重心ボロノイ図に基づく3次元数値流動シミュレーターの設計と検証  [in Japanese] A FINITE-VOLUME HYDRODYNAMIC SIMULATOR BASED ON CENTROIDAL VORONOI THESSELLATION  [in Japanese]

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Abstract

直交性と良好な格子形状を両立する格子上の局所高解像度シミュレーションを実現するために,重心ボロノイ図に基づく数値流動シミュレーターを設計・開発した.本論文では,まず重心ボロノイ図の基本特性とその生成方法,そして水際境界に沿う適合格子作成法について説明する.次に,任意多角形に対応する有限体積法に用いた数値スキームの概要,並列化手法,及びボロノイ図に適した高次精度スカラー移流スキームについて詳述する.最後に,本シミュレーターを汽水湖の内部ケルビン波問題に適用し,実現象の再現性と並列化効率について考察する.

 A finite-volume hydrodynamic simulator based on centroidal Voronoi tessellation (CVT) is proposed to realize smoothly varying local mesh refinement. The fundamental properties and generation techniques of CVT, weighted CVT and boundary-fitted CVT are explained with a suitable scalar advection scheme. Hybrid parallelization of the shared and distributed memory models has been implemented to achieve efficient long-term high resolution predictions. The simulator has been applied to the brackish lake Abashiri and the salinity fluctuations in the halocline were compared with the measured data. The measured salinity fluctuations due to the internal Kelvin wave are well simulated both in phase and magnitude.

Journal

  • Journal of Japan Society of Civil Engineers, Ser. B1 (Hydraulic Engineering)

    Journal of Japan Society of Civil Engineers, Ser. B1 (Hydraulic Engineering) 74(4), I_349-I_354, 2018

    Japan Society of Civil Engineers

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