Class to compute the meridional curl associated with an azimuthal scalar field A_theta. More...

#include <MFEMMeridionalCurlAux.h>

Inheritance diagram for Moose::MFEM::MeridionalCurlVectorCoefficient:

Public Member Functions
	MeridionalCurlVectorCoefficient (mfem::Coefficient &a_theta, mfem::VectorCoefficient &grad_a_theta)

void	Eval (mfem::Vector &V, mfem::ElementTransformation &T, const mfem::IntegrationPoint &ip) override

Private Attributes
mfem::Coefficient &	_a_theta

mfem::VectorCoefficient &	_grad_a_theta

Detailed Description

Class to compute the meridional curl associated with an azimuthal scalar field A_theta.

For a 2D meridional mesh with coordinates

x = r y = z

this computes

B_r = -dA_theta/dz B_z = dA_theta/dr + A_theta/r

Definition at line 31 of file MFEMMeridionalCurlAux.h.

Constructor & Destructor Documentation

◆ MeridionalCurlVectorCoefficient()

Moose::MFEM::MeridionalCurlVectorCoefficient::MeridionalCurlVectorCoefficient	(	mfem::Coefficient &	a_theta,
		mfem::VectorCoefficient &	grad_a_theta
	)

Definition at line 19 of file MFEMMeridionalCurlAux.C.

  : mfem::VectorCoefficient(2), _a_theta(a_theta), _grad_a_theta(grad_a_theta)
{
}

Member Function Documentation

◆ Eval()

void Moose::MFEM::MeridionalCurlVectorCoefficient::Eval	(	mfem::Vector &	V,
		mfem::ElementTransformation &	T,
		const mfem::IntegrationPoint &	ip
	)

override

Definition at line 26 of file MFEMMeridionalCurlAux.C.

{
  mfem::Vector A_grad;
  _grad_a_theta.Eval(A_grad, T, ip);
 
  mfem::Vector physical_point;
  T.Transform(ip, physical_point);
 
  const mfem::real_t r = physical_point[0];
  const mfem::real_t A = _a_theta.Eval(T, ip);
 
  const mfem::real_t dA_dr = A_grad[0];
  const mfem::real_t dA_dz = A_grad[1];
 
  V.SetSize(2);
  V[0] = -dA_dz;
  V[1] = dA_dr + A / r;
}

Member Data Documentation

◆ _a_theta

mfem::Coefficient& Moose::MFEM::MeridionalCurlVectorCoefficient::_a_theta

private

Definition at line 44 of file MFEMMeridionalCurlAux.h.

Referenced by Eval().

◆ _grad_a_theta

mfem::VectorCoefficient& Moose::MFEM::MeridionalCurlVectorCoefficient::_grad_a_theta