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Article Dans Une Revue Computers and Fluids Année : 2006

Low-dissipation and low-dispersion fourth-order Runge–Kutta algorithm

Résumé

An optimized explicit low-storage fourth-order Runge-Kutta algorithm is proposed in the present work for time integration. Dispersion and dissipation of the scheme are minimized in the Fourier space over a large range of frequencies for linear operators while enforcing a wide stability range. The scheme remains of order four with nonlinear operators thanks to the low-storage algorithm. Linear and nonlinear propagation problems are finally solved to illustrate the accuracy of the present Runge-Kutta scheme.

Dates et versions

hal-02342209 , version 1 (04-11-2019)

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Julien Berland, Christophe Bogey, Christophe Bailly. Low-dissipation and low-dispersion fourth-order Runge–Kutta algorithm. Computers and Fluids, 2006, 35 (10), pp.1459-1463. ⟨10.1016/j.compfluid.2005.04.003⟩. ⟨hal-02342209⟩
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