Spurious Solutions in Driven Cavity Calculations
Abstract
A coupled system of nonlinear algebraic equations is obtained in connection with the approximation of the steady NavierStokes equation by finite difference or finite element methods. The twodimensional 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:
 10.1016/00219991(83)901195
 Bibcode:
 1983JCoPh..49..165S
 Keywords:

 Cavitation Flow;
 Computational Fluid Dynamics;
 Computer Techniques;
 Finite Difference Theory;
 Finite Element Method;
 NavierStokes Equation;
 Flow Equations;
 Reynolds Number;
 Stream Functions (Fluids);
 Two Dimensional Flow;
 Fluid Mechanics and Heat Transfer