Topology-based hexahedral regular meshing for wave propagation

Allan Fousse; Yves Bertrand; Dominique Rodrigues

doi:10.1117/12.404816

23 October 2000 Topology-based hexahedral regular meshing for wave propagation

Allan Fousse, Yves Bertrand, Dominique Rodrigues

Proceedings Volume 4117, Vision Geometry IX; (2000) https://doi.org/10.1117/12.404816
Event: International Symposium on Optical Science and Technology, 2000, San Diego, CA, United States

Abstract

Numeric simulations allow the study of physical phenomenon that are impossible or difficult to realize in the real world. As an example, it is not conceivable to cause an atomic explosion or an earthquake for exploring the effects on a building or a flood barrier. To be realistic, this kind of simulation (waves propagation), must take into account all the characteristics of the domain where it takes place, and more particularly the tri-dimensional aspect. Therefore, numericians need not only a three-dimensional model of the domain, but also a meshing of this domain. In the case we use finite differences based methods, this meshing must be hexahedral and regular. Moreover, new developments on the numerical propagation code provides tools for using meshes that interpolate the interior subdivisions of the domain. However, the manual generation of this kind of meshing is a long and difficult process. This is why to improve and simplify this work, we propose a semi-automatic algorithm based on a block subdivision. It makes use of the dissociation between the geometrical and topological aspects. Indeed, with our topological model a regular hexahedral meshing is far easier to generate. This meshing geometry can be supplied by a geometric model, with reconstruction, interpolation or parameterization methods, but it is anyway completely guided by the topological model. The result is a software presently used by the Commissariat a` l'Energie Atomique in several full-size studies, and notably for the framework of the Comprehensive Test Ban Treaty.

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Allan Fousse, Yves Bertrand, and Dominique Rodrigues "Topology-based hexahedral regular meshing for wave propagation", Proc. SPIE 4117, Vision Geometry IX, (23 October 2000); https://doi.org/10.1117/12.404816

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KEYWORDS

3D modeling

Wave propagation

Computer simulations

Data modeling

Earthquakes

Floods

Interfaces

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