High order semi-Lagrangian methods for the incompressible Navier-Stokes equations

DOI10.1007/S10915-015-0015-6zbMATH Open1375.76034arXiv1207.5147OpenAlexW3103173656MaRDI QIDQ283291

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Publication date: 13 May 2016

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Abstract: We propose a class of semi-Lagrangian methods of high approximation order in space and time, based on spectral element space discretizations and exponential integrators of Runge-Kutta type. We discuss the extension of these methods to the Navier-Stokes equations, and their implementation using projections. Semi-Lagrangian methods up to order three are implemented and tested on various examples. The good performance of the methods for convection-dominated problems is demonstrated with numerical experiments.

Full work available at URL: https://arxiv.org/abs/1207.5147

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