A meshless method is used in a projection-based approach to solve the primitive equations for fluid flow with heat transfer. The method is easy to implement in a matlab format. Radial basis functions are used to solve two benchmark test cases: natural convection in a square enclosure and flow with forced convection over a backward facing step. The results are compared with two popular and widely used commercial codes: comsol, a finite element-based model, and fluent, a finite volume-based model.
A Meshless Method for Modeling Convective Heat Transfer
Manuscript received October 19, 2010; final manuscript received July 7, 2012; published online December 6, 2012. Assoc. Editor: Akshai Runchal.
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Pepper, D. W., Wang, X., and Carrington, D. B. (December 6, 2012). "A Meshless Method for Modeling Convective Heat Transfer." ASME. J. Heat Transfer. January 2013; 135(1): 011003. https://doi.org/10.1115/1.4007650
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