Analysis of the Effect of Boundary Conditions on Numerical Stability of Solutions of Navier-Stokes Equations
Abstract
The purpose of this note is to emphasize the cause of the computational instabilities of the ADI scheme. A heuristic extension of the Fourier method involving the effects of various types of boundary conditions is applied to two problems, the driven cavity flow and the natural convection in an inclined solar cell.
- Publication:
-
Journal of Computational Physics
- Pub Date:
- July 1980
- DOI:
- 10.1016/0021-9991(80)90168-0
- Bibcode:
- 1980JCoPh..36..417B
- Keywords:
-
- Boundary Conditions;
- Boundary Value Problems;
- Cavitation Flow;
- Computational Fluid Dynamics;
- Convective Flow;
- Navier-Stokes Equation;
- Numerical Stability;
- Cavity Flow;
- Free Convection;
- Heuristic Methods;
- Solar Cells;
- Stream Functions (Fluids);
- Fluid Mechanics and Heat Transfer