A fully implicit method for fluid flow based on vectorial operator splitting

Authors:
Rossitza S. Marinova;Raymond Spiteri;Eddy Essien
Affiliations:
Department of Mathematical and Computing Sciences, Concordia University College of Alberta, Edmonton, AB, Canada;Department of Computer Science, University of Saskatchewan, Saskatoon, SK, Canada;Department of Mathematical and Computing Sciences, Concordia University College of Alberta, Edmonton, AB, Canada
Venue:
LSSC'09 Proceedings of the 7th international conference on Large-Scale Scientific Computing
Year:
2009

Citing 4
Cited 0

Mixed and hybrid finite element methods

Mixed and hybrid finite element methods
Fully conservative higher order finite difference schemes for incompressible flow

Journal of Computational Physics
Computer Methods for Ordinary Differential Equations and Differential-Algebraic Equations

Computer Methods for Ordinary Differential Equations and Differential-Algebraic Equations
Conservation properties of vectorial operator splitting

Journal of Computational and Applied Mathematics - Proceedings of the international conference on recent advances in computational mathematics

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Abstract

A fully implicit finite difference method for the incompressible Navier–Stokes equations is presented that conserves mass, momentum, the square of velocity components, and, in the inviscid limit, kinetic energy The method uses a staggered arrangement of velocity and pressure on a structured Cartesian grid and retains its conservation properties for both uniform and non-uniform grids The convergence properties of the method are confirmed via numerical experiments.