MLPG method for convection-dominated flow problems
by Xue-Hong Wu; Zhi-Juan Chang; Wen-Quan Tao; Zeng-Yao Li; Sheng-Ping Shen
Progress in Computational Fluid Dynamics, An International Journal (PCFD), Vol. 12, No. 1, 2012

Abstract: In this paper, the Meshless Local Petrov-Galerkin (MLPG) method is applied to compute convection-dominated flow problems. The results of the MLPG method are compared with the results of the finite volume method. The results show that the first-order upwind (FUD) scheme exhibits the false diffusion at a larger-Peclet number; the QUICK scheme and the MLPG method can obtain much closed solutions; but they have small overshoots produced at larger-Peclet number. The results also indicate that the MLPG method is a highly effective and accurate numerical method to deal with convection-dominated flow problems and can eliminate the effect of the false diffusion.

Online publication date: Tue, 25-Nov-2014

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