Meshing a curved surface with orthogonale lines.
Hy everybody, does anuyone know a method for generating a orthogonal mesh on a 3D curved surface. Thanks.

Re: Meshing a curved surface with orthogonale lines.
3D orthogonal coordinate systems do not exist in general. That is, your curved surface cannot, in general, be a constant coordinate surface of a 3D orthogonal coordinate system (although it can if your surface curves in only one direction?).
This raises two questions: where does the requirement for orthogonality come from? and what mathematical properties are actually required in the curved grid. Devising a method that directly seeks to minimise the required numerical property would seem the optimum way forward. One simple approach to generating a reasonably "orthogonal" grid would be to solve the 2D orthogonal generating equations via projection onto the surface and evaluating the scale factors with 3D distances. I can think of a couple more approaches but hesitate to make a firm recommendation without having done it. 
Re: Meshing a curved surface with orthogonale lines.
Actually, this has been done before by using Poisson equations for the grid lines. A description of this can be found in "A Fast Method for the Elliptic Generation of ThreeDimensional Grids with Full Boundary Control" by A. Hilgenstock. This was published in 'Proceeedings of the Numerical Grid Generation in Comp. Fluid Dynamics Conference', edited by S. Sengupta, 1988. A briefer description can also be found in "Numerical Methods for Engineers and Scientists", by J.D. Hoffman, McGrawHill, 1992.

All times are GMT 4. The time now is 14:23. 