Numerical simulation of incompressible fluid flow using locally solenoidal elements

Authors:
O. Karakashian;Th. Katsaounis
Affiliations:
-;-
Venue:
Computers & Mathematics with Applications
Year:
2006

Citing 5
Cited 1

Block-implicit multigrid solution of Navier-Stokes equations in primitive variables

Journal of Computational Physics
A new finite formulation for computational fluid dynamics: VII. The Stokes problem with various well-posed boundary conditions: symmetric formulations that converge for all velocity/pressure spaces

Computer Methods in Applied Mechanics and Engineering
Piecewise solenoidal vector fields and the Stokes problem

SIAM Journal on Numerical Analysis
Simulation of cavity flow by the lattice Boltzmann method

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A Nonconforming Finite Element Method for the Stationary Navier--Stokes Equations

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Penalty-Factor-Free Discontinuous Galerkin Methods for 2-Dim Stokes Problems

SIAM Journal on Numerical Analysis

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Abstract

In this paper, we present a numerical study of the performance of a discontinuous Galerkin formulation for the Navier-Stokes equations. This method is characterized by the fact that the velocity field is approximated using piecewise polynomial functions that are totally discontinuous across interelement boundaries and which are pointwise divergence-free on each element (locally solenoidal In particular, numerical results are presented for two well-known benchmark problems.