Mesh Generation for Symmetrical Geometries
نویسنده
چکیده
Symmetries are not only fascinating, but they can also be exploited when designing numerical algorithms and data structures for scientific engineering problems in symmetrical domains. Geometrical symmetries are studied, particularly in the context of so called equivariant operators, which are relevant to a wide range of numerical applications. In these cases, it is possible to exploit the symmetry via the generalized Fourier transform, thereby considerably reducing not only storage requirement but also computational cost. The aim of this paper is to introduce group theoretical aspects of symmetry, to point out the benefits of using these concepts when designing numerical algorithms, and to state the implications for the generation of the mesh.
منابع مشابه
Two-Dimensional Boundary-Conforming Orthogonal Grids for External and Internal Flows Using Schwarz-Christoffel Transformation
In this paper, a Schwarz-Christoffel method for generating two-dimensional grids for a variety of complex internal and external flow configurations based on the numerical integration procedure of the Schwarz-Christoffel transformation has been developed by using Mathematica, which is a general purpose symbolic-numerical-graphical mathematics software. This method is highly accurate (fifth order...
متن کاملTwo-Dimensional Boundary-Conforming Orthogonal Grids for External and Internal Flows Using Schwarz-Christoffel Transformation
In this paper, a Schwarz-Christoffel method for generating two-dimensional grids for a variety of complex internal and external flow configurations based on the numerical integration procedure of the Schwarz-Christoffel transformation has been developed by using Mathematica, which is a general purpose symbolic-numerical-graphical mathematics software. This method is highly accurate (fifth order...
متن کاملAutomatic Non-manifold Topology Recovery and Geometry Noise Removal
This paper presents an effective method for automatic topology recovery of non-manifold geometries. Mixing topology recovery and geometry noise detection/removal allowed us to achieve effectively the automation and robustness required by such methods. We developped our method on CAD boundary representation (BREP) geometries in the context of surface mesh generation, but it could also be directl...
متن کاملParallel Mesh Generation and Adaptation for Cad Geometries Parallel Mesh Generation and Adaptation for Cad Geometries
SUMMARY Large scale parallel simulations are dealing with meshes with millions to billions of elements. As the numbers of elements in these meshes continue to increase, it is becoming necessary to deal with the generation and control of the mesh in parallel. This paper overviews a set of procedures that can accept a CAD model as input and generate initial meshes in parallel with 100's of millio...
متن کامل