On a finite element method for three-dimensional unsteady compressible viscous flows
β Scribed by Biyue Liu
- Publisher
- John Wiley and Sons
- Year
- 2004
- Tongue
- English
- Weight
- 182 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0749-159X
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β¦ Synopsis
Abstract
In this article we analyze a finite element method for threeβdimensional unsteady compressible NavierβStokes equations. We prove the existence and uniqueness of the numerical solution, and obtain a priori error estimates uniform in time. Numerical computations are carried out to test the orders of accuracy in the error estimates. Blend function interpolations are applied in the calculation of numerical integrations. Β© 2004 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 20: 432β449, 2004.
π SIMILAR VOLUMES
This work presents a mixed three-dimensional finite element formulation for analyzing compressible viscous flows. The formulation is based on the primitive variables velocity, density, temperature and pressure. The goal of this work is to present a 'stable' numerical formulation, and, thus, the inte
A time-accurate integration method for the study of unsteady incompressible viscous flows is presented, based on a three-point-backward implicit discretization of the Navier-Stokes equations in real time and a pseudo-time relaxation with artificial compressibility to advance the solution between con