A method of boundary equations for unsteady hyperbolic problems in 3D

S. Petropavlovsky, S. Tsynkov, E. Turkel

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

Abstract

We propose an efficient algorithm based on boundary operator equations for the numerical simulation of time-dependent waves in 3D. The algorithm employs the method of difference potentials combined with the (strong) Huygens' principle (lacunae of the solution). It can handle nonconforming boundaries on regular structured grids with no loss of accuracy and offers sublinear computational complexity.

Original languageEnglish
Title of host publicationContinuum Mechanics, Applied Mathematics and Scientific Computing
Subtitle of host publicationGodunov's Legacy: A Liber Amicorum to Professor Godunov
PublisherSpringer International Publishing
Pages291-297
Number of pages7
ISBN (Electronic)9783030388706
ISBN (Print)9783030388690
DOIs
StatePublished - 3 Apr 2020

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