Flowfield dependent variation method for one dimensional stationary and moving boundary problems

Zulkifli, Mohammad and Omar, Ashraf Ali and Asrar, Waqar (2015) Flowfield dependent variation method for one dimensional stationary and moving boundary problems. International Journal of Computational Science and Engineering, 10 (1/2). pp. 130-144. ISSN 1742-7193 (O), 1742-7185 (P)

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Abstract

Abstract: Complex fluid problems arise during fluid-structure interactions and pose a major challenge in the development of a stable generic numerical approach. Owing to the robustness of flowfield dependent variation (FDV) method in dealing with complex flow interactions, a new numerical procedure using the FDV method coupled with arbitrary Lagrangian-Eulerian (ALE) technique is developed. The combination of FDV and ALE method is discretised using finite volume method in order to give flexibility in dealing with complicated geometries. The formulation itself yields block tridiagonal matrix for one-dimensional formulation, which can then be solved using a relatively simple block lower-upper decomposition method. One-dimensional inviscid flows for stationary and moving boundary problems are solved using the proposed method. Stability criterion for stationary boundary problems has been derived. The method is found to be conditionally stable and its stability is dependent on the FDV parameters. Several numerical tests have been conducted and the results show good agreement with exact and available numerical solutions in the literature.

Item Type:	Article (Journal)
Additional Information:	4277/41081
Uncontrolled Keywords:	flowfield dependent variation; FDV; arbitrary Lagrangian-Eulerian; ALE; moving and stationary boundary problems
Subjects:	Q Science > QA Mathematics > QA76 Computer software T Technology > TL Motor vehicles. Aeronautics. Astronautics > TL500 Aeronautics
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:	05 Mar 2015 10:13
Last Modified:	29 Oct 2015 10:44
URI:	http://irep.iium.edu.my/id/eprint/41081

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