發(fā)布時(shí)間：2018-01-03 05:04

  本文關(guān)鍵詞：流固耦合不可壓物質(zhì)點(diǎn)法及其在晃動(dòng)問題中的應(yīng)用　出處：《計(jì)算力學(xué)學(xué)報(bào)》2016年04期 　論文類型：期刊論文

  更多相關(guān)文章： 物質(zhì)點(diǎn)法 流固耦合不可壓物質(zhì)點(diǎn)法 壓力泊松方程 液體晃動(dòng)

【摘要】：作為一種混合拉格朗日歐拉法,物質(zhì)點(diǎn)法在流固耦合問題中具有重要的應(yīng)用前景。對(duì)于自由液面的流動(dòng)問題,基于物質(zhì)點(diǎn)法框架已建立了弱可壓物質(zhì)點(diǎn)法和完全不可壓物質(zhì)點(diǎn)法,但在處理流固耦合問題時(shí)遇到了困難。弱可壓物質(zhì)點(diǎn)法由于采用可壓縮狀態(tài)方程,導(dǎo)致求解時(shí)間步長(zhǎng)過小,壓力振蕩嚴(yán)重,產(chǎn)生了非物理的飛濺現(xiàn)象;完全不可壓物質(zhì)點(diǎn)法基于投影算法和不可壓條件,消除了弱可壓物質(zhì)點(diǎn)法的壓力振蕩,提高了時(shí)間步長(zhǎng),但難以處理移動(dòng)邊界問題�；谧兎中问降耐队八惴ㄌ岢隽艘环N新型流固耦合不可壓物質(zhì)點(diǎn)法,得到了體積加權(quán)的壓力泊松方程PPE(Pressure Poisson Equation),解決了完全不可壓物質(zhì)點(diǎn)法無(wú)法處理不規(guī)則邊界和移動(dòng)邊界的問題。采用流固耦合不可壓物質(zhì)點(diǎn)法研究了運(yùn)動(dòng)剛體容器中的液體晃動(dòng)問題,并與已有實(shí)驗(yàn)和數(shù)值結(jié)果進(jìn)行對(duì)比,驗(yàn)證了算法的正確性和精度。
[Abstract]:As a mixed Lagrangian Euler method, the material point method has an important application prospect in the fluid-solid coupling problem. The weak compressible material point method and the completely incompressible material point method have been established based on the material point method, but it is difficult to deal with the fluid-solid coupling problem. The weak compressible material point method is based on the compressible equation of state. As a result, the solution time step is too small and the pressure oscillation is serious, which results in non-physical spatter phenomenon. Based on the projection algorithm and the incompressible condition, the point method of completely incompressible material eliminates the pressure oscillation of the point method of the weakly compressible material, and improves the time step. But it is difficult to deal with the problem of moving boundary. Based on the projection algorithm of variational form, a new point method of incompressible material with fluid-solid coupling is proposed. The volume weighted Poisson equation PPE(Pressure Poisson equation is obtained. The problem that the point method of completely incompressible material can not deal with the irregular boundary and the moving boundary is solved. The liquid sloshing problem in the moving rigid body container is studied by using the fluid-solid coupling incompressible material point method. The correctness and accuracy of the algorithm are verified by comparing with the experimental and numerical results.
【作者單位】： 清華大學(xué)航天航空學(xué)院;
【基金】：國(guó)家自然科學(xué)基金(11272180)資助項(xiàng)目
【分類號(hào)】：O353.4
【正文快照】： 1引言在航天航空、船舶與海洋工程、水利工程和核反應(yīng)堆等領(lǐng)域中存在大量的流固耦合問題。如航天器在變軌、交會(huì)、對(duì)接以及裝配過程中,液體推進(jìn)劑在外界激勵(lì)下產(chǎn)生的劇烈晃動(dòng)[1];大型液化天然氣船(LNG)等載貨船內(nèi)部液體在波浪載荷下的晃動(dòng);核反應(yīng)堆堆芯在地震和海嘯等突發(fā)刺激

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