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Semidiscretization for BBM-BBM equations with SBP variable coefficient operator #53

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JoshuaLampert opened this issue Oct 9, 2023 · 0 comments
Open

Semidiscretization for BBM-BBM equations with SBP variable coefficient operator #53

JoshuaLampert opened this issue Oct 9, 2023 · 0 comments
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enhancement New feature or request

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@JoshuaLampert
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JoshuaLampert commented Oct 9, 2023 •
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In Summation by Parts Operators for Finite Difference Approximations of Second-Derivatives with Variable Coefficients (2012) by K. Mattsson, SBP operators for second derivatives with variable coefficients have been introduced. These could be used here to use narrow-stencil SBP operators for the semidiscretization for the BBM-BBM equations with variable bathymetry. In SummationByPartsOperators.jl they are accessible by var_coef_derivative_operator and source Mattsson2012().

EDIT: SummationByPartsOperators.jl does not implement variable coefficient second-derivative SBP operators for periodic boundary conditions yet.

EDIT2: See ranocha/SummationByPartsOperators.jl#258
@JoshuaLampert JoshuaLampert added the enhancement New feature or request label Oct 10, 2023
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