期刊
ADVANCES IN APPLIED MATHEMATICS AND MECHANICS
卷 13, 期 2, 页码 455-466出版社
GLOBAL SCIENCE PRESS
DOI: 10.4208/aamm.OA-2019-0103
关键词
LMAPS; convection dominated problems; upwind scheme; radial basis functions
资金
- fundamental research funds for the central universities
- Jiangsu Overseas Visiting Scholar Program for University Prominent Young & Middle-aged Teachers and Presidents
A novel upwind technique is proposed for solving convection-diffusion equations using the localized method of approximate particular solutions (LMAPS). The proposed upwind LMAPS scheme is demonstrated to be more accurate and efficient than conventional LMAPS in generating solutions for a variety of convection-diffusion equations.
A novel upwind technique for the localized method of approximate particular solutions (LMAPS) is proposed to solve the convection-diffusion equations. An upwind approximation to the convective terms is implemented by choosing upwind interpolation stencils while the central interpolation stencils are used for the diffusive terms. The proposed upwind LMAPS scheme is also been compared with conventional LMAPS without upwind technique, to demonstrate its superiority in generating high accurate solutions than the latter. Numerical results show that the proposed upwind LMAPS has high accuracy and efficiency for a variety of convection-diffusion equations.
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