Computational conformal mapping for surface grid generation
- Los Alamos National Laboratory, NM (United States)
- NASA Langley Research Center, Hampton, VA (United States)
The paper describes the development and application of a new approach for formulating an elliptic generation system on parametrically defined surfaces. The present derivation of the surface equations proceeds in two steps: First, conformal mapping of smooth surfaces onto rectangular regions is utilized to derive a first-order system of partial differential equations analogous to Beltrami`s system for quasi-conformal mapping of planar regions. Second, a general elliptic generation system for three-dimensional surfaces, including forcing functions, is formulated based on Beltrami`s system and quasi-conformal mapping. The resulting elliptic system is solved using an iterative method on arbitrary surfaces represented analytically by rational B-splines. The overall effect of this approach is a reliable and versatile elliptic method for generating and improving surface grids. Examples will be presented to demonstrate the application of the method in constructing practical grids. 21 refs., 5 figs.
- OSTI ID:
- 263369
- Journal Information:
- Journal of Computational Physics, Journal Name: Journal of Computational Physics Journal Issue: 2 Vol. 123; ISSN 0021-9991; ISSN JCTPAH
- Country of Publication:
- United States
- Language:
- English
Similar Records
Adaptive grid generation by using the Laplace-Beltrami operator on a monitor surface
A tensor product b-spline method for 3D multi-block elliptic grid generation