Diffusion characteristics of finite volume and fluctuation splitting schemes

DOI10.1006/jcph.1999.6281zbMath0937.65106OpenAlexW2063115033MaRDI QIDQ1819031

William L. Kleb, William A. Wood

Publication date: 17 May 2000

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jcph.1999.6281

zbMATH Keywords

algorithmsstabilityconvergencefinite volumeartificial dissipationfluctuation splittingadvdection-diffusion problems

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Initial value problems for second-order parabolic equations (35K15) Initial value problems for second-order hyperbolic equations (35L15)

Related Items

A mass-matrix formulation of unsteady fluctuation splitting schemes consistent with Roe’s parameter vector ⋮ Comparison of solution accuracy of multidimensional residual distribution and Godunov-type finite-volume methods ⋮ Multiblock hybrid grid finite volume method to solve flow in irregular geometries

Cites Work

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• Approximate Riemann solvers, parameter vectors, and difference schemes
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• Convergence to steady state solutions of the Euler equations on unstructured grids with limiters
• Multigrid Solution of Monotone Second-Order Discretizations of Hyperbolic Conservation Laws
• Optimum Positive Linear Schemes for Advection in Two and Three Dimensions
• Three-dimensional unstructured viscous grids by the advancing-layers method

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