We focus on the programming aspect of the treatment of digitized
geometries for subsequent use in mesh-free and mesh-based numerical
solvers. That perspective includes the description of our C/C++ implementations
which use OpenGL for the visualization and MFC classes for the user
interface. We report on our experience about implementing with the IGES
interface which serves as input for storage of geometric information. For
mesh-free numerical solvers, it is helpful to decompose the boundary of a
given solid into a set of four-sided surfaces. Additionally, we will describe
the treatment of diffeomorphisms on four-sided domains by using transfinite
interpolations. In particular, Coons and Gordon patches are appropriate for
dealing with such mappings when the equations of the delineating curves
are explicitly known. On the other hand, we show the implementation of
the mesh generation algorithms which invoke the Laplace-Beltrami operator.
We start from coarse meshes which one refine according to generalized
Delaunay techniques. Our software is also featured by its ability of treating
assembly of solids in B-Rep scheme.
| Identifer | oai:union.ndltd.org:DRESDEN/oai:qucosa:de:qucosa:18671 |
| Date | 27 February 2007 |
| Creators | Randrianarivony, Maharavo |
| Publisher | Technische Universität Chemnitz |
| Source Sets | Hochschulschriftenserver (HSSS) der SLUB Dresden |
| Language | English |
| Detected Language | English |
| Type | doc-type:preprint, info:eu-repo/semantics/preprint, doc-type:Text |
| Rights | info:eu-repo/semantics/openAccess |
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