Compact higher order discretization of 3D generalized convection diffusion equation with variable coefficients in nonuniform grids
作者：
Highlights：
• A new HOC discretization for the 3D generalized convection-diffusion equation on nonuniform grid is proposed.
• The method is found suitable for nonlinear problems and report fourth order of convergence in uniform grid.
• The scheme is independent of any coordinate transformation.
• It uses a nineteen-point stencil in presence of mixed derivative terms.
• Emphasis is laid on problems with steep boundary layers.
摘要
•A new HOC discretization for the 3D generalized convection-diffusion equation on nonuniform grid is proposed.•The method is found suitable for nonlinear problems and report fourth order of convergence in uniform grid.•The scheme is independent of any coordinate transformation.•It uses a nineteen-point stencil in presence of mixed derivative terms.•Emphasis is laid on problems with steep boundary layers.
论文关键词：Convection-diffusion,3D,Nonuniform grid,Boundary layer,Singularly perturbed
论文评审过程：Received 5 October 2020, Revised 17 May 2021, Accepted 3 September 2021, Available online 20 September 2021, Version of Record 20 September 2021.
论文官网地址：https://doi.org/10.1016/j.amc.2021.126652
