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Speaker |
Miyauchi, Atsushi |
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| Talk Title |
Applications of Hexagonal Close Pack Mesh for Fluid Dynamics |
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Abstract |
In the recent success of gravitational wave detection, numerical relativity underpinned with a series of waveform templates directly calculated from Einstein equations. Although regular orthogonal mesh worked well for that purpose, much isotropic mesh is basically preferable for fluid motions from the points of numerical accuracy and stability. Hexagonal close pack(HCP) mesh would be ideal for ADM equations and their descendants. However, HCP has never been used for so far. The main reason, I guess, is that it is not comfortable to define HCP with data types programming language provides. Arrays of HCP span oblong so much since three principal axes of unit cell strongly skew. In this presentation, I introduce twisted Cartesian coordinate to make HCP implemented on common programming languages such as C/C++ or Python easily and efficiently. Furthermore, refined mesh technique is an indispensable gear of numerical relativity today, which enables us to control mesh density to resolve fine phenomena with desirable accuracy. Therefore, a mesh refinement procedure of HCP is also presented here. In addition, preliminary results employing a finite volume method are shown as examples. |
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