On the robustness and performance of entropy stable discontinuous collocation methods for the compressible Navier-Stokes equations
Abstract
In computational fluid dynamics, the demand for increasingly multidisciplinary reliable simulations, for both analysis and design optimization purposes, requires transformational advances in individual components of future solvers. At the algorithmic level, hardware compatibility and efficiency are of paramount importance in determining viability at exascale and beyond. However, equally important (if not more so) is algorithmic robustness with minimal user intervention, which becomes progressively more challenging to achieve as problem size and physics complexity increase. We numerically show that low and high order entropy stable discontinuous spatial discretizations based on summation-by-part operators and simultaneous-approximation-terms technique provides an essential step toward a truly enabling technology in terms of reliability and robustness for both under-resolved turbulent flow simulations and flows with discontinuities.
Keywords
Cite
@article{arxiv.1911.10966,
title = {On the robustness and performance of entropy stable discontinuous collocation methods for the compressible Navier-Stokes equations},
author = {Diego Rojas and Radouan Boukharfane and Lisandro Dalcin and David C. Del Rey Fernandez and Hendrik Ranocha and David E. Keyes and Matteo Parsani},
journal= {arXiv preprint arXiv:1911.10966},
year = {2020}
}
Comments
39 pages. arXiv admin note: substantial text overlap with arXiv:1911.03682 and text overlap with arXiv:1905.03007 by other authors