Dynamic coupling of boundary-fitted coordinate systems with the Navier-Stokes equations
Abstract
This research effort concerned the incorporation of a self-adjusting boundary-fitted coordinate system into a numerical solution of the time-dependent, incompressible Navier-Stokes equations. In the resulting code, the coordinate system continually adjusts itself in time to automatically concentrate lines in regions of developing flow gradients. The code is applicable to arbitrary two-dimensional bodies. This code is based on the velocity-pressure formulation with an algebraic turbulent eddy viscosity model. The solution uses second-order, central differences and is done by SOR iteration with a variable acceleration parameter field that is calculated automatically from the local velocity and grid spacing.
- Publication:
-
Final Report
- Pub Date:
- December 1982
- Bibcode:
- 1982msu..rept.....T
- Keywords:
-
- Computational Grids;
- Coordinates;
- Navier-Stokes Equation;
- Problem Solving;
- Computational Fluid Dynamics;
- Partial Differential Equations;
- Poisson Equation;
- Relaxation Method (Mathematics);
- Fluid Mechanics and Heat Transfer