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

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

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Official URL: https://doi.org/ 10.1080/15502287.2015.1048386

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 accu�racy 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) Her�mitian (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 exam�ples 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
Uncontrolled Keywords:	Navier stokes equations; flow field-dependent variation method (FDV); Higher-Order Compact Schemes (HOC); shock capturing; viscous flow
Subjects:	T Technology > T Technology (General)
Depositing User:	Mr. Abdul Rahim Mat Radzuan
Date Deposited:	08 Jun 2022 02:12
Last Modified:	08 Jun 2022 02:12
URI:	http://eprints.uthm.edu.my/id/eprint/7130

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