Higher-Order Compact-Flow Field-Dependent Variation (HOC-FDV) method for solving two-dimensional navier-stokes equations

Elfaghi, Abdulhafid M. and Omar, Ashraf Ali and Asrar, Waqar (2015) Higher-Order Compact-Flow Field-Dependent Variation (HOC-FDV) method for solving two-dimensional navier-stokes equations. International Journal for Computational Methods in Engineering Science and Mechanics, 16 (4). pp. 256-263. ISSN 1550-2287

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Abstract

In this article, a new, higher-order accurate method, namely higher-order compact-flow field-dependent variation (HOC-FDV) method, has been developed to solve two-dimensional Navier-Stokes equations. The HOC-FDV scheme is of third-order accuracy in time and fourth-order in space. The spatial derivatives in the flow field-dependent variation (FDV) equations proposed by Chung are approximated using higher-order compact (HOC) Hermitian (Pade) scheme. The solution procedure at each time step consists of a system of block tri-diagonal matrices which can be solved efficiently in a standard manner. Several numerical examples are tested to examine the accuracy and capability of the new scheme to capture the shock and to simulate accurately separation and discontinuity.

Item Type:	Article (Journal)
Additional Information:	4277/50767
Uncontrolled Keywords:	Navier Stokes Equations
Subjects:	T Technology > TJ Mechanical engineering and machinery
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Engineering > Department of Mechanical Engineering
Depositing User:	Prof. Waqar Asrar
Date Deposited:	24 May 2016 13:39
Last Modified:	29 Jan 2018 15:44
URI:	http://irep.iium.edu.my/id/eprint/50767

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