Error Bounds for Numerical Solutions to Hydrodynamical Problems Involving Shocks

DOI10.1137/0728035zbMath0733.76035OpenAlexW1994709716MaRDI QIDQ3359880

Darrell L. Hicks, Kenneth L. jun. Kuttler

Publication date: 1991

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0728035

zbMATH Keywords

convergenceapproximate solutionserror boundsshock wavesideal gashydrodynamical modelsNavier-Stokes viscositythermomechanical equationsglobally well-posed models

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Basic methods in fluid mechanics (76M99) Foundations of fluid mechanics (76A02)

Related Items (4)

Answering von Neumann's conjecture on convergence of averages and analyzing the von Neumann-Richtmyer scheme via a material averaging method ⋮ Conservative smoothing stabilizes discrete-numerical instabilities in SPH material dynamics computations ⋮ Eigenform error estimates of computational material dynamics with shocks. 1.1. Hooke's law materials ⋮ Lanczos' generalized derivative: Insights and applications

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