def arithmeticFaceValue(self):
r"""
Returns a `FaceVariable` whose value corresponds to the arithmetic interpolation
of the adjacent cells:
.. math::
\phi_f = (\phi_1 - \phi_2) \frac{d_{f2}}{d_{12}} + \phi_2
>>> from fipy.meshes import Grid1D
>>> from fipy import numerix
>>> mesh = Grid1D(dx = (1., 1.))
>>> L = 1
>>> R = 2
>>> var = CellVariable(mesh = mesh, value = (L, R))
>>> faceValue = var.arithmeticFaceValue[mesh.interiorFaces.value]
>>> answer = (R - L) * (0.5 / 1.) + L
>>> print numerix.allclose(faceValue, answer, atol = 1e-10, rtol = 1e-10)
True
>>> mesh = Grid1D(dx = (2., 4.))
>>> var = CellVariable(mesh = mesh, value = (L, R))
>>> faceValue = var.arithmeticFaceValue[mesh.interiorFaces.value]
>>> answer = (R - L) * (1.0 / 3.0) + L
>>> print numerix.allclose(faceValue, answer, atol = 1e-10, rtol = 1e-10)
True
>>> mesh = Grid1D(dx = (10., 100.))
>>> var = CellVariable(mesh = mesh, value = (L, R))
>>> faceValue = var.arithmeticFaceValue[mesh.interiorFaces.value]
>>> answer = (R - L) * (5.0 / 55.0) + L
>>> print numerix.allclose(faceValue, answer, atol = 1e-10, rtol = 1e-10)
True
"""
if not hasattr(self, '_arithmeticFaceValue'):
from fipy.variables.arithmeticCellToFaceVariable import _ArithmeticCellToFaceVariable
self._arithmeticFaceValue = _ArithmeticCellToFaceVariable(self)
return self._arithmeticFaceValue
def arithmeticFaceValue(self):
r"""
Returns a `FaceVariable` whose value corresponds to the arithmetic interpolation
of the adjacent cells:
.. math::
\phi_f = (\phi_1 - \phi_2) \frac{d_{f2}}{d_{12}} + \phi_2
>>> from fipy.meshes import Grid1D
>>> from fipy import numerix
>>> mesh = Grid1D(dx = (1., 1.))
>>> L = 1
>>> R = 2
>>> var = CellVariable(mesh = mesh, value = (L, R))
>>> faceValue = var.arithmeticFaceValue[mesh.interiorFaces.value]
>>> answer = (R - L) * (0.5 / 1.) + L
>>> print numerix.allclose(faceValue, answer, atol = 1e-10, rtol = 1e-10)
True
>>> mesh = Grid1D(dx = (2., 4.))
>>> var = CellVariable(mesh = mesh, value = (L, R))
>>> faceValue = var.arithmeticFaceValue[mesh.interiorFaces.value]
>>> answer = (R - L) * (1.0 / 3.0) + L
>>> print numerix.allclose(faceValue, answer, atol = 1e-10, rtol = 1e-10)
True
>>> mesh = Grid1D(dx = (10., 100.))
>>> var = CellVariable(mesh = mesh, value = (L, R))
>>> faceValue = var.arithmeticFaceValue[mesh.interiorFaces.value]
>>> answer = (R - L) * (5.0 / 55.0) + L
>>> print numerix.allclose(faceValue, answer, atol = 1e-10, rtol = 1e-10)
True
"""
if not hasattr(self, '_arithmeticFaceValue'):
from fipy.variables.arithmeticCellToFaceVariable import _ArithmeticCellToFaceVariable
self._arithmeticFaceValue = _ArithmeticCellToFaceVariable(self)
return self._arithmeticFaceValue