Surface grid generation for multi-block structured grids
Abstract
A new grid generation technique for the computation of a structured grid on a generally curved surface in 3D is discussed. The starting assumption is that the parameterization of the surface exists, i.e. a smooth geometrical shape function exists which maps the parametric space (the unit square) one-to-one on the surface. The grid generation system computes a grid on the surface with as boundary conditions the following data specified along the four edges of the surface: (1) the position of the boundary grid points, (2) the grid line slopes at the boundary grid points, (3) the first grid cell lengths at the boundary grid points. The fourth-order elliptic biharmonic equations are used to compute the two families of grid lines in the parametric space. After that, each grid point in the parametric space is found as the intersection point between two individual grid lines, one from each family. The grid points on the surface are finally found by mapping the grid points in the parametric space on the surface via the geometrical shape function. Results are shown for an O-type 2D Euler grid, a C-type 2D Navier-Stokes grid and on some curved surfaces in 3D space.
- Publication:
-
Computational Fluid Dynamics 1992
- Pub Date:
- 1992
- Bibcode:
- 1992cfd..proc..937S
- Keywords:
-
- Computational Fluid Dynamics;
- Computational Grids;
- Euler Equations Of Motion;
- Grid Generation (Mathematics);
- Navier-Stokes Equation;
- Aerodynamic Configurations;
- Boundary Conditions;
- Flow Distribution;
- Three Dimensional Flow;
- Fluid Mechanics and Heat Transfer