Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6931470 | Journal of Computational Physics | 2015 | 17 Pages |
Abstract
We show how to construct a time-dependent SAT formulation that automatically imposes boundary conditions, when and where they are required. We also prove that a uniform flow field is preserved, i.e. the Numerical Geometric Conservation Law (NGCL) holds automatically by using SBP-SAT in time and space. The developed technique is illustrated by considering an application using the linearized Euler equations: the sound generated by moving boundaries. Numerical calculations corroborate the stability and accuracy of the new fully discrete approximations.
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Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Samira Nikkar, Jan Nordström,