Improving the pressure accuracy in a projection scheme for incompressible fluids with variable viscosity

DOI10.1016/j.aml.2017.12.004zbMath1459.76078OpenAlexW2774026033MaRDI QIDQ1996389

Driss Yakoubi, Jean Deteix

Publication date: 4 March 2021

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2017.12.004

zbMATH Keywords

Navier-Stokes equationsfinite element methodprojection fractional step methodheterogeneous viscosity

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite difference methods applied to problems in fluid mechanics (76M20) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (9)

A spectral deferred correction method for incompressible flow with variable viscosity ⋮ A new energy stable fractional time stepping scheme for the Navier-Stokes/Allen-Cahn diffuse interface model ⋮ A stabilized fractional-step finite element method for the time-dependent Navier-Stokes equations ⋮ Enhancing the viscosity-splitting method to solve the time-dependent Navier-Stokes equations ⋮ Error estimates for a viscosity-splitting scheme in time applied to non-Newtonian fluid flows ⋮ An efficient split-step framework for non-Newtonian incompressible flow problems with consistent pressure boundary conditions ⋮ Shear rate projection schemes for non-Newtonian fluids ⋮ A projection scheme for phase change problems with convection ⋮ Consistent pressure Poisson splitting methods for incompressible multi-phase flows: eliminating numerical boundary layers and inf-sup compatibility restrictions

Uses Software

• FreeFem++

Cites Work

• Unnamed Item
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• Structure of the set of stationary solutions of the navier‐stokes equations
• On the error estimates for the rotational pressure-correction projection methods
• New development in freefem++
• Numerical Solution of the Navier-Stokes Equations
• AN APPROXIMATE PROJECTION SCHEME FOR INCOMPRESSIBLE FLOW USING SPECTRAL ELEMENTS
• Error Analysis of Pressure-Correction Schemes for the Time-Dependent Stokes Equations with Open Boundary Conditions

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