Constructing non-reflecting boundary conditions using summation-by-parts in time

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• 作者：Hannes Frenander ; ^{hannes.frenander@liu.se} ; Jan Nordströ ; m ^{jan.nordstrom@liu.se}
• 关键词：Non-reflecting boundary conditions ; Summation-by-parts ; Simultaneous approximation terms ; Finite differences ; Stability ; Accuracy
• 刊名：Journal of Computational Physics
• 出版年：2017
• 出版时间：15 February 2017
• 年：2017
• 卷：331
• 期：Complete
• 页码：38-48
• 全文大小：735 K
• 卷排序：331

文摘

In this paper we provide a new approach for constructing non-reflecting boundary conditions. The boundary conditions are based on summation-by-parts operators and derived without Laplace transformation in time. We prove that the new non-reflecting boundary conditions yield a well-posed problem and that the corresponding numerical approximation is unconditionally stable. The analysis is demonstrated on a hyperbolic system in two space dimensions, and the theoretical results are confirmed by numerical experiments.