The Navier-Stokes initial-boundary-value problem with a difference approximation
Abstract
The Navier-Stokes initial-boundary-value problem of an incompressible viscous fluid in a closed three-dimensional region with a smooth boundary is investigated analytically. It is shown that a single epsilon-type difference approximation applied to the convection term leads to a globally soluble system with a uniquely determined classical solution which also satisfies the energy equation.
- Publication:
-
Gesellschaft angewandte Mathematik und Mechanik Jahrestagung Goettingen West Germany Zeitschrift Flugwissenschaften
- Pub Date:
- 1985
- Bibcode:
- 1985GMMWJ..65..360R
- Keywords:
-
- Boundary Value Problems;
- Computational Fluid Dynamics;
- Incompressible Fluids;
- Navier-Stokes Equation;
- Hilbert Space;
- Three Dimensional Flow;
- Viscous Fluids;
- Fluid Mechanics and Heat Transfer