Interface procedures for finite difference approximations of the advection–diffusion equation

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摘要

We investigate several existing interface procedures for finite difference methods applied to advection–diffusion problems. The accuracy, stiffness and reflecting properties of various interface procedures are investigated.The analysis and numerical experiments show that there are only minor differences between various methods once a proper parameter choice has been made.

论文关键词:High order finite difference methods,Numerical stability,Accuracy,Interface conditions,Summation-by-parts,Weak boundary conditions

论文评审过程:Available online 22 August 2011.

论文官网地址:https://doi.org/10.1016/j.cam.2011.08.009