A Meshless Method for Advection-Diffusion Problems

Abstract:

This paper formulates a radial basis function meshless method for the numerical simulation of the advection-diffusion problems. The spatial derivatives are approximated by RBF collocation technique whereas the temporal derivatives are discretized using the Crank-Nicholson method. Corresponding boundary conditions are enforced analytically at a discrete set of boundary nodes. The performances of the present method are demonstrated through their application to an advection-diffusion problem.

• Periodical: Advanced Materials Research (Volumes 860-863)
• Pages: 1594-1599
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.860-863.1594
• Online since: December 2013
• Authors: Dang Qin Xue, Huan Ping Zhao, Jia Xi Zhang, Shu Lin Hou
• Keywords: Advection Diffusion Equation, Collocation, Meshless Method, Radial Basis Function (RBF)

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