Driven Cavity Flows by Efficient Numerical Techniques
Abstract
Efficient and reliable numerical techniques of high-order accuracy are presented for solving problems of steady viscous incompressible flow in the plane, and are used to obtain accurate solutions for the driven cavity. A solution is obtained at Reynolds number 10,000 on a 180 × 180 grid. The numerical methods combine an efficient linear system solver, an adaptive Newton-like method for nonlinear systems, and a continuation procedure for following a branch of solutions over a range of Reynolds numbers.
- Publication:
-
Journal of Computational Physics
- Pub Date:
- February 1983
- DOI:
- 10.1016/0021-9991(83)90129-8
- Bibcode:
- 1983JCoPh..49..310S
- Keywords:
-
- Cavitation Flow;
- Computational Fluid Dynamics;
- Incompressible Flow;
- Laminar Flow;
- Steady Flow;
- Iteration;
- Linear Systems;
- Navier-Stokes Equation;
- Newton Methods;
- Reynolds Number;
- Scalars;
- Viscous Flow;
- Fluid Mechanics and Heat Transfer