Higher-order semi compact scheme to solve transient incompressible Navier-Stokes equations

DOI10.1007/s00466-004-0633-6zbMath1096.76034OpenAlexW2055164326MaRDI QIDQ2501920

Y. V. S. S. Sanyasiraju, V. Manjula

Publication date: 12 September 2006

Published in: Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00466-004-0633-6

zbMATH Keywords

curvilinear coordinatesnon-regular domains

Mathematics Subject Classification ID

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

Related Items (11)

Triggering asymmetry for flow past circular cylinder at low Reynolds numbers ⋮ Numerical performance of higher-order semicompact scheme for arbitrary triangular cavity flow ⋮ A higher order compact finite difference algorithm for solving the incompressible Navier-Stokes equations ⋮ A transformation-free HOC scheme for incompressible viscous flows past an impulsively started circular cylinder ⋮ A transient higher order compact scheme for incompressible viscous flows on geometries beyond rectangular ⋮ Fourth-order semi-compact scheme for flow past a rotating and translating cylinder ⋮ A compact scheme for the streamfunction-velocity formulation of the 2D steady incompressible Navier-Stokes equations in polar coordinaes ⋮ A modified compact numerical algorithm to solve 2D Navier-Stokes equation ⋮ Numerical solution of advection-diffusion equation using a sixth-order compact finite difference method ⋮ An efficient higher order compact scheme to capture heat transfer solutions in spherical geometry ⋮ A 4OEC scheme for the biharmonic steady Navier-Stokes equations in non-rectangular domains

Cites Work

• Compact high-order schemes for the Euler equations
• A numerical resolution study of high order essentially non-oscillatory schemes applied to incompressible flow
• Compact \(h^ 4\) finite-difference approximations to operators of Navier- Stokes type
• High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method
• Essentially compact schemes for unsteady viscous incompressible flows
• Extension of high-order compact schemes to time-dependent problems
• A new third-order finite-difference method for transient one-dimensional advection—diffusion
• A compact unconditionally stable finite-difference method for transient one-dimensional advection-diffusion
• Numerical solution of incompressible flows by discrete singular convolution
• A compact fourth‐order finite difference scheme for the steady incompressible Navier‐Stokes equations
• High‐order compact scheme for the steady stream‐function vorticity equations
• High accuracy solutions of incompressible Navier-Stokes equations

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