High-order numerical schemes for high-speed flows
by Oliveira, Maria Luisa Bambozzi, Ph.D., THE UNIVERSITY OF TEXAS AT ARLINGTON, 2009, 72 pages; 3369381

Abstract:

A numerical scheme with high order of accuracy is necessary to resolve small length scales in flow transition and turbulence processes. However, numerical simulation for shock-boundary layer interaction, shock-acoustic interaction, porous media flow and multiple phase flow, among others, also require a numerical scheme that can successfully capture discontinuities. To accomplish this, it is essential that an effective shock/discontinuity detector is implemented to reduce damping of physically important high-frequency waves.

In this work, two high-order shock capturing schemes – the Weighted Essentially Non-Oscillatory (WENO) scheme and the Weighted Compact Scheme (WCS) – are investigated. Based on this analysis, a shock/discontinuity detector is developed. Results show that the detector is robust and is capable of detecting strong, weak and oblique shocks or discontinuities.
 
AdviserChaoqun Liu
SchoolTHE UNIVERSITY OF TEXAS AT ARLINGTON
SourceDAI/B 70-08, p. , Sep 2009
Source TypeDissertation
SubjectsMathematics; Plasma physics
Publication Number3369381
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