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annotate src/SbpOperators/volumeops/derivatives/second_derivative.jl @ 947:38d1752a9aff feature/laplace_opset

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Reformat "See also:"
author Jonatan Werpers <jonatan@werpers.com>
date Sun, 13 Mar 2022 21:01:09 +0100
parents 22c80fb36400
children 6a8d7fbf55fc
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1 """
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2 second_derivative(grid::EquidistantGrid, inner_stencil, closure_stencils, direction)
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4 Creates the second-derivative operator `D2` as a `TensorMapping`
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6 `D2` approximates the second-derivative d²/dξ² on `grid` along the coordinate dimension specified by
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7 `direction`, using the stencil `inner_stencil` in the interior and a set of stencils `closure_stencils`
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8 for the points in the closure regions.
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10 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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11 one-dimensional operator with the `IdentityMapping`s in orthogonal coordinate dirrections.
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13 See also: [`volume_operator`](@ref).
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14 """
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15 function second_derivative(grid::EquidistantGrid, inner_stencil, closure_stencils, direction)
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16 h_inv = inverse_spacing(grid)[direction]
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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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18 end
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1accc3e051d0 Start changing the name of functions creating operators that are not types to lower case. E.g SecondDerivative->second_derivative
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19 second_derivative(grid::EquidistantGrid{1}, inner_stencil, closure_stencils) = second_derivative(grid,inner_stencil,closure_stencils,1)