Journal
JOURNAL OF COMPUTATIONAL PHYSICS
Volume 361, Issue -, Pages 199-230Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2018.01.049
Keywords
Finite difference; Summation-by-parts; High order; Stability; Overlapping grid; Interface treatment
Funding
- NASA [NNX12AJ65A]
- Department of Energy, National Nuclear Security Administration [DE-NA0002374]
- National Science Foundation XSEDE [TG-CTS090004]
- NASA [43408, NNX12AJ65A] Funding Source: Federal RePORTER
Ask authors/readers for more resources
A provably time-stable method for solving hyperbolic partial differential equations arising in fluid dynamics on overset grids is presented in this paper. The method uses interface treatments based on the simultaneous approximation term (SAT) penalty method and derivative approximations that satisfy the summation-by-parts (SBP) property. Time-stability is proven using energy arguments in a norm that naturally relaxes to the standard diagonal norm when the overlap reduces to a traditional multiblock arrangement. The proposed overset interface closures are time-stable for arbitrary overlap arrangements. The information between grids is transferred using Lagrangian interpolation applied to the incoming characteristics, although other interpolation schemes could also be used. The conservation properties of the method are analyzed. Several one-, two-, and three-dimensional, linear and non-linear numerical examples are presented to confirm the stability and accuracy of the method. A performance comparison between the proposed SAT-based interface treatment and the commonly-used approach of injecting the interpolated data onto each grid is performed to highlight the efficacy of the SAT method. (C) 2018 Elsevier Inc. All rights reserved.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available