LineSource

class LineSource : public ProblemBase

Subclassed by LineSource_Moment, LineSource_SN

Public Functions

double GetAnalyticalSolution(double x, double y, double t, double sigma_s) override

Exact analytical solution for the Line Source Test Case at.

Return

exact solution at x,y,t,scatteringXS

Parameters

  • x: coordinate of exact solution

  • y: coordinate of exact solution

  • t: time of the exact solution

  • sigma_s: scattering cross section of the exact solution

Protected Attributes

double _sigmaS

Scattering coefficient.

Private Functions

double HelperIntRho_ptc(double R, double t)

Helper Functions to compute the analytic solution for sigma != 0 (See publication: Garret,Hauck; Momentum Closures for Linear Kinetic Transport Equations)

Parameters

  • R: distance to origin

  • t: time

double HelperRho_ptc(double R, double t)

helper to comput analytic line source solution.

Parameters

  • R: distance to origin

  • t: time

double HelperRho_ptc1(double R, double t)

helper to comput analytic line source solution.

Parameters

  • R: distance to origin

  • t: time

double HelperRho_ptc2(double R, double t)

helper to comput analytic line source solution.

Parameters

  • R: distance to origin

  • t: time

double HelperIntRho_ptc2(double t, double gamma)

helper to comput analytic line source solution

Parameters

  • t: time

  • gamma: equals R/t