Optimization of Dynamic 3D Hex-dominant Mesh Adapted for Basins Simulation Using the Smoothing Laplacian 2D

Abstract : To improve a dynamic hex-dominant mesh for basins, a particular optimization in shape is proposed in this article. The aim is to return a mesh as regular as possible on $xy$ coordinates and align the $z$ coordinates. This optimization must complete an existing approach generate a hex-dominant mesh to improve these generated elements. To do this optimization for the $xy$ coordinate a Transformation called Smoothing Laplacian is applied. After, an iterative method which transforms some connections between layers in verticals. And it’s possible to conclude that this kind of optimization can be improved to have any shape wanted.
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https://hal-utt.archives-ouvertes.fr/hal-02273168
Contributor : Daniel Gavrysiak <>
Submitted on : Wednesday, August 28, 2019 - 3:29:50 PM
Last modification on : Monday, September 16, 2019 - 4:36:11 PM

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B. Yahiaoui, Houman Borouchaki, A. Benali, C. Bennis. Optimization of Dynamic 3D Hex-dominant Mesh Adapted for Basins Simulation Using the Smoothing Laplacian 2D. ECMOR XIII - 13th European Conference on the Mathematics of Oil Recovery, Sep 2012, Biarritz, France. ⟨10.3997/2214-4609.20143256 ⟩. ⟨hal-02273168⟩

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