libMesh::VSoln Class Reference

#include <exact_soln.h>

Inheritance diagram for libMesh::VSoln:

Public Member Functions
	VSoln (const Real nu_in, const bool cavity_in)
Real	operator() (const Point &p) const override
Real	forcing (const Point &p) const override

Private Attributes
const Real	nu
const bool	cavity

Detailed Description

Definition at line 90 of file exact_soln.h.

Constructor & Destructor Documentation

VSoln()

libMesh::VSoln::VSoln ( const Real  nu_in, const bool  cavity_in  )

inline

Definition at line 93 of file exact_soln.h.

: nu(nu_in), cavity(cavity_in) {}

Member Function Documentation

forcing()

Real libMesh::VSoln::forcing ( const Point &  p ) const

inlineoverridevirtual

Implements libMesh::ExactSoln.

Definition at line 105 of file exact_soln.h.

References cavity, nu, and libMesh::pi.

  {
    const auto x = p(0);
    const auto y = p(1);
    if (cavity)
      return nu * sin(x) * cos((1. / 2) * y * pi) +
             (1. / 4) * pi * pi * nu * sin(x) * cos((1. / 2) * y * pi) -
             pi * sin(x) * sin(x) * sin((1. / 2) * y * pi) * cos((1. / 2) * y * pi) -
             1. / 2 * pi * sin(x) * sin(y) * sin((1. / 2) * x * pi) * cos((1. / 2) * y * pi) +
             sin(y) * cos(x) * cos((1. / 2) * x * pi) * cos((1. / 2) * y * pi) + sin(x) * cos(y);
    else
    {
      const auto quant1 = sin((1. / 4) * x * pi);
      return (5. / 16) * pi * pi * nu * sin((1. / 4) * x * pi) * cos((1. / 2) * y * pi) -
             pi * quant1 * quant1 * sin((1. / 2) * y * pi) * cos((1. / 2) * y * pi) -
             1. / 2 * pi * sin((1. / 4) * x * pi) * sin((1. / 2) * x * pi) *
                 sin((1. / 2) * y * pi) * cos((1. / 2) * y * pi) +
             (1. / 4) * pi * sin((1. / 2) * y * pi) * cos((1. / 4) * x * pi) *
                 cos((1. / 2) * x * pi) * cos((1. / 2) * y * pi) +
             (3. / 2) * pi * cos((1. / 4) * x * pi) * cos((3. / 2) * y * pi);
    }
  }

operator()()

Real libMesh::VSoln::operator() ( const Point &  p ) const

inlineoverridevirtual

Implements libMesh::ExactSoln.

Definition at line 95 of file exact_soln.h.

References cavity, and libMesh::pi.

  {
    const auto x = p(0);
    const auto y = p(1);
    if (cavity)
      return sin(x) * cos((1. / 2) * y * pi);
    else
      return sin((1. / 4) * x * pi) * cos((1. / 2) * y * pi);
  }

Member Data Documentation

cavity

const bool libMesh::VSoln::cavity

private

Definition at line 130 of file exact_soln.h.

Referenced by forcing(), and operator()().

nu

const Real libMesh::VSoln::nu

private

Definition at line 129 of file exact_soln.h.

Referenced by forcing().

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The documentation for this class was generated from the following file:

• examples/vector_fe/vector_fe_ex9/exact_soln.h