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Journal of Scientific Computing
Erschienen in: Journal of Scientific Computing 1/2018

01.09.2017

Energy Stability Analysis of Some Fully Discrete Numerical Schemes for Incompressible Navier–Stokes Equations on Staggered Grids

verfasst von: Huangxin Chen, Shuyu Sun, Tao Zhang

Erschienen in: Journal of Scientific Computing | Ausgabe 1/2018

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Abstract

In this paper we consider the energy stability estimates for some fully discrete schemes which both consider time and spatial discretizations for the incompressible Navier–Stokes equations. We focus on three kinds of fully discrete schemes, i.e., the linear implicit scheme for time discretization with the finite difference method (FDM) on staggered grids for spatial discretization, pressure-correction schemes for time discretization with the FDM on staggered grids for the solutions of the decoupled velocity and pressure equations, and pressure-stabilization schemes for time discretization with the FDM on staggered grids for the solutions of the decoupled velocity and pressure equations. The energy stability estimates are obtained for the above each fully discrete scheme. The upwind scheme is used in the discretization of the convection term which plays an important role in the design of unconditionally stable discrete schemes. Numerical results are given to verify the theoretical analysis.
Vorheriger Artikel Isospectral Domains for Discrete Elliptic Operators
Nächster Artikel Jacobi Polynomials on the Bernstein Ellipse

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Metadaten
Titel
Energy Stability Analysis of Some Fully Discrete Numerical Schemes for Incompressible Navier–Stokes Equations on Staggered Grids
verfasst von
Huangxin Chen
Shuyu Sun
Tao Zhang
Publikationsdatum
01.09.2017
Verlag
Springer US
Erschienen in
Journal of Scientific Computing / Ausgabe 1/2018
Print ISSN: 0885-7474
Elektronische ISSN: 1573-7691
DOI
https://doi.org/10.1007/s10915-017-0543-3

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