Error analysis of a new fractional-step method for the incompressible Navier-Stokes equations with variable density

DOI10.1007/s10915-020-01253-6zbMath1450.65115OpenAlexW3035827092MaRDI QIDQ785554

Rong An

Publication date: 7 August 2020

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-020-01253-6

zbMATH Keywords

stabilityNavier-Stokes equationsfinite element methodconvergence ratefractional-step methodvariable density flows

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite difference methods applied to problems in fluid mechanics (76M20) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

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Uses Software

• FreeFem++

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