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Journal Article
ERROR ANALYSIS OF THE SAV-MAC SCHEME FOR THE NAVIER–STOKES EQUATIONS
2020
Overview
An efficient numerical scheme based on the scalar auxiliary variable (SAV) and marker and cell (MAC) scheme is constructed for the Navier–Stokes equations. A particular feature of the scheme is that the nonlinear term is treated explicitly while being unconditionally energy stable. A rigorous error analysis is carried out to show that both velocity and pressure approximations are second-order accurate in time and space. Numerical experiments are presented to verify the theoretical results.
Publisher
Society for Industrial and Applied Mathematics
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