Duchemin, Laurent

Eggers, Jens G

Eggers, Jens

HAL AMU

The Explicit-Implicit-Null method: Removing the numerical instability of PDEs

A general method to remove the numerical instability of partial differential equations is presented. Two equal terms are added to and subtracted from the right-hand side of the PDE: the first is a damping term and is treated implicitly, the second is treated explicitly. A criterion for absolute stability is found and the scheme is shown to be convergent. The method is applied with success to the mean curvature flow equation, the Kuramoto-Sivashinsky equation, and to the Rayleigh-Taylor instability in a Hele-Shaw cell, including the effect of surface tension.</p

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The Explicit-Implicit-Null method:Removing the numerical instability of PDEs

https://hal.archives-ouvertes.fr/hal-01315581

The Explicit-Implicit-Null method:Removing the numerical instability of PDEs

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