Convergence analysis on computation of coupled advection-diffusion-reaction problems

作者:

Highlights:

• Analysis on the convergence of computation of two coupled advection-diffusionreaction equations is analyzed.

• Convergence is achieved with two iterations when marching from current to the next time level if an optimized interface condition is adopted.

• The analysis is extended to equations with nonlinear advection and/or reaction terms, and the conclusions remain largely valid.

摘要

•Analysis on the convergence of computation of two coupled advection-diffusionreaction equations is analyzed.•Convergence is achieved with two iterations when marching from current to the next time level if an optimized interface condition is adopted.•The analysis is extended to equations with nonlinear advection and/or reaction terms, and the conclusions remain largely valid.

论文关键词:Domain decomposition,Advection-diffusion-reaction equation,The viscous Burgers equation,Scarborough criterion,Optimized interface condition

论文评审过程:Received 31 March 2021, Revised 21 October 2021, Accepted 14 December 2021, Available online 8 January 2022, Version of Record 8 January 2022.

论文官网地址:https://doi.org/10.1016/j.amc.2021.126876