discretize.DiffOperators.DiffOperators¶

class
discretize.DiffOperators.
DiffOperators
[source]¶ Bases:
object
Class creates the differential operators that you need!
Attributes: aveCC2F
Construct the averaging operator on cell centers to faces.
aveCCV2F
Construct the averaging operator on cell centers to faces as a vector.
aveE2CC
Construct the averaging operator on cell edges to cell centers.
aveE2CCV
Construct the averaging operator on cell edges to cell centers.
aveEx2CC
Construct the averaging operator on cell edges in the x direction to cell centers.
aveEy2CC
Construct the averaging operator on cell edges in the y direction to cell centers.
aveEz2CC
Construct the averaging operator on cell edges in the z direction to cell centers.
aveF2CC
Construct the averaging operator on cell faces to cell centers.
aveF2CCV
Construct the averaging operator on cell faces to cell centers.
aveFx2CC
Construct the averaging operator on cell faces in the x direction to cell centers.
aveFy2CC
Construct the averaging operator on cell faces in the y direction to cell centers.
aveFz2CC
Construct the averaging operator on cell faces in the z direction to cell centers.
aveN2CC
Construct the averaging operator on cell nodes to cell centers.
aveN2E
Construct the averaging operator on cell nodes to cell edges, keeping each dimension separate.
aveN2F
Construct the averaging operator on cell nodes to cell faces, keeping each dimension separate.
cellGrad
The cell centered Gradient, takes you to cell faces.
cellGradBC
The cell centered Gradient boundary condition matrix
cellGradx
Cell centered Gradient in the x dimension.
 cellGrady
cellGradz
Cell centered Gradient in the x dimension.
edgeCurl
Construct the 3D curl operator.
faceDiv
Construct divergence operator (facestg to cellcentres).
faceDivx
Construct divergence operator in the x component (facestg to cellcentres).
 faceDivy
faceDivz
Construct divergence operator in the z component (facestg to cellcenters).
nodalGrad
Construct gradient operator (nodes to edges).
nodalLaplacian
Construct laplacian operator (nodes to edges).
Methods
getBCProjWF
(self, BC[, discretization])The weak form boundary condition projection matrices. getBCProjWF_simple
(self[, discretization])The weak form boundary condition projection matrices when mixed boundary condition is used setCellGradBC
(self, BC)Function that sets the boundary conditions for cellcentred derivative operators.
Attributes¶

DiffOperators.
aveCC2F
¶ Construct the averaging operator on cell centers to faces.

DiffOperators.
aveCCV2F
¶ Construct the averaging operator on cell centers to faces as a vector.

DiffOperators.
aveE2CC
¶ Construct the averaging operator on cell edges to cell centers.

DiffOperators.
aveE2CCV
¶ Construct the averaging operator on cell edges to cell centers.

DiffOperators.
aveEx2CC
¶ Construct the averaging operator on cell edges in the x direction to cell centers.

DiffOperators.
aveEy2CC
¶ Construct the averaging operator on cell edges in the y direction to cell centers.

DiffOperators.
aveEz2CC
¶ Construct the averaging operator on cell edges in the z direction to cell centers.

DiffOperators.
aveF2CC
¶ Construct the averaging operator on cell faces to cell centers.

DiffOperators.
aveF2CCV
¶ Construct the averaging operator on cell faces to cell centers.

DiffOperators.
aveFx2CC
¶ Construct the averaging operator on cell faces in the x direction to cell centers.

DiffOperators.
aveFy2CC
¶ Construct the averaging operator on cell faces in the y direction to cell centers.

DiffOperators.
aveFz2CC
¶ Construct the averaging operator on cell faces in the z direction to cell centers.

DiffOperators.
aveN2CC
¶ Construct the averaging operator on cell nodes to cell centers.

DiffOperators.
aveN2E
¶ Construct the averaging operator on cell nodes to cell edges, keeping each dimension separate.

DiffOperators.
aveN2F
¶ Construct the averaging operator on cell nodes to cell faces, keeping each dimension separate.

DiffOperators.
cellGrad
¶ The cell centered Gradient, takes you to cell faces.

DiffOperators.
cellGradBC
¶ The cell centered Gradient boundary condition matrix

DiffOperators.
cellGradx
¶ Cell centered Gradient in the x dimension. Has neumann boundary conditions.

DiffOperators.
cellGrady
¶

DiffOperators.
cellGradz
¶ Cell centered Gradient in the x dimension. Has neumann boundary conditions.

DiffOperators.
edgeCurl
¶ Construct the 3D curl operator.

DiffOperators.
faceDiv
¶ Construct divergence operator (facestg to cellcentres).

DiffOperators.
faceDivx
¶ Construct divergence operator in the x component (facestg to cellcentres).

DiffOperators.
faceDivy
¶

DiffOperators.
faceDivz
¶ Construct divergence operator in the z component (facestg to cellcenters).

DiffOperators.
nodalGrad
¶ Construct gradient operator (nodes to edges).

DiffOperators.
nodalLaplacian
¶ Construct laplacian operator (nodes to edges).
Methods¶

DiffOperators.
getBCProjWF
(self, BC, discretization='CC')[source]¶ The weak form boundary condition projection matrices.
Examples
# Neumann in all directions BC = 'neumann' # 3D, Dirichlet in y Neumann else BC = ['neumann', 'dirichlet', 'neumann'] # 3D, Neumann in x on bottom of domain, Dirichlet else BC = [['neumann', 'dirichlet'], 'dirichlet', 'dirichlet']

DiffOperators.
getBCProjWF_simple
(self, discretization='CC')[source]¶ The weak form boundary condition projection matrices when mixed boundary condition is used

DiffOperators.
setCellGradBC
(self, BC)[source]¶ Function that sets the boundary conditions for cellcentred derivative operators.
Examples
..code:: python
# Neumann in all directions BC = ‘neumann’
# 3D, Dirichlet in y Neumann else BC = [‘neumann’, ‘dirichlet’, ‘neumann’]
# 3D, Neumann in x on bottom of domain, Dirichlet else BC = [[‘neumann’, ‘dirichlet’], ‘dirichlet’, ‘dirichlet’]