Dynamic coupling of boundaryfitted coordinate systems with the NavierStokes equations
Abstract
This research effort concerned the incorporation of a selfadjusting boundaryfitted coordinate system into a numerical solution of the timedependent, incompressible NavierStokes 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 twodimensional bodies. This code is based on the velocitypressure formulation with an algebraic turbulent eddy viscosity model. The solution uses secondorder, 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;
 NavierStokes Equation;
 Problem Solving;
 Computational Fluid Dynamics;
 Partial Differential Equations;
 Poisson Equation;
 Relaxation Method (Mathematics);
 Fluid Mechanics and Heat Transfer