A High Order Compact-Flowfield Dependent Variation (HOC-FDV) method for inviscid flows

Elfaghi, A. M. and Asrar, W. and Omar, A. A. (2010) A High Order Compact-Flowfield Dependent Variation (HOC-FDV) method for inviscid flows. International Journal for Computational Methods in Engineering Science and Mechanics, 11. pp. 258-263. ISSN 1550-2287

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Abstract

In this paper, a single high-order compact flowfield-dependent variation (HOC-FDV) method is developed, valid for two�dimensional inviscid compressible as well as incompressible flow problems. The method has third-order accuracy in time and fourth�order accuracy in space. The FDV scheme is used for time dis�cretization and the fourth-order compact Pade scheme is used for spatial derivatives. The solution procedure consists of a number of tri-diagonal matrix operations and produces an accurate solver. Numerical examples are solved to demonstrate the accuracy and convergence characteristics of the high-resolution scheme. The test cases are flow over a compression corner, a channel flow with com�pression/expansion, and a flow past NACA 0012 airfoil. The numer�ical results show an excellent agreement with analytical and pub�lished numerical results and they clearly demonstrate the higher accuracy of a single HOC-FDV scheme for both incompressible and compressible flows.

Item Type: Article
Uncontrolled Keywords: Flowfield-dependent variation (FDV); higher-order compact (HOC); inviscid flows; Euler equations; incompressible flows; supersonic flows
Subjects: T Technology > T Technology (General)
Depositing User: Mr. Abdul Rahim Mat Radzuan
Date Deposited: 08 Jun 2022 02:11
Last Modified: 08 Jun 2022 02:11
URI: http://eprints.uthm.edu.my/id/eprint/7129

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