File derivs.hxx#
Basic differential functions
Copyright 2010,2017 B.D.Dudson, S.Farley, M.V.Umansky, X.Q.Xu, D. Schwörer
Contact: Ben Dudson, bd512@york.ac.uk
This file is part of BOUT++.
BOUT++ is free software: you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation, either version 3 of the License, or (at your option) any later version.
BOUT++ is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details.
You should have received a copy of the GNU Lesser General Public License along with BOUT++. If not, see http://www.gnu.org/licenses/.
Functions
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Field3D DDX(const Field3D &f, CELL_LOC outloc = CELL_DEFAULT, const std::string &method = "DEFAULT", const std::string ®ion = "RGN_NOBNDRY")
Calculate first partial derivative in X
\(\partial / \partial x\)
- Parameters:
f – [in] The field to be differentiated
outloc – [in] The cell location where the result is desired. If staggered grids is not enabled then this has no effect If not given, defaults to CELL_DEFAULT
method – [in] Differencing method to use. This overrides the default If not given, defaults to DIFF_DEFAULT
region – [in] What region is expected to be calculated If not given, defaults to RGN_NOBNDRY
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Coordinates::FieldMetric DDX(const Field2D &f, CELL_LOC outloc = CELL_DEFAULT, const std::string &method = "DEFAULT", const std::string ®ion = "RGN_NOBNDRY")
Calculate first partial derivative in X
\(\partial / \partial x\)
- Parameters:
f – [in] The field to be differentiated
outloc – [in] The cell location where the result is desired. If staggered grids is not enabled then this has no effect If not given, defaults to CELL_DEFAULT
method – [in] Differencing method to use. This overrides the default If not given, defaults to DIFF_DEFAULT
region – [in] What region is expected to be calculated If not given, defaults to RGN_NOBNDRY
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Field3D DDY(const Field3D &f, CELL_LOC outloc = CELL_DEFAULT, const std::string &method = "DEFAULT", const std::string ®ion = "RGN_NOBNDRY")
Calculate first partial derivative in Y
\(\partial / \partial y\)
- Parameters:
f – [in] The field to be differentiated
outloc – [in] The cell location where the result is desired. If staggered grids is not enabled then this has no effect If not given, defaults to CELL_DEFAULT
method – [in] Differencing method to use. This overrides the default If not given, defaults to DIFF_DEFAULT
region – [in] What region is expected to be calculated If not given, defaults to RGN_NOBNDRY
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Coordinates::FieldMetric DDY(const Field2D &f, CELL_LOC outloc = CELL_DEFAULT, const std::string &method = "DEFAULT", const std::string ®ion = "RGN_NOBNDRY")
Calculate first partial derivative in Y
\(\partial / \partial y\)
- Parameters:
f – [in] The field to be differentiated
outloc – [in] The cell location where the result is desired. If staggered grids is not enabled then this has no effect If not given, defaults to CELL_DEFAULT
method – [in] Differencing method to use. This overrides the default If not given, defaults to DIFF_DEFAULT
region – [in] What region is expected to be calculated If not given, defaults to RGN_NOBNDRY
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Field3D DDZ(const Field3D &f, CELL_LOC outloc = CELL_DEFAULT, const std::string &method = "DEFAULT", const std::string ®ion = "RGN_NOBNDRY")
Calculate first partial derivative in Z
\(\partial / \partial z\)
- Parameters:
f – [in] The field to be differentiated
outloc – [in] The cell location where the result is desired. If staggered grids is not enabled then this has no effect If not given, defaults to CELL_DEFAULT
method – [in] Differencing method to use. This overrides the default If not given, defaults to DIFF_DEFAULT
region – [in] What region is expected to be calculated If not given, defaults to RGN_NOBNDRY
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Coordinates::FieldMetric DDZ(const Field2D &f, CELL_LOC outloc = CELL_DEFAULT, const std::string &method = "DEFAULT", const std::string ®ion = "RGN_NOBNDRY")
Calculate first partial derivative in Z
\(\partial / \partial z\)
- Parameters:
f – [in] The field to be differentiated
outloc – [in] The cell location where the result is desired. If staggered grids is not enabled then this has no effect If not given, defaults to CELL_DEFAULT
method – [in] Differencing method to use. This overrides the default If not given, defaults to DIFF_DEFAULT
region – [in] What region is expected to be calculated If not given, defaults to RGN_NOBNDRY
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Vector3D DDZ(const Vector3D &f, CELL_LOC outloc = CELL_DEFAULT, const std::string &method = "DEFAULT", const std::string ®ion = "RGN_NOBNDRY")
Calculate first partial derivative in Z
\(\partial / \partial z\)
- Parameters:
f – [in] The field to be differentiated
outloc – [in] The cell location where the result is desired. If staggered grids is not enabled then this has no effect If not given, defaults to CELL_DEFAULT
method – [in] Differencing method to use. This overrides the default If not given, defaults to DIFF_DEFAULT
region – [in] What region is expected to be calculated If not given, defaults to RGN_NOBNDRY
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Vector2D DDZ(const Vector2D &f, CELL_LOC outloc = CELL_DEFAULT, const std::string &method = "DEFAULT", const std::string ®ion = "RGN_NOBNDRY")
Calculate first partial derivative in Z
\(\partial / \partial z\)
- Parameters:
f – [in] The field to be differentiated
outloc – [in] The cell location where the result is desired. If staggered grids is not enabled then this has no effect If not given, defaults to CELL_DEFAULT
method – [in] Differencing method to use. This overrides the default If not given, defaults to DIFF_DEFAULT
region – [in] What region is expected to be calculated If not given, defaults to RGN_NOBNDRY
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Field3D D2DX2(const Field3D &f, CELL_LOC outloc = CELL_DEFAULT, const std::string &method = "DEFAULT", const std::string ®ion = "RGN_NOBNDRY")
Calculate second partial derivative in X
\(\partial^2 / \partial x^2\)
- Parameters:
f – [in] The field to be differentiated
outloc – [in] The cell location where the result is desired. If staggered grids is not enabled then this has no effect If not given, defaults to CELL_DEFAULT
method – [in] Differencing method to use. This overrides the default If not given, defaults to DIFF_DEFAULT
region – [in] What region is expected to be calculated If not given, defaults to RGN_NOBNDRY
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Coordinates::FieldMetric D2DX2(const Field2D &f, CELL_LOC outloc = CELL_DEFAULT, const std::string &method = "DEFAULT", const std::string ®ion = "RGN_NOBNDRY")
Calculate second partial derivative in X
\(\partial^2 / \partial x^2\)
- Parameters:
f – [in] The field to be differentiated
outloc – [in] The cell location where the result is desired. If staggered grids is not enabled then this has no effect If not given, defaults to CELL_DEFAULT
method – [in] Differencing method to use. This overrides the default If not given, defaults to DIFF_DEFAULT
region – [in] What region is expected to be calculated If not given, defaults to RGN_NOBNDRY
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Field3D D2DY2(const Field3D &f, CELL_LOC outloc = CELL_DEFAULT, const std::string &method = "DEFAULT", const std::string ®ion = "RGN_NOBNDRY")
Calculate second partial derivative in Y
\(\partial^2 / \partial y^2\)
- Parameters:
f – [in] The field to be differentiated
outloc – [in] The cell location where the result is desired. If staggered grids is not enabled then this has no effect If not given, defaults to CELL_DEFAULT
method – [in] Differencing method to use. This overrides the default If not given, defaults to DIFF_DEFAULT
region – [in] What region is expected to be calculated If not given, defaults to RGN_NOBNDRY
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Coordinates::FieldMetric D2DY2(const Field2D &f, CELL_LOC outloc = CELL_DEFAULT, const std::string &method = "DEFAULT", const std::string ®ion = "RGN_NOBNDRY")
Calculate second partial derivative in Y
\(\partial^2 / \partial y^2\)
- Parameters:
f – [in] The field to be differentiated
outloc – [in] The cell location where the result is desired. If staggered grids is not enabled then this has no effect If not given, defaults to CELL_DEFAULT
method – [in] Differencing method to use. This overrides the default If not given, defaults to DIFF_DEFAULT
region – [in] What region is expected to be calculated If not given, defaults to RGN_NOBNDRY
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Field3D D2DZ2(const Field3D &f, CELL_LOC outloc = CELL_DEFAULT, const std::string &method = "DEFAULT", const std::string ®ion = "RGN_NOBNDRY")
Calculate second partial derivative in Z
\(\partial^2 / \partial z^2\)
- Parameters:
f – [in] The field to be differentiated
outloc – [in] The cell location where the result is desired. If staggered grids is not enabled then this has no effect If not given, defaults to CELL_DEFAULT
method – [in] Differencing method to use. This overrides the default If not given, defaults to DIFF_DEFAULT
region – [in] What region is expected to be calculated If not given, defaults to RGN_NOBNDRY
-
Coordinates::FieldMetric D2DZ2(const Field2D &f, CELL_LOC outloc = CELL_DEFAULT, const std::string &method = "DEFAULT", const std::string ®ion = "RGN_NOBNDRY")
Calculate second partial derivative in Z
\(\partial^2 / \partial z^2\)
- Parameters:
f – [in] The field to be differentiated
outloc – [in] The cell location where the result is desired. If staggered grids is not enabled then this has no effect If not given, defaults to CELL_DEFAULT
method – [in] Differencing method to use. This overrides the default If not given, defaults to DIFF_DEFAULT
region – [in] What region is expected to be calculated If not given, defaults to RGN_NOBNDRY
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Field3D D4DX4(const Field3D &f, CELL_LOC outloc = CELL_DEFAULT, const std::string &method = "DEFAULT", const std::string ®ion = "RGN_NOBNDRY")
Calculate forth partial derivative in X
\(\partial^4 / \partial x^4\)
- Parameters:
f – [in] The field to be differentiated
outloc – [in] The cell location where the result is desired. If staggered grids is not enabled then this has no effect If not given, defaults to CELL_DEFAULT
method – [in] Differencing method to use. This overrides the default If not given, defaults to DIFF_DEFAULT
region – [in] What region is expected to be calculated If not given, defaults to RGN_NOBNDRY
-
Coordinates::FieldMetric D4DX4(const Field2D &f, CELL_LOC outloc = CELL_DEFAULT, const std::string &method = "DEFAULT", const std::string ®ion = "RGN_NOBNDRY")
Calculate forth partial derivative in X
\(\partial^4 / \partial x^4\)
- Parameters:
f – [in] The field to be differentiated
outloc – [in] The cell location where the result is desired. If staggered grids is not enabled then this has no effect If not given, defaults to CELL_DEFAULT
method – [in] Differencing method to use. This overrides the default If not given, defaults to DIFF_DEFAULT
region – [in] What region is expected to be calculated If not given, defaults to RGN_NOBNDRY
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Field3D D4DY4(const Field3D &f, CELL_LOC outloc = CELL_DEFAULT, const std::string &method = "DEFAULT", const std::string ®ion = "RGN_NOBNDRY")
Calculate forth partial derivative in Y
\(\partial^4 / \partial y^4\)
- Parameters:
f – [in] The field to be differentiated
outloc – [in] The cell location where the result is desired. If staggered grids is not enabled then this has no effect If not given, defaults to CELL_DEFAULT
method – [in] Differencing method to use. This overrides the default If not given, defaults to DIFF_DEFAULT
region – [in] What region is expected to be calculated If not given, defaults to RGN_NOBNDRY
-
Coordinates::FieldMetric D4DY4(const Field2D &f, CELL_LOC outloc = CELL_DEFAULT, const std::string &method = "DEFAULT", const std::string ®ion = "RGN_NOBNDRY")
Calculate forth partial derivative in Y
\(\partial^4 / \partial y^4\)
- Parameters:
f – [in] The field to be differentiated
outloc – [in] The cell location where the result is desired. If staggered grids is not enabled then this has no effect If not given, defaults to CELL_DEFAULT
method – [in] Differencing method to use. This overrides the default If not given, defaults to DIFF_DEFAULT
region – [in] What region is expected to be calculated If not given, defaults to RGN_NOBNDRY
-
Field3D D4DZ4(const Field3D &f, CELL_LOC outloc = CELL_DEFAULT, const std::string &method = "DEFAULT", const std::string ®ion = "RGN_NOBNDRY")
Calculate forth partial derivative in Z
\(\partial^4 / \partial z^4\)
- Parameters:
f – [in] The field to be differentiated
outloc – [in] The cell location where the result is desired. If staggered grids is not enabled then this has no effect If not given, defaults to CELL_DEFAULT
method – [in] Differencing method to use. This overrides the default If not given, defaults to DIFF_DEFAULT
region – [in] What region is expected to be calculated If not given, defaults to RGN_NOBNDRY
-
Coordinates::FieldMetric D4DZ4(const Field2D &f, CELL_LOC outloc = CELL_DEFAULT, const std::string &method = "DEFAULT", const std::string ®ion = "RGN_NOBNDRY")
Calculate forth partial derivative in Z
\(\partial^4 / \partial z^4\)
- Parameters:
f – [in] The field to be differentiated
outloc – [in] The cell location where the result is desired. If staggered grids is not enabled then this has no effect If not given, defaults to CELL_DEFAULT
method – [in] Differencing method to use. This overrides the default If not given, defaults to DIFF_DEFAULT
region – [in] What region is expected to be calculated If not given, defaults to RGN_NOBNDRY
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Field3D VDDX(const Field3D &v, const Field3D &f, CELL_LOC outloc = CELL_DEFAULT, const std::string &method = "DEFAULT", const std::string ®ion = "RGN_NOBNDRY")
General version for 2 or 3-D objects.
For terms of form v * grad(f)
\(v \cdot \partial f / \partial x\)
- Parameters:
v – [in] The velocity field
f – [in] The field of the advected quantity
outloc – [in] The cell location where the result is desired. If staggered grids is not enabled then this has no effect If not given, defaults to CELL_DEFAULT
method – [in] Differencing method to use. This overrides the default If not given, defaults to DIFF_DEFAULT
region – [in] What region is expected to be calculated If not given, defaults to RGN_NOBNDRY
-
Coordinates::FieldMetric VDDX(const Field2D &v, const Field2D &f, CELL_LOC outloc = CELL_DEFAULT, const std::string &method = "DEFAULT", const std::string ®ion = "RGN_NOBNDRY")
Special case where both arguments are 2D.
For terms of form v * grad(f)
\(v \cdot \partial f / \partial x\)
- Parameters:
v – [in] The velocity field
f – [in] The field of the advected quantity
outloc – [in] The cell location where the result is desired. If staggered grids is not enabled then this has no effect If not given, defaults to CELL_DEFAULT
method – [in] Differencing method to use. This overrides the default If not given, defaults to DIFF_DEFAULT
region – [in] What region is expected to be calculated If not given, defaults to RGN_NOBNDRY
-
Field3D VDDY(const Field3D &v, const Field3D &f, CELL_LOC outloc = CELL_DEFAULT, const std::string &method = "DEFAULT", const std::string ®ion = "RGN_NOBNDRY")
For terms of form v * grad(f)
\(v \cdot \partial f / \partial y\)
- Parameters:
v – [in] The velocity field
f – [in] The field of the advected quantity
outloc – [in] The cell location where the result is desired. If staggered grids is not enabled then this has no effect If not given, defaults to CELL_DEFAULT
method – [in] Differencing method to use. This overrides the default If not given, defaults to DIFF_DEFAULT
region – [in] What region is expected to be calculated If not given, defaults to RGN_NOBNDRY
-
Coordinates::FieldMetric VDDY(const Field2D &v, const Field2D &f, CELL_LOC outloc = CELL_DEFAULT, const std::string &method = "DEFAULT", const std::string ®ion = "RGN_NOBNDRY")
For terms of form v * grad(f)
\(v \cdot \partial f / \partial y\)
- Parameters:
v – [in] The velocity field
f – [in] The field of the advected quantity
outloc – [in] The cell location where the result is desired. If staggered grids is not enabled then this has no effect If not given, defaults to CELL_DEFAULT
method – [in] Differencing method to use. This overrides the default If not given, defaults to DIFF_DEFAULT
region – [in] What region is expected to be calculated If not given, defaults to RGN_NOBNDRY
-
Field3D VDDZ(const Field3D &v, const Field3D &f, CELL_LOC outloc = CELL_DEFAULT, const std::string &method = "DEFAULT", const std::string ®ion = "RGN_NOBNDRY")
For terms of form v * grad(f)
\(v \cdot \partial f / \partial z\)
- Parameters:
v – [in] The velocity field
f – [in] The field of the advected quantity
outloc – [in] The cell location where the result is desired. If staggered grids is not enabled then this has no effect If not given, defaults to CELL_DEFAULT
method – [in] Differencing method to use. This overrides the default If not given, defaults to DIFF_DEFAULT
region – [in] What region is expected to be calculated If not given, defaults to RGN_NOBNDRY
-
Coordinates::FieldMetric VDDZ(const Field2D &v, const Field2D &f, CELL_LOC outloc = CELL_DEFAULT, const std::string &method = "DEFAULT", const std::string ®ion = "RGN_NOBNDRY")
For terms of form v * grad(f)
\(v \cdot \partial f / \partial z\)
- Parameters:
v – [in] The velocity field
f – [in] The field of the advected quantity
outloc – [in] The cell location where the result is desired. If staggered grids is not enabled then this has no effect If not given, defaults to CELL_DEFAULT
method – [in] Differencing method to use. This overrides the default If not given, defaults to DIFF_DEFAULT
region – [in] What region is expected to be calculated If not given, defaults to RGN_NOBNDRY
-
Coordinates::FieldMetric VDDZ(const Field3D &v, const Field2D &f, CELL_LOC outloc = CELL_DEFAULT, const std::string &method = "DEFAULT", const std::string ®ion = "RGN_NOBNDRY")
For terms of form v * grad(f)
\(v \cdot \partial f / \partial z\)
- Parameters:
v – [in] The velocity field
f – [in] The field of the advected quantity
outloc – [in] The cell location where the result is desired. If staggered grids is not enabled then this has no effect If not given, defaults to CELL_DEFAULT
method – [in] Differencing method to use. This overrides the default If not given, defaults to DIFF_DEFAULT
region – [in] What region is expected to be calculated If not given, defaults to RGN_NOBNDRY
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Field3D FDDX(const Field3D &v, const Field3D &f, CELL_LOC outloc = CELL_DEFAULT, const std::string &method = "DEFAULT", const std::string ®ion = "RGN_NOBNDRY")
for terms of form div(v * f)
\(\partial (v f) / \partial x\)
- Parameters:
v – [in] The velocity field
f – [in] The field of the advected quantity
outloc – [in] The cell location where the result is desired. If staggered grids is not enabled then this has no effect If not given, defaults to CELL_DEFAULT
method – [in] Differencing method to use. This overrides the default If not given, defaults to DIFF_DEFAULT
region – [in] What region is expected to be calculated If not given, defaults to RGN_NOBNDRY
-
Coordinates::FieldMetric FDDX(const Field2D &v, const Field2D &f, CELL_LOC outloc = CELL_DEFAULT, const std::string &method = "DEFAULT", const std::string ®ion = "RGN_NOBNDRY")
for terms of form div(v * f)
\(\partial (v f) / \partial x\)
- Parameters:
v – [in] The velocity field
f – [in] The field of the advected quantity
outloc – [in] The cell location where the result is desired. If staggered grids is not enabled then this has no effect If not given, defaults to CELL_DEFAULT
method – [in] Differencing method to use. This overrides the default If not given, defaults to DIFF_DEFAULT
region – [in] What region is expected to be calculated If not given, defaults to RGN_NOBNDRY
-
Field3D FDDY(const Field3D &v, const Field3D &f, CELL_LOC outloc = CELL_DEFAULT, const std::string &method = "DEFAULT", const std::string ®ion = "RGN_NOBNDRY")
for terms of form div(v * f)
\(\partial (v f) / \partial y\)
- Parameters:
v – [in] The velocity field
f – [in] The field of the advected quantity
outloc – [in] The cell location where the result is desired. If staggered grids is not enabled then this has no effect If not given, defaults to CELL_DEFAULT
method – [in] Differencing method to use. This overrides the default If not given, defaults to DIFF_DEFAULT
region – [in] What region is expected to be calculated If not given, defaults to RGN_NOBNDRY
-
Coordinates::FieldMetric FDDY(const Field2D &v, const Field2D &f, CELL_LOC outloc = CELL_DEFAULT, const std::string &method = "DEFAULT", const std::string ®ion = "RGN_NOBNDRY")
for terms of form div(v * f)
\(\partial (v f) / \partial y\)
- Parameters:
v – [in] The velocity field
f – [in] The field of the advected quantity
outloc – [in] The cell location where the result is desired. If staggered grids is not enabled then this has no effect If not given, defaults to CELL_DEFAULT
method – [in] Differencing method to use. This overrides the default If not given, defaults to DIFF_DEFAULT
region – [in] What region is expected to be calculated If not given, defaults to RGN_NOBNDRY
-
Field3D FDDZ(const Field3D &v, const Field3D &f, CELL_LOC outloc = CELL_DEFAULT, const std::string &method = "DEFAULT", const std::string ®ion = "RGN_NOBNDRY")
for terms of form div(v * f)
\(\partial (v f) / \partial z\)
- Parameters:
v – [in] The velocity field
f – [in] The field of the advected quantity
outloc – [in] The cell location where the result is desired. If staggered grids is not enabled then this has no effect If not given, defaults to CELL_DEFAULT
method – [in] Differencing method to use. This overrides the default If not given, defaults to DIFF_DEFAULT
region – [in] What region is expected to be calculated If not given, defaults to RGN_NOBNDRY
-
Coordinates::FieldMetric FDDZ(const Field2D &v, const Field2D &f, CELL_LOC outloc = CELL_DEFAULT, const std::string &method = "DEFAULT", const std::string ®ion = "RGN_NOBNDRY")
for terms of form div(v * f)
\(\partial (v f) / \partial z\)
- Parameters:
v – [in] The velocity field
f – [in] The field of the advected quantity
outloc – [in] The cell location where the result is desired. If staggered grids is not enabled then this has no effect If not given, defaults to CELL_DEFAULT
method – [in] Differencing method to use. This overrides the default If not given, defaults to DIFF_DEFAULT
region – [in] What region is expected to be calculated If not given, defaults to RGN_NOBNDRY
-
Field3D D2DXDY(const Field3D &f, CELL_LOC outloc = CELL_DEFAULT, const std::string &method = "DEFAULT", const std::string ®ion = "RGN_NOBNDRY", const std::string &dfdy_boundary_condition = "free_o3", const std::string &dfdy_region = "")
Calculate mixed partial derivative in x and y
\(\partial^2 / \partial x \partial y\)
Mixed derivative in X and Y
This first takes derivatives in Y, then in X.
** Communicates and applies boundary in X.
- Parameters:
f – [in] The field to be differentiated
outloc – [in] The cell location where the result is desired. If staggered grids is not enabled then this has no effect If not given, defaults to CELL_DEFAULT
method – [in] Differencing method to use. This overrides the default If not given, defaults to DIFF_DEFAULT
region – [in] What region is expected to be calculated If not given, defaults to RGN_NOBNDRY
dfdy_boundary_condition – [in] Boundary condition to use to set the guard cells of df/dy, before calculating the x-derivative.
dfdy_region – [in] Region in which to calculate df/dy. If an empty string (default) then the same as the region for the calculation as a whole. If dfdy_region < region in size then this will cause errors.
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Coordinates::FieldMetric D2DXDY(const Field2D &f, CELL_LOC outloc = CELL_DEFAULT, const std::string &method = "DEFAULT", const std::string ®ion = "RGN_NOBNDRY", const std::string &dfdy_boundary_condition = "free_o3", const std::string &dfdy_region = "")
Calculate mixed partial derivative in x and y
\(\partial^2 / \partial x \partial y\)
Mixed derivative in X and Y
This first takes derivatives in Y, then in X.
** Communicates and applies boundary in X.
- Parameters:
f – [in] The field to be differentiated
outloc – [in] The cell location where the result is desired. If staggered grids is not enabled then this has no effect If not given, defaults to CELL_DEFAULT
method – [in] Differencing method to use. This overrides the default If not given, defaults to DIFF_DEFAULT
region – [in] What region is expected to be calculated If not given, defaults to RGN_NOBNDRY
dfdy_boundary_condition – [in] Boundary condition to use to set the guard cells of df/dy, before calculating the x-derivative.
dfdy_region – [in] Region in which to calculate df/dy. If an empty string (default) then the same as the region for the calculation as a whole. If dfdy_region < region in size then this will cause errors.
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Field3D D2DXDZ(const Field3D &f, CELL_LOC outloc = CELL_DEFAULT, const std::string &method = "DEFAULT", const std::string ®ion = "RGN_NOBNDRY")
X-Z mixed derivative.
Calculate mixed partial derivative in x and z
\(\partial^2 / \partial x \partial z\)
- Parameters:
f – [in] The field to be differentiated
outloc – [in] The cell location where the result is desired. If staggered grids is not enabled then this has no effect If not given, defaults to CELL_DEFAULT
method – [in] Differencing method to use. This overrides the default If not given, defaults to DIFF_DEFAULT
region – [in] What region is expected to be calculated If not given, defaults to RGN_NOBNDRY
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Coordinates::FieldMetric D2DXDZ(const Field2D &f, CELL_LOC outloc = CELL_DEFAULT, const std::string &method = "DEFAULT", const std::string ®ion = "RGN_NOBNDRY")
Calculate mixed partial derivative in x and z
\(\partial^2 / \partial x \partial z\)
- Parameters:
f – [in] The field to be differentiated
outloc – [in] The cell location where the result is desired. If staggered grids is not enabled then this has no effect If not given, defaults to CELL_DEFAULT
method – [in] Differencing method to use. This overrides the default If not given, defaults to DIFF_DEFAULT
region – [in] What region is expected to be calculated If not given, defaults to RGN_NOBNDRY
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Field3D D2DYDZ(const Field3D &f, CELL_LOC outloc = CELL_DEFAULT, const std::string &method = "DEFAULT", const std::string ®ion = "RGN_NOBNDRY")
Calculate mixed partial derivative in y and z
\(\partial^2 / \partial y \partial z\)
- Parameters:
f – [in] The field to be differentiated
outloc – [in] The cell location where the result is desired. If staggered grids is not enabled then this has no effect If not given, defaults to CELL_DEFAULT
method – [in] Differencing method to use. This overrides the default If not given, defaults to DIFF_DEFAULT
region – [in] What region is expected to be calculated If not given, defaults to RGN_NOBNDRY
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Coordinates::FieldMetric D2DYDZ(const Field2D &f, CELL_LOC outloc = CELL_DEFAULT, const std::string &method = "DEFAULT", const std::string ®ion = "RGN_NOBNDRY")
Calculate mixed partial derivative in y and z
\(\partial^2 / \partial y \partial z\)
- Parameters:
f – [in] The field to be differentiated
outloc – [in] The cell location where the result is desired. If staggered grids is not enabled then this has no effect If not given, defaults to CELL_DEFAULT
method – [in] Differencing method to use. This overrides the default If not given, defaults to DIFF_DEFAULT
region – [in] What region is expected to be calculated If not given, defaults to RGN_NOBNDRY