From Artificial Viscosity to ENO Schemes
In this paper we present a conceptual review of shock capturing schemes. We start with notions of numerical viscosity and then describe hybrid schemes, TVD schemes and ENO schemes, paying special attention to the increasing nonlinearity in the design of these schemes. We study the nature of this nonlinearity and examine its relation to interpolation and artificial compression.
KeywordsRarefaction Wave Initial Value Problem Total Variation Diminishing Spurious Oscillation Numerical Flux
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