Numerical solution of flow problems using bodyfitted coordinate systems
Abstract
The technique of boundaryfitted coordinate systems is based on a method of automatic numerical generation of a general curvilinear coordinate system having a coordinate line coincident with each boundary of a general multiconnected region containing any number of arbitrarily shaped bodies. Once the curvilinear coordinate system is generated, any partial differential system of interest can be solved on this coordinate system by transforming the equations and solving the resulting system in finite difference approximation on the rectangular transformed plane. This method of automatic bodyfitted curvilinear coordinate generation is used to construct finitedifference solutions of the full, time dependent NavierStokes equations for the unsteady viscous flow about arbitrary twodimensional airfoils, or any other twodimensional bodies. Finally, initial results for threedimensional applications are also presented.
 Publication:

In Von Karman Inst. for Fluid Dyn. Computational Fluid Dyn
 Pub Date:
 1978
 Bibcode:
 1978cofd....1.....T
 Keywords:

 Coordinate Transformations;
 Coordinates;
 Mathematical Models;
 Nonlinear Systems;
 Aerodynamic Characteristics;
 Aerodynamic Configurations;
 Conformal Mapping;
 Finite Difference Theory;
 Fluid Mechanics and Heat Transfer