orientation of the "step" to 45 degrees
 TanhSolnForAdvectionDiffusion::TanPhi=1.0;
 
 // Choose a large value for the steepness of the "step"
 TanhSolnForAdvectionDiffusion::Alpha=50.0; 
 
 // Solve the problem, performing up to 4 adptive refinements
 problem.newton_solve(4);
 
 //Output the solution
 problem.doc_solution();
 
} // end of main

References TanhSolnForAdvectionDiffusion::Alpha, OOMPH_CURRENT_FUNCTION, OOMPH_EXCEPTION_LOCATION, problem, TanhSolnForAdvectionDiffusion::source_function(), TanhSolnForAdvectionDiffusion::TanPhi, and TanhSolnForAdvectionDiffusion::wind_function().