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Optimal embedded pair Runge-Kutta schemes for pseudo-time stepping. (English) Zbl 1440.76086


MSC:

76M10 Finite element methods applied to problems in fluid mechanics

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References:

[1] Chorin, A., A numerical method for solving incompressible viscous flow problems, J. Comput. Phys., 135, 118-125 (1997) · Zbl 0899.76283
[2] Loppi, N.; Witherden, F.; Jameson, A.; Vincent, P., A high-order cross-platform incompressible Navier-Stokes solver via artificial compressibility with application to a turbulent jet, Comput. Phys. Commun., 233, 193-205 (2018) · Zbl 07694822
[3] Loppi, N.; Witherden, F.; Jameson, A.; Vincent, P., Locally adaptive pseudo-time stepping for high-order flux reconstruction, J. Comput. Phys., 399, Article 108913 pp. (2019) · Zbl 1453.65335
[4] Huynh, H., A flux reconstruction approach to high-order schemes including discontinuous Galerkin methods, (18th AIAA Computational Fluid Dynamics Conference (2007)), 4079
[5] Ketcheson, D.; Ahmidia, A., Optimal stability polynomials for numerical integration of initial value problems, Commun. Appl. Math. Comput. Sci., 7, 247-271 (2012) · Zbl 1259.65114
[6] Parsani, M.; Ketcheson, D.; Deconinck, W., Optimized explicit Runge-Kutta schemes for the spectral difference method applied to wave propagation problems, SIAM J. Sci. Comput., 35, 957-986 (2013) · Zbl 1266.65157
[7] Vermeire, B.; Loppi, N.; Vincent, P., Optimal Runge-Kutta schemes for pseudo time-stepping with high-order unstructured methods, J. Comput. Phys., 383, 55-71 (2019) · Zbl 1451.65112
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