Comparative study of limiters for Harten-Yee TVD scheme. | [Proceedings 6th International Bhurban Conference on Applied Sciences and Technology • 2009]

Author(s):

1. Mukkarum Husain: Institute of Fluid Mechanics, Beihang University, Beijing, China

2. C. H. Lee: Institute of Fluid Mechanics, Beihang University, Beijing, China

3. Kamran Qureshi: Institute of Fluid Mechanics, Beihang University, Beijing, China

Abstract:

The maturity of shock-capturing finite difference methods for hyperbolic conservation laws has been a rapidly growing area for the last three decade. The construction of efficient high order low dissipation numerical methods for nonlinear hyperbolic conservation laws has been the subject of much research recently. The objective of the present work is to discuss the applicability and limitation of different limiters for Harten-Yee TVD Scheme. Hypersonic flow over a flat plate and compression corner are solved for comparative study. In all test cases, the flow is laminar, hypersonic, and the conditions are such that the perfect gas assumption is sufficient to describe the thermodynamics. Comparison is made between numerical and available experimental results. Steady-state numerical solution for the unsteady Navier-Stokes equation of finite-difference form is obtained. Roe`s approximate average state is used to calculate eigenvalues and eigenvector matrix.

Page(s): 261-265

DOI: DOI not available

Published: Journal: Proceedings 6th International Bhurban Conference on Applied Sciences and Technology , Volume: 1, Issue: 0, Year: 2009

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