A Modal Analysis for the Finite Element Solution of Navier-Stokes Equations
Abstract
The finite element method is applied to the solution of Navier-Stokes equations for unsteady incompressible flow. A variational formulation is developed through which a consistent finite element discretization can be obtained in time and space. The continuity equation is introduced by using a new finite element model for which the pressure terms can be dropped from the equation. The resulting linearized set of equations is solved through a modal analysis, for which the solution of a set of equations at each time step of a numerical integration is not required.
- Publication:
-
Some Methods of Resolution of Free Surface Problems
- Pub Date:
- 1976
- DOI:
- 10.1007/3-540-08004-X_315
- Bibcode:
- 1976LNP....59..185E
- Keywords:
-
- Finite Element Method;
- Incompressible Flow;
- Navier-Stokes Equation;
- Unsteady Flow;
- Variational Principles;
- Euler-Lagrange Equation;
- Numerical Integration;
- Two Dimensional Flow;
- Fluid Mechanics and Heat Transfer