本文選題：無網(wǎng)格法 + MPS方法　； 參考：《計算力學(xué)學(xué)報》2017年03期

【摘要】：隨著計算科學(xué)的發(fā)展,研究人員為探索流固耦合問題的物理機(jī)理而提出了眾多的數(shù)值方法。其中,耦合的移動粒子半隱式方法 MPS(Moving Particle Semi-Implicit method)和有限單元法FEM(Finite Element method)為流固耦合問題的數(shù)值仿真工作提供了新的途徑。本文所有流場的數(shù)值模擬工作均采用課題組自主開發(fā)的無網(wǎng)格法求解器MLParticle-SJTU來完成。該求解器在原始的MPS法基礎(chǔ)上,對核函數(shù)、壓力梯度模型、壓力泊松方程的求解和自由面判斷方式等方面進(jìn)行了改進(jìn)。此外,在該求解器框架內(nèi),基于FEM法拓展了針對結(jié)構(gòu)場進(jìn)行求解的功能。首先,對MPS和FEM方法的理論模型及其耦合策略進(jìn)行了介紹。然后,采用該自研MPS-FEM耦合求解器,數(shù)值模擬了潰壩流動對彈性結(jié)構(gòu)的沖擊及其相互作用的標(biāo)準(zhǔn)問題。通過將結(jié)構(gòu)變形及自由面波型變化等結(jié)果與已發(fā)表結(jié)果進(jìn)行對比,驗證了該求解器在處理帶自由面劇烈變化的粘性流體和柔性變形結(jié)構(gòu)的耦合作用問題上的可行性。
[Abstract]:With the development of computational science, many numerical methods have been proposed to explore the physical mechanism of fluid-solid coupling problems. Among them, the coupled moving particle semi-implicit method (MPs) and finite element method (FEM) provide a new approach for numerical simulation of fluid-solid coupling problems. In this paper, the numerical simulation of all the flow fields is accomplished by MLParticle-SJTU, a meshless solver developed by the research group. Based on the original MPs method, the solver improves the kernel function, the pressure gradient model, the solution of the pressure Poisson equation and the free surface judgment. In addition, in the framework of the solver, the FEM method is used to expand the function of solving the structure field. Firstly, the theoretical model and coupling strategy of MPs and FEM are introduced. Then, the self-developed MPS-FEM coupled solver is used to numerically simulate the impact of dam-break flow on elastic structures and the standard problem of their interaction. By comparing the results of structural deformation and the change of free surface wave pattern with the published results, the feasibility of the proposed solver in dealing with the coupling between viscous fluid with violent changes of free surface and flexible deformed structures is verified.
【作者單位】： 上海交通大學(xué)船舶海洋與建筑工程學(xué)院海洋工程國家重點(diǎn)實驗室高新船舶與深海開發(fā)裝備協(xié)同創(chuàng)新中心;
【基金】：國家自然科學(xué)基金(51379125,51490675,11432009,51579145) 長江學(xué)者獎勵計劃(2014099) 上海高校特聘教授(東方學(xué)者)崗位跟蹤計劃(2013022) 上海市優(yōu)秀學(xué)術(shù)帶頭人計劃(17XD1402300) 上海市船舶工程重點(diǎn)實驗室基金(K2015-11) 工信部數(shù)值水池創(chuàng)新專項VIV/VIM項目(2016-23/09)資助項目
【分類號】：O353.4
，

本文編號：2059016