Time-dependent solutions of viscous incompressible flows in moving co-ordinates
Abstract
A time-accurate solution method for the incompressible Navier-Stokes equations in generalized moving coordinates is presented. A finite-volume discretization method that satisfies the geometric conservation laws for time-varying computational cells is used. The discrete equations are solved by a fractional-step solution procedure. The solution is second-order-accurate in space and first-order-accurate in time. The pressure and the volume fluxes are chosen as the unknowns to facilitate the formulation of a consistent Poisson equation and thus to obtain a robust Poisson solver with favorable convergence properties. The method is validated by comparing the solutions with other numerical and experimental results. Good agreement is obtained in all cases.
- Publication:
-
International Journal for Numerical Methods in Fluids
- Pub Date:
- December 1991
- DOI:
- 10.1002/fld.1650131008
- Bibcode:
- 1991IJNMF..13.1311R
- Keywords:
-
- Cartesian Coordinates;
- Computational Fluid Dynamics;
- Incompressible Flow;
- Time Dependence;
- Viscous Flow;
- Channel Flow;
- Circular Cylinders;
- Computational Grids;
- Finite Volume Method;
- Navier-Stokes Equation;
- Poisson Equation;
- Fluid Mechanics and Heat Transfer