On conservation and stability properties for summation-by-parts schemes

JOURNAL OF COMPUTATIONAL PHYSICS

卷:344

Article

Nordstrom, Jan¹  Ruggiu, Andrea A.¹ 

[1] Linkoping Univ, Dept Math, Computat Math, SE-58183 Linkoping, Sweden

关键词: Hyperbolic problems;    Summation-by-parts;    Boundary conditions;    Interface conditions;    Stability;    Conservation;   

DOI  :  10.1016/j.jcp.2017.05.002

来源: Elsevier

【 摘 要 】

We discuss conservative and stable numerical approximations in summation-by-parts form for linear hyperbolic problems with variable coefficients. An extended setting, where the boundary or interface may or may not be included in the grid, is considered. We prove that conservative and stable formulations for variable coefficient problems require a boundary and interface conforming grid and exact numerical mimicking of integration-by-parts. Finally, we comment on how the conclusions from the linear analysis carry over to the nonlinear setting. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free