Absorbing boundary conditions for the numerical simulation of waves
Björn Engquist,Andrew J. Majda +1 more
TL;DR: This work develops a systematic method for obtaining a hierarchy of local boundary conditions at these artifical boundaries that not only guarantee stable difference approximations, but also minimize the (unphysical) artificial reflections that occur at the boundaries.
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Abstract: In practical calculations, it is often essential to introduce artificial boundaries to limit the area of computation. Here we develop a systematic method for obtaining a hierarchy of local boundary conditions at these artifical boundaries. These boundary conditions not only guarantee stable difference approximations, but also minimize the (unphysical) artificial reflections that occur at the boundaries.
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References
A Simple Boundary Condition for Unbounded Hyperbolic Flows
TL;DR: In this article, a Sommerfeld radiation condition (2.2) was proposed for problems requiring a prescribed open boundary, and two severe tests were used to demonstrate the applicability of the open boundary condition: collapsing bubble, a dynamic event which excites many different internal gravity waves.
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A nonreflecting plane boundary for wave propagation problems
TL;DR: In this article, the Dirichlet and Neumann conditions are applied to alternate components at the boundary of a model to eliminate reflections from the boundary by adding together the solutions of the Dirichelet and NN problems.
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Differentiability of solutions to hyperbolic initial-boundary value problems
Jeffrey Rauch,Frank J. Massey +1 more
TL;DR: In this article, conditions for the differentiability of solutions to mixed problems for first order hyperbolic systems of the form (3/3» 2 Aja/dxj ) were established.
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