Is the CFL Condition Sufficient? Some Remarks

Kai Schneider (), Dmitry Kolomenskiy and Erwan Deriaz
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Kai Schneider: M2P2–CNRS, Aix-Marseille Université
Dmitry Kolomenskiy: M2P2–CNRS, Aix-Marseille Université
Erwan Deriaz: M2P2–CNRS, Aix-Marseille Université

A chapter in The Courant–Friedrichs–Lewy (CFL) Condition, 2013, pp 139-146 from Springer

Abstract: Abstract We present some remarks about the CFL condition for explicit time discretization methods of Adams–Bashforth and Runge–Kutta type and show that for convection-dominated problems stability conditions of the type Δt≤CΔx α are found for high order space discretizations, where the exponent α depends on the order of the time scheme. For example, for second order Adams–Bashforth and Runge–Kutta schemes we find α=4/3.

Keywords: Explicit time discretization; Stability; CFL condition; Runge–Kutta; Adams–Bashforts; Computational fluid dynamics; Convection dominated problems (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-0-8176-8394-8_9

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DOI: 10.1007/978-0-8176-8394-8_9

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