A note on helicity conservation in Leray models of incompressible flow

We consider the stability of an efficient Crank-Nicolson-Adams-Bashforth method in time, finite element in space, discretization of the Leray-α model. We prove finite-time stability of the scheme in L 2 , H 1 , and H 2 , as well as the long-time L-stability of the scheme under a Courant-Freidrichs-Lewy (CFL)-type condition. Numerical experiments are given that are in agreement with the theoretical results.

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Stability of the Crank–Nicolson–Adams–Bashforth scheme for the 2D Leray‐alpha model

Hernandez

Rebholz

Tone

et al. 2015

Numerical Methods Partial

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A note on helicity conservation in Leray models of incompressible flow

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References 25 publications

Stability of the Crank–Nicolson–Adams–Bashforth scheme for the 2D Leray‐alpha model

Stability of the Crank–Nicolson–Adams–Bashforth scheme for the 2D Leray‐alpha model

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