A new fourth-order compact scheme for the Navier-Stokes equations in irregular domains

DOI10.1016/j.camwa.2016.10.020zbMath1397.76092OpenAlexW2553888529MaRDI QIDQ2406735

Dalia Fishelov

Publication date: 6 October 2017

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2016.10.020

zbMATH Keywords

Navier-Stokes equationsvorticitybiharmonic operatorirregular domainsstreamfunction formulationcompact schemes

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite difference methods applied to problems in fluid mechanics (76M20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Related Items (8)

New hybrid compact schemes for structured irregular meshes using Birkhoff polynomial basis ⋮ Numerical simulation of acoustic streaming in standing waves ⋮ A high-order compact scheme for the pure streamfunction (vector potential) formulation of the 3D steady incompressible Navier-Stokes equations ⋮ An upwind compact difference scheme for solving the streamfunction-velocity formulation of the unsteady incompressible Navier-Stokes equation ⋮ Compact high order accurate schemes for the three dimensional wave equation ⋮ A Cartesian compact scheme for the Navier-Stokes equations in streamfunction formulation in irregular domains ⋮ High-order compact difference schemes on wide computational stencils with a spectral-like accuracy ⋮ A less time-consuming upwind compact difference method with adjusted dissipation property for solving the unsteady incompressible Navier-Stokes equations

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