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Designing an Efficient Solution Strategy for Fluid Flows: 1. A Stable High Order Finite Difference Scheme and Sharp Shock Resolution for the Euler Equations

✍ Scribed by Margot Gerritsen; Pelle Olsson

Publisher: Elsevier Science
Year: 1996
Tongue: English
Weight: 464 KB
Volume: 129
Category: Article
ISSN: 0021-9991
DOI: 10.1006/jcph.1996.0248

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✦ Synopsis

a plethora of problems in computational fluid dynamics that have these characteristics. Examples are the numerical

We derive high-order finite difference schemes for the compressible Euler (and Navier-Stokes equations) that satisfy a semidiscrete • Addition of an artificial viscosity term in refined described and the detection algorithm are part of a general solution strategy for fluid flows, which is currently being developed by the shock regions authors and collaborators.

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Designing an Efficient Solution Strategy for Fluid Flows: II. Stable High-Order Central Finite Difference Schemes on Composite Adaptive Grids with Sharp Shock Resolution

✍ Margot Gerritsen; Pelle Olsson 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 467 KB

A simple and efficient solution strategy is designed for fluid flows governed by the compressible Euler equations. It is constructed from a stable high-order central finite difference scheme on structured composite adaptive grids. This basic framework is suitable for solving smooth flows on complica