Spurious Solutions in Driven Cavity Calculations
Abstract
A coupled system of nonlinear algebraic equations is obtained in connection with the approximation of the steady Navier-Stokes equation by finite difference or finite element methods. The two-dimensional case with uniform mesh is considered. The resulting algebraic system has many different solutions. It is pointed out that if the flow problem of interest has a unique solution, and one of the numerical solutions is a close approximation to it, then all of the others are spurious. The present investigation is concerned with exhibiting spurious solutions of centered difference approximations to the driven cavity problem.
- Publication:
-
Journal of Computational Physics
- Pub Date:
- January 1983
- DOI:
- 10.1016/0021-9991(83)90119-5
- Bibcode:
- 1983JCoPh..49..165S
- Keywords:
-
- Cavitation Flow;
- Computational Fluid Dynamics;
- Computer Techniques;
- Finite Difference Theory;
- Finite Element Method;
- Navier-Stokes Equation;
- Flow Equations;
- Reynolds Number;
- Stream Functions (Fluids);
- Two Dimensional Flow;
- Fluid Mechanics and Heat Transfer