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Optimal Runge-Kutta Schemes for Pseudo Time-Stepping with High-Order Unstructured Methods
Journal of Computational Physics
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 lineardoi:10.1016/j.jcp.2019.01.003 fatcat:nsac72zcqng6fi47ab6a2jk33e