期刊
JOURNAL OF COMPUTATIONAL PHYSICS
卷 383, 期 -, 页码 55-71出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2019.01.003
关键词
Runge-Kutta; Artificial compressibility; Optimal; High-order; Flux reconstruction; Pseudo time-stepping
资金
- Natural Sciences and Engineering Research Council of Canada (NSERC) [RGPAS-2017-507988, RGPIN-2017-06773]
- WestGrid
- Engineering and Physical Sciences Research Council
- BAE Systems [EP/K027379/1, EP/R030340/1]
- Compute Canada
- EPSRC [EP/R030340/1, EP/K027379/1] Funding Source: UKRI
In this study we generate optimal Runge-Kutta (RK) schemes for converging the Artificial Compressibility Method (ACM) using dual time-stepping with high-order unstructured spatial discretizations. We present optimal RK schemes with between s = 2 and s = 7 stages for Spectral Difference (SD) and Discontinuous Galerkin (DG) discretizations obtained using the Flux Reconstruction (FR) approach with solution polynomial degrees of k = 1 to k = 8. These schemes are optimal in the context of linear advection with predicted speedup factors in excess of 1.80x relative to a classical RK(4,4 )scheme. Speedup factors of between 1.89x and 2.11 x are then observed for incompressible Implicit Large Eddy Simulation (ILES) of turbulent flow over an SD7003 airfoil. Finally, we demonstrate the utility of the schemes for incompressible ILES of a turbulent jet, achieving good agreement with experimental data. The results demonstrate that the optimized RK schemes are suitable for simulating turbulent flows and can achieve significant speedup factors when converging the ACM using dual time-stepping with high-order unstructured spatial discretizations. (C) 2019 The Author(s). Published by Elsevier Inc.
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