Effects of Viscosity on a Shock Wave Solution of the Euler Equations

Marco Kupiainen () and Gunilla Kreiss ()
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Marco Kupiainen: Royal Institute of Technology, Department of Numerical Analysis and Computer Science
Gunilla Kreiss: Royal Institute of Technology, Department of Numerical Analysis and Computer Science

A chapter in Hyperbolic Problems: Theory, Numerics, Applications, 2003, pp 655-664 from Springer

Abstract: Abstract Hyperbolic conservation laws are used to model many interesting phenomena such as gasdynamics, traffic flow, magneto-hydrodynamics etcetera. In general discontinuities will develop in the solution even when the initial data is smooth. In many cases dissipative effects have been neglected in the modelling. However, in most numerical computations of discontinous solutions numerical dissipation is present. One hopes that the solution will mainly be effected in the vicinity of the discontinuitites.

Keywords: Euler Equation; Wave Solution; Travel Wave Solution; Riemann Problem; Initial Profile (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-55711-8_61

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DOI: 10.1007/978-3-642-55711-8_61

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