学際大規模情報基盤共同利用・共同研究拠点

採択課題 【詳細】

jh250056 変分マルチスケール法による速度・圧力同時解法型粒子法
課題代表者 浅井光輝(九州大学大学院工学研究院)
mitsuteru asai (Kyushu University)
概要 非圧縮性流体の支配方程式となる連続の式と運動量保存則の両者を満足する速度場と圧力場を同時に解くには,方程式が不定となり,このままでは求解できない.そこで,安定化有限要素法で培われてきた変分マルチスケールの概念による安定化技法を粒子法へと移植し,加えて条件数が悪い行列問題を独自に発展してきた粒子法用のマルチグリッドソルバで安定かつ高速に解く,新しい粒子法を構築する.
関連Webページ
報告書等 研究紹介ポスター / 最終報告書
業績一覧 (1) 学術論文 (査読あり)
[] Shujiro Fujioka, Kumpei Tsuji, Naoto Mitsume, Mitsuteru Asai, 2025, A generalized vertical coordinate transformation based on SPH(2) for efficient free surface flow simulations, Journal of Computational Physics, 543, 114407
[] Kensuke Shobuzako, Shigeo Yoshida, Yoshifumi Kawada, Ryosuke Nakashima, Shujiro Fujioka, Mitsuteru Asai, 2025, A generalized smoothed particle hydrodynamics method based on the moving least squares method and its discretization error estimation, Results in Applied Mathematics, 26, 100594
[] Yangfan Ma, Mitsuteru Asai, Bin Su, Zheng Han, Changze Li, Guangqi Chen, 2025, A two-point three-phase resolved coupling framework for modeling boulder-laden debris flows, Journal of Rock Mechanics and Geotechnical Engineering
[] Daniel S. Morikawa, Mitsuteru Asai, 2025, Implicit incompressible SPH(2) with novel Laplacian of velocity operator for highly viscous rotational problems, Computational Particle Mechanics, 12 (6), 4495-4513
[] Kota MATSUNAGA, Shujiro FUJIOKA, Kensuke SHOBUZAKO, Mitsuteru ASAI, 2026, LS-ISPH: INCOMPRESSIBLE FLUID ANALYSIS BASED ON THE LEAST SQUARES METHOD WITH CONSTRAINTS FOR FREE-SURFACES AND SOLID WALLS LS-ISPH: 自由表面および固体壁の制約条件付き最小二乗法による非圧縮性流体解析, Japanese Journal of JSCE, 82 (15), n/a
[] Yangfan MA, Mitsuteru ASAI, Zheng HAN, Bin SU, Guangqi CHEN, 2026, An interface-aware, conservative δR-Plus-SPH for granular slide–water interaction across subaerial–subaqueous regimes, Computer Methods in Applied Mechanics and Engineering, 452, 118756
[] Daniel Shigueo Morikawa, Haruki Osaki, Yusuke Morito, Shigenobu Tsutsumi, Mitsuteru Asai, 2026, Multigrid preconditioned asymmetric iterative solver for the incompressible SPH(2) for multi-GPU environments, Computer Methods in Applied Mechanics and Engineering, 453, 118842
(2) 国際会議プロシーディングス (査読あり)
該当なし
(3) 国際会議発表(査読なし)
[] Kota Matsunaga, Shujiro Fujioka, Kensuke Shobuzako, Mitsuteru Asai, LS-SPH: A high order SPH formulation based on the moving least squares with boundary constraints, ICCCI2025, Yamanashi
[] Taiki Segawa, Yoshiya Shirakami, Yoichi Yuki, Suguru Kano, Mitsuteru Asai, SPH Formulation on Non-Newtonian Model for Fresh Concrete Flow Prediction, ICCCI, Yamanashi
[] Mitsuteru Asai, Shujiro Fujioka, Kumpei Tsuji, A higher order particle method SPH(2) and its applications, ICCCI, Yamanashi
[] Shodai Okano, Daniel Morikawa, Louis Ge, Mitsuteru Asai, Velocity and pressure monolithic scheme based on SPH for fluid flow simulations with arbitrary solid wall boundaries, Compsafe, Kobe, 2025
[] Shujiro Fujioka, Kumpei Tsuji, Naoto Mitsume, Mitsuteru Asai, Computational cost reduction for SPH applying vertical coordinate transformation, Compsafe, Kobe, 2025
[] Yangfan Ma, Mitsuteru Asai, Resolved Coupling of Stony Debris Flows With a Two-Point Multi-Phase Method, Compsafe, Kobe, 2025
[] Shodai Okano, Daniel Morikawa, Louis Ge, Mitsuteru Asai, Stabilized velocity-pressure monolithic SPH for incompressible fluid using Variational Multiscale Method, APCOM-ACCM 2025
[] Shujiro Fujioka, Kumpei Tsuji, Naoto Mitsume, Mitsuteru Asai, Vertical coordinate transformations for SPH to improve computational efficiency, APCOM-ACCM 2025
[] Yangfan Ma, Mitsuteru Asai, Phase-field multi-physics simulation of grain fragmentation with material point method, PARTICLES 2025
[] Shodai Okano, Daniel Morikawa, Louis Ge, Mitsuteru Asai, Improvement of Wall Boundary Treatment using Velocity-Pressure Monolithic SPH Fluid Analysis Algorithm, PARTICLES 2025
[] Shujiro Fujioka, Kumpei Tsuji, Naoto Mitsume, Mitsuteru Asai, An Enhanced Multiphase SPH Method Incorporating Visco-Inertial Rheology for Cascading Landslide-Tsunami Simulation, PARTICLES 2025
(4) 国内会議発表(査読なし)
該当なし
(5) 公開したライブラリなど
該当なし
(6) その他(特許,プレスリリース,著書等)
該当なし
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