An upwind compact difference scheme for solving the streamfunction-velocity formulation of the unsteady incompressible Navier-Stokes equation

DOI10.1016/j.camwa.2018.01.043zbMath1409.76093OpenAlexW2791968528MaRDI QIDQ1732535

P. X. Yu, Zhen F. Tian

Publication date: 25 March 2019

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2018.01.043

zbMATH Keywords

Navier-Stokes equationsincompressible flowstreamfunction-velocity formulationupwind compact schemeunconditional stable

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) 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)

Related Items (10)

Numerical simulation for 2D double-diffusive convection (DDC) in rectangular enclosures based on a high resolution upwind compact streamfunction model. I: Numerical method and code validation ⋮ A new all-speed flux scheme for the Euler equations ⋮ High-order upwind compact finite-difference lattice Boltzmann method for viscous incompressible flows ⋮ A parallel high-order compact scheme for the pure streamfunction formulation of the 3D unsteady incompressible Navier-Stokes equation ⋮ A novel parallel computing strategy for compact difference schemes with consistent accuracy and dispersion ⋮ Solving steady-state lid-driven square cavity flows at high Reynolds numbers via a coupled improved element-free Galerkin-reduced integration penalty method ⋮ Effect of time integration scheme in the numerical approximation of thermally coupled problems: from first to third order ⋮ Numerical investigation of double-diffusive convection in rectangular cavities with different aspect ratio. I: High-accuracy numerical method ⋮ 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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