Numerical simulation of viscous flow about submerged arbitrary hydrofoils using nonorthogonal, curvilinear coordinates
Abstract
The method was the automatic numerically generated coordinate system. The two physical coordinates were generated by solving two elliptic partial differential equations with Dirichlet boundary conditions. Interpolation was eliminated from the solution by specifying a constant natural coordinate along each boundary in the physical plane. The coordinates were solved on a transformed plane which, by construction, had a rectangular region with a square finite difference grid. The transformed plane remains fixed even if the physical coordinates changed with time. Thus the coordinate system method could handle free surface problems.
 Publication:

Ph.D. Thesis
 Pub Date:
 November 1977
 Bibcode:
 1977PhDT.......108S
 Keywords:

 Hydrofoils;
 Numerical Analysis;
 Viscous Flow;
 Finite Difference Theory;
 Partial Differential Equations;
 Submerging;
 Fluid Mechanics and Heat Transfer