Compatible diagonal-norm staggered and upwind SBP operators
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Publication:1683827
DOI10.1016/j.jcp.2017.09.044zbMath1375.76111OpenAlexW2759593740MaRDI QIDQ1683827
Publication date: 1 December 2017
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2017.09.044
stabilityEuler equationsfinite difference methodsstaggered gridshigh-order accuracyboundary treatment
Finite difference methods applied to problems in fluid mechanics (76M20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)
Related Items (10)
Discrete vector calculus and Helmholtz Hodge decomposition for classical finite difference summation by parts operators ⋮ A stable FDTD subgridding scheme with SBP-SAT for transient TM analysis ⋮ Boundary and interface methods for energy stable finite difference discretizations of the dynamic beam equation ⋮ Mimetic finite difference operators and higher order quadratures ⋮ A Broad Class of Conservative Numerical Methods for Dispersive Wave Equations ⋮ SBP-SAT finite difference discretization of acoustic wave equations on staggered block-wise uniform grids ⋮ A novel strategy for deriving high-order stable boundary closures based on global conservation. I: Basic formulas ⋮ An improved projection method ⋮ Combining finite element and finite difference methods for isotropic elastic wave simulations in an energy-conserving manner ⋮ Implicit summation by parts operators for finite difference approximations of first and second derivatives
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