DOI: 10.5176/2251-1911_CMCGS16.6
Authors: Siaw Ching Liew, Su Hoe Yeak and Munira Bt. Ismail
Abstract: In this paper, a modified variational multiscale method coupling with the adaptive element free Galerkin method (EFGM) is first time developed here. The proposed new method takes full advantages of meshfree methods since no mesh regeneration is needed. So, particles can easily be added without any complications in the data structure with the adaptive refinement procedure. Here, modified variational multiscale method combines with EFGM with adaptive procedure in order to produce a more accurate results especially for high gradient problems. The refinement procedure in this paper will automatically insert additional nodes into high gradient regions. The development of this modified variational multiscale method is shown in this paper as well as the refinement strategy. The performance of this new method is presented by solving two dimensional large localized gradients problem and validated with available analytic solutions. Numerical results indicated that this proposed new method is able to obtain a more accurate results compared with the standard element free Galerkin method.
Keywords: modified variational multiscale method; adaptive element free Galerkin method; high gradient problems
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