The mass-preserving and modified-upwind splitting DDM scheme for time-dependent convection–diffusion equations

作者：

Highlights：

• We propose a new mass-preserving and modified upwind splitting DDM scheme in 2D.

• The solution and flux coupled scheme is to preserve mass over multi-subdomains.

• The developed scheme is mass conservative and unconditionally stable.

• It is of first order convergence in time step and second-order convergence in space.

摘要

•We propose a new mass-preserving and modified upwind splitting DDM scheme in 2D.•The solution and flux coupled scheme is to preserve mass over multi-subdomains.•The developed scheme is mass conservative and unconditionally stable.•It is of first order convergence in time step and second-order convergence in space.

论文关键词：65N06,65N12,65M06,65Y05,76R05,Convection–diffusion equations,Mass-preserving,S-DDM,Modified-upwind,Multi-block,Unconditional stability

论文评审过程：Received 6 November 2015, Revised 3 September 2016, Available online 2 December 2016, Version of Record 26 December 2016.

论文官网地址：https://doi.org/10.1016/j.cam.2016.10.031