Accurate compact flowfield-dependent variation method for compressible Euler equations

Elfaghi, Abdulhafid M. and Asrar, Waqar and Omar, Ashraf Ali E. (2009) Accurate compact flowfield-dependent variation method for compressible Euler equations. In: International Conference on Applications and Design in Mechanical Engineering 2009 (iCADME 2009), 11 - 13 October 2009, Penang, Malaysia.

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Abstract

Numerical simulations of compressible inviscid flows using fully implicit high order compact flowfielddependent variation (HOC-FDV) method has been developed. The third-order accurate in time flowfield-dependent variation (FDV) scheme is used for time discritization and the fourthorder compact Pade scheme is used to approximate the first and second spatial derivatives. The solution procedure consists of a number of tri-diagonal matrix operations with considerable saving in computing time, and produces an efficient solver. The method has been tested and verified for two numerical examples, a flow over a channel flow with compression/expansion and a flow past NACA0012 airfoil. Good agreement with the analytical and other numerical solutions has been obtained in both cases. Numerical results show the validity and accuracy of the proposed method.

Item Type:	Proceeding Paper (Full Paper)
Additional Information:	4277/1290 (Proceeding of International Conference on Applications and Design in Mechanical Engineering 2009)
Uncontrolled Keywords:	Flowfield-dependent variation (FDV), Higher-order compact (HOC), Inviscid flows, Euler equations, Supersonic flow
Subjects:	T Technology > TJ Mechanical engineering and machinery
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Engineering Kulliyyah of Engineering > Department of Mechanical Engineering
Depositing User:	Ms Zati Atiqah Mohamad Tanuri
Date Deposited:	04 Aug 2011 12:13
Last Modified:	04 Oct 2011 11:15
URI:	http://irep.iium.edu.my/id/eprint/1290

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