Please use this identifier to cite or link to this item: http://repository.vnu.edu.vn/handle/VNU_123/26680
Title: Numerical treatment of nonconservative terms in resonant regime for fluid flows in a nozzle with variable cross-section
Authors: Mai, Duc Thanh
Kroener, Dietmar
Keywords: Numerical treatment;Well-balanced scheme;Fluid dynamics;Nozzle;Hyperbolic conservation law;Source term;Shock wave;Stationary wave
Issue Date: 2012
Publisher: PERGAMON-ELSEVIER SCIENCE LTD, THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND
Citation: ISIKNOWLEDGE
Abstract: When data are on both sides of the resonant surface, existing numerical schemes often give unsatisfac-tory results. This phenomenon is probably caused by the truncation errors, which are added up to states near the resonant surface that could shift the approximate states into a wrong side of the resonant sur-face. In this paper, we enhance the well-balanced scheme constructed in an earlier work with a comput-ing corrector in the computing algorithm that selects the admissible equilibrium state. We build up two computing correctors of different types: one depends on the mesh-size and the other depends on the time iteration number. Each of these correctors will help the algorithm select the correct equilibrium state when there are two possible states. Moreover, we also improve the computational method solving the nonlinear equation that determines the equilibrium states by driving an equivalent form of the equa-tion such that the Newton–Raphson method can work perfectly. Numerical tests show that our well-bal-anced scheme equipped with each of the above two computing correctors gives good approximations for initial data in resonant regime.
Description: TNS06839 ; COMPUTERS & FLUIDS Volume: 66 Pages: 130-139 Published: AUG 15 2012
URI: http://repository.vnu.edu.vn/handle/VNU_123/26680
http://www.sciencedirect.com/science/article/pii/S0045793012002447
ISSN: 0045-7930
1879-0747
Appears in Collections:Bài báo của ĐHQGHN trong Web of Science

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