A finite element method for high Reynolds number viscous fluid flow using two step explicit scheme
- 1 March 1983
- journal article
- research article
- Published by Wiley in International Journal for Numerical Methods in Fluids
- Vol. 3 (2) , 137-163
- https://doi.org/10.1002/fld.1650030205
Abstract
This paper presents the finite element method for the analysis of unsteady viscous flow of fluid at high Reynolds numbers. The method is based on the explicit numerical integration scheme in time and uses three node triangular finite elements. For the convenience of the formulation, slight compressibility is considered. For the explicit scheme, the selective lumping two step scheme has been successfully employed. Vortex shedding behind a cylinder has been computed and compared with the conventional experimental results. The results agree favourably when both schemes are compared.Keywords
This publication has 11 references indexed in Scilit:
- A numerical method for solving incompressible viscous flow problemsPublished by Elsevier ,2004
- SEADASER — a general purpose finite element program for coastal sea current and dispersionAdvances in Engineering Software (1978), 1981
- Two-step explicit finite element method for storm surge propagation analysisInternational Journal for Numerical Methods in Engineering, 1980
- Adding limited compressibility to incompressible hydrocodesJournal of Computational Physics, 1980
- Finite element analysis of incompressible viscous flows by the penalty function formulationJournal of Computational Physics, 1979
- Smoothing techniques for certain primitive variable solutions of the Navier–Stokes equationsInternational Journal for Numerical Methods in Engineering, 1979
- Two step explicit finite element method for tsunami wave propagation analysisInternational Journal for Numerical Methods in Engineering, 1978
- CONVERGENCE OF FINITE ELEMENT LAX-WENDROFF METHOD FOR LINEAR HYPERBOLIC DIFFERENTIAL EQUATIONProceedings of the Japan Society of Civil Engineers, 1976
- On the numerical treatment of the Navier-Stokes equations for an incompressible fluidJournal of Engineering Mathematics, 1973
- Sur l'approximation de la solution des équations de Navier-Stokes par la méthode des pas fractionnaires (I)Archive for Rational Mechanics and Analysis, 1969