Finite difference approximations of multidimensional convection-diffusion-reaction problems with small diffusion on a special grid
作者： Adem Kaya , Ali Sendur
DOI: 10.1016/J.JCP.2015.08.007
关键词: Applied mathematics 、 Finite difference method 、 Singular perturbation 、 Finite difference coefficient 、 Diffusion (business) 、 Finite element method 、 Grid 、 Mathematical analysis 、 Convection–diffusion equation 、 Finite difference 、 Mathematics
摘要: A numerical scheme for the convection-diffusion-reaction (CDR) problems is studied herein. We propose a finite difference method on special grid solving CDR particularly designed to treat most interesting case of small diffusion. use subgrid nodes in Link-cutting bubble (LCB) strategy 5 construct algorithm that can easily be extended higher dimensions. The adapts very well all regimes with continuous transitions from one regime another. also compare performance present Streamline-upwind Petrov-Galerkin (SUPG) and Residual-Free Bubbles (RFB) methods several benchmark problems. experiments confirm good proposed method.
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