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Multirate Runge–Kutta schemes for advection equations

✍ Scribed by Martin Schlegel; Oswald Knoth; Martin Arnold; Ralf Wolke

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
905 KB
Volume
226
Category
Article
ISSN
0377-0427

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✦ Synopsis

a b s t r a c t Explicit time integration methods can be employed to simulate a broad spectrum of physical phenomena. The wide range of scales encountered lead to the problem that the fastest cell of the simulation dictates the global time step. Multirate time integration methods can be employed to alter the time step locally so that slower components take longer and fewer time steps, resulting in a moderate to substantial reduction of the computational cost, depending on the scenario to simulate [S. Osher, R. Sanders, Numerical approximations to nonlinear conservation laws with locally varying time and space grids, Math.

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