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annotate src/SbpOperators/volumeops/derivatives/secondderivative.jl @ 623:914428a1fc61 feature/volume_and_boundary_operators

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Add documentation
author Vidar Stiernström <vidar.stiernstrom@it.uu.se>
date Mon, 21 Dec 2020 23:11:09 +0100
parents 332f65c1abf3
children 1accc3e051d0
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914428a1fc61 Add documentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 619
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1 """
914428a1fc61 Add documentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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2 SecondDerivative(grid::EquidistantGrid{Dim}, inner_stencil, closure_stencils, direction)
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 619
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3 SecondDerivative(grid::EquidistantGrid{1}, inner_stencil, closure_stencils)
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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4
914428a1fc61 Add documentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 619
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5 Creates the second-derivative operator `D2` as a `TensorMapping`
914428a1fc61 Add documentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 619
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6
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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7 `D2` approximates the second-derivative d²/dξ² on `grid` along the coordinate dimension specified by
914428a1fc61 Add documentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 619
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8 `direction`, using the stencil `inner_stencil` in the interior and a set of stencils `closure_stencils`
914428a1fc61 Add documentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 619
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9 for the points in the closure regions.
914428a1fc61 Add documentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 619
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10
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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11 On a one-dimensional `grid`, `D2` is a `VolumeOperator`. On a multi-dimensional `grid`, `D2` is the outer product of the
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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12 one-dimensional operator with the `IdentityMapping`s in orthogonal coordinate dirrections.
914428a1fc61 Add documentation
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 619
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13 Also see the documentation of `SbpOperators.volume_operator(...)` for more details.
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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14 """
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Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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15 function SecondDerivative(grid::EquidistantGrid{Dim}, inner_stencil, closure_stencils, direction) where Dim
e71f2f81b5f8 NOT WORKING: Draft implementation of VolumeOperator and make SecondDerivative specialize it. Reformulate Laplace for the new SecondDerivative.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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16 h_inv = inverse_spacing(grid)[direction]
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332f65c1abf3 Remove export of BoundaryOperator and VolumeOperator
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
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17 return SbpOperators.volume_operator(grid, scale(inner_stencil,h_inv^2), scale.(closure_stencils,h_inv^2), even, direction)
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0844069ab5ff Reinclude SbpOperators and fix most of the code and tests there.
Jonatan Werpers <jonatan@werpers.com>
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18 end
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e71f2f81b5f8 NOT WORKING: Draft implementation of VolumeOperator and make SecondDerivative specialize it. Reformulate Laplace for the new SecondDerivative.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 548
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19 SecondDerivative(grid::EquidistantGrid{1}, inner_stencil, closure_stencils) = SecondDerivative(grid,inner_stencil,closure_stencils,1)
e71f2f81b5f8 NOT WORKING: Draft implementation of VolumeOperator and make SecondDerivative specialize it. Reformulate Laplace for the new SecondDerivative.
Vidar Stiernström <vidar.stiernstrom@it.uu.se>
parents: 548
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20 export SecondDerivative