A Review on the Numerical Solution of the 1D Euler Equations

Hudson, Justin (2006) A Review on the Numerical Solution of the 1D Euler Equations. [MIMS Preprint]

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Abstract

This paper presents a review on the numerical solution of the Euler equations. Three different high resolution versions of the following schemes are considered: Roe's scheme, the HLLE scheme and the AUSM+ scheme. We present a variety of test cases, each designed to test the robustness of each scheme and compare the results to determine which scheme was the most accurate.

Item Type: MIMS Preprint
Subjects: MSC 2010, the AMS's Mathematics Subject Classification > 35 Partial differential equations
MSC 2010, the AMS's Mathematics Subject Classification > 65 Numerical analysis
MSC 2010, the AMS's Mathematics Subject Classification > 76 Fluid mechanics
Depositing User: Dr Justin Hudson
Date Deposited: 26 Jan 2006
Last Modified: 20 Oct 2017 14:12
URI: https://eprints.maths.manchester.ac.uk/id/eprint/150

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