Paper Information

Journal:   INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE (ENGLISH)   2007 , Volume 18 , Number 3-4; Page(s) 39 To 45.
 
Paper: 

MESHLESS LOCAL PETROV-GALERKIN METHOD-STEADY, NON-ISOTHERMAL FLUID FLOW APPLICATIONS

 
 
Author(s):  AREF MANESH A., NAJAFI M., ABDI H.
 
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Abstract: 

The meshless local Petrov-Galerkin method with unity as the weighting function has been applied to the solution of the Navier-Stokes and energy equations. The Navier-Stokes equations in terms of the stream function and vorticity formulation together with the energy equation are solved for a driven cavity flow for moderate Reynolds numbers using different point distributions. The L2-norm of the error as a function of the size of the control volumes is presented for different cases; and the rate of convergence of the method is established. The results of this study show that the proposed method is applicable in solving a variety of non-isothermal fluid flow problems.

 
Keyword(s): MESHLESS, CONTROL VOLUME, PETROV-GALERKIN, STREAM FUNCTION, VORTICITY
 
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