A Modal Analysis for the Finite Element Solution of NavierStokes Equations
Abstract
The finite element method is applied to the solution of NavierStokes 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:
 10.1007/354008004X_315
 Bibcode:
 1976LNP....59..185E
 Keywords:

 Finite Element Method;
 Incompressible Flow;
 NavierStokes Equation;
 Unsteady Flow;
 Variational Principles;
 EulerLagrange Equation;
 Numerical Integration;
 Two Dimensional Flow;
 Fluid Mechanics and Heat Transfer