en Material Managment Material Managment پژوهشي Research <p><font face="times new roman,times,serif"><font size="2"><strong><i> Abstract : </i></strong><i>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. </i></font></font></p><p> <strong><i> </i></strong></p> Keywords: meshless, control volume, Petrov-Galerkin, stream function, vorticity 39 45 http://ijiepr.iust.ac.ir/browse.php?a_code=A-10-1-28&slc_lang=en&sid=1 A. Arefmanesh a_aref32@yahoo.com 18003194753284600344 18003194753284600344 Yes M. Najafi m.njafi36@gmail.com 18003194753284600345 18003194753284600345 No H. Abdi h.abdi@seiau.ir 18003194753284600346 18003194753284600346 No