A review of some finite element methods to solve the stationary Navier‐Stokes equations
- 1 March 1985
- journal article
- review article
- Published by Wiley in International Journal for Numerical Methods in Fluids
- Vol. 5 (3) , 269-280
- https://doi.org/10.1002/fld.1650050306
Abstract
In this paper the integrated solution approach, the penalty function approach and the solenoidal approach for the finite element solution of the stationary Navier‐Stokes equations are compared. It is shown that both the penalty function approach and the solenoidal approach compare favourably to the integrated solution method. For fine meshes the solenoidal approach appears to be the cheapest method.Keywords
This publication has 14 references indexed in Scilit:
- Consistent vs. reduced integration penalty methods for incompressible media using several old and new elementsInternational Journal for Numerical Methods in Fluids, 1982
- Old and new finite elements for incompressible flowsInternational Journal for Numerical Methods in Fluids, 1981
- An approximately divergence‐free 9‐node velocity element (with variations) for incompressible flowsInternational Journal for Numerical Methods in Fluids, 1981
- The application of quasi‐Newton methods in fluid mechanicsInternational Journal for Numerical Methods in Engineering, 1981
- The cause and cure (!) of the spurious pressures generated by certain fem solutions of the incompressible Navier‐Stokes equations: Part 2International Journal for Numerical Methods in Fluids, 1981
- The cause and cure (?) of the spurious pressures generated by certain FEM solutions of the incompressible Navier‐Stokes equations: Part 1International Journal for Numerical Methods in Fluids, 1981
- On the numerical solution of the stokes equations using the finite element methodComputer Methods in Applied Mechanics and Engineering, 1979
- A finite element for the numerical solution of viscous incompressible flowsJournal of Computational Physics, 1979
- Finite elements for incompressible flowMathematical Methods in the Applied Sciences, 1979
- A class of methods for solving nonlinear simultaneous equationsMathematics of Computation, 1965