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基于SPH方法波浪與開孔沉箱式防波堤相互作用的數(shù)值研究

發(fā)布時(shí)間:2018-05-03 04:31

  本文選題:開孔沉箱 + 波浪力; 參考:《大連理工大學(xué)》2016年博士論文


【摘要】:進(jìn)入21世紀(jì)以來,海洋資源的開發(fā)得到了越來越多的重視,海洋災(zāi)害的預(yù)防和治理工作刻不容緩,掌握波浪與海洋工程結(jié)構(gòu)物相互作用機(jī)理就顯得格外重要。由于這類水動(dòng)力學(xué)問題的復(fù)雜性,以往模型實(shí)驗(yàn)和理論方法的研究,不僅耗時(shí)、成本高,而且在實(shí)體復(fù)雜結(jié)構(gòu)模擬、問題域簡化假設(shè)等諸多因素影響下,很多細(xì)節(jié)問題和物理現(xiàn)象不能得到深入的研究。因此,亟需一種計(jì)算機(jī)高級(jí)仿真技術(shù)來解決這一復(fù)雜科研課題。SPH(光滑粒子流體動(dòng)力學(xué))算法的提出可以彌補(bǔ)這一領(lǐng)域數(shù)值研究方法的空缺,其無網(wǎng)格和自適應(yīng)特性,使得SPH方法明顯優(yōu)于以往基于網(wǎng)格的有限元(FEM)和離散元(DEM)等數(shù)值方法。因此,將SPH近似算法應(yīng)用到水動(dòng)力學(xué)問題研究中將成為當(dāng)前這一學(xué)科的熱點(diǎn)。在深入研究SPH方法的基礎(chǔ)上,本文首先將水動(dòng)力問題域進(jìn)行離散化處理;采用SPH近似算法對Navier-Stokes水動(dòng)力學(xué)控制方程組進(jìn)行了逼近求解,得到了適用于研究波浪與結(jié)構(gòu)物相互作用問題的水動(dòng)力數(shù)學(xué)模型;采用虛粒子對沉箱模型進(jìn)行了數(shù)值模擬,滿足了沉箱邊界的不可穿透性;基于CSPM和Riemann解相結(jié)合的方法對SPH方法進(jìn)行了修正,成功地建立了模擬波浪與開孔沉箱相互作用的二維數(shù)值波浪水槽;對沉箱固壁邊界粒子受到的波壓力進(jìn)行了修正,實(shí)現(xiàn)了流體與沉箱邊界壓力的穩(wěn)定傳遞;通過多個(gè)數(shù)值算例將SPH計(jì)算結(jié)果與線性規(guī)則波理論值對比,驗(yàn)證了SPH近似算法的正確性。本文通過對波浪與無頂板開孔沉箱實(shí)驗(yàn)過程的數(shù)值模擬,研究了無頂板開孔沉箱反射系數(shù)Kr1、總水平力與消浪室相對寬度B/L、相對波高H/L等影響因素之間的關(guān)系,得出與物理模型實(shí)驗(yàn)擬合關(guān)系式相一致的結(jié)論,精細(xì)地研究了開孔沉箱消浪室內(nèi)外波壓力的分布規(guī)律,為無頂板開孔沉箱的工程設(shè)計(jì)提供了新的參考依據(jù);本文還研究了規(guī)則波作用下無頂板開孔沉箱消浪室內(nèi)外水粒子壓力場、速度場變化特性,對水粒子出入消浪室復(fù)雜的物理過程進(jìn)行了分析,詳細(xì)討論了消浪室內(nèi)部速度場的變化情況。其次,基于改進(jìn)后SPH數(shù)學(xué)模型,考慮到頂板高差對有頂板開孔沉箱水動(dòng)力性能的影響,對波浪與有頂板開孔沉箱實(shí)驗(yàn)過程進(jìn)行了數(shù)值模擬,對頂板相對高差s/H與反射系數(shù)之間的關(guān)系進(jìn)行了研究,得出了有頂板開孔沉箱反射系數(shù)與其影響因素s/H是非線性關(guān)系的結(jié)論,并通過實(shí)驗(yàn)結(jié)果驗(yàn)證了此結(jié)論的正確性。文中分析了頂板高差對波面及波壓力的影響,給出了波壓力沿有頂板開孔沉箱高度方向的分布規(guī)律。同時(shí),本文研究了頂板相對高差與總水平力的非線性關(guān)系,并將其與實(shí)驗(yàn)擬合關(guān)系式進(jìn)行了對比,得出了一致的結(jié)論,文中還研究了頂板高差對總水平力與開孔板前后、消浪室后墻所受到的水平力組分的影響,對不同頂板高差時(shí)消浪室內(nèi)外壓力場、速度場進(jìn)行了分析,并對有頂板開孔沉箱消浪室內(nèi)水粒子速度場變化情況進(jìn)行了細(xì)致地討論。最后,將SPH方法與有限元計(jì)算程序?qū)?展開對開孔沉箱水動(dòng)力作用下瞬態(tài)動(dòng)力響應(yīng)問題的研究。文中通過對液倉-彈性板相互作用實(shí)驗(yàn)過程的數(shù)值模擬,驗(yàn)證了瞬態(tài)動(dòng)力分析方法的正確性。本文研究了波浪荷載作用下沉箱動(dòng)應(yīng)力變化情況,給出了有頂板開孔沉箱動(dòng)應(yīng)力分布規(guī)律,分析了不同頂板相對高差s/L和不同消浪室相對寬度B/L對開孔沉箱應(yīng)力的影響,并得出了開孔板動(dòng)應(yīng)力自開孔板中心向兩側(cè)先減小后增大非線性變化的重要結(jié)論,通過SPH方法與有限元程序的對接為波浪作用下開孔沉箱結(jié)構(gòu)動(dòng)力響應(yīng)問題研究提供了一個(gè)新的技術(shù)手段。
[Abstract]:Since the twenty-first Century, more and more attention has been paid to the development of marine resources. The prevention and control of marine disasters is of great urgency. It is very important to master the interaction mechanism of waves and marine engineering structures. The cost is high, and many details and physical phenomena can not be deeply studied under the influence of the complex structure simulation of the entity and the simplified hypothesis of the problem domain. Therefore, a computer advanced simulation technology is urgently needed to solve this complex research topic.SPH (smooth particle fluid dynamics) algorithm can make up for this The vacancy of the domain numerical research method, its meshless and adaptive characteristics makes the SPH method obviously better than the numerical methods such as FEM and DEM based on grid. Therefore, the application of the SPH approximation algorithm to the study of the hydrodynamic problems will become a hot topic in this subject. On the basis of the in-depth study of the SPH method, this paper is based on the study of the SPH method. First, the hydrodynamic problem domain is discretized, and the SPH approximation algorithm is used to approximate the Navier-Stokes hydrodynamics control equations. The hydrodynamic mathematical model is obtained for the study of the interaction between wave and structure, and the caisson model is numerically simulated with the virtual particle, which satisfies the caisson boundary. The SPH method is modified based on the combination of CSPM and Riemann solution. The two-dimensional numerical wave flume is successfully established to simulate the interaction between the wave and the open caisson. The wave pressure on the particle boundary particles in the solid wall of the caisson is corrected, and the steady transfer of the boundary pressure between the flow body and the caisson is realized. By comparing the SPH calculation results with the linear regular wave theory, the correctness of the SPH approximation algorithm is verified by several numerical examples. Through the numerical simulation of the experimental process of the open caisson in wave and roof free open hole, the influence factors such as the reflection coefficient Kr1 of the open caisson without roof open hole, the total horizontal force and the relative width B/L of the wave eliminating chamber and the relative wave height H/L are studied. The relationship between them is consistent with the fitting formula of the physical model experiment. The distribution law of the external wave pressure in the open caisson wave elimination chamber is carefully studied, which provides a new reference for the engineering design of the open caisson without roof. In this paper, the pressure of the external water particle pressure in the open caisson without roof Open Caisson under the action of the regular wave is also studied. The force field and the velocity field change characteristics are analyzed and the complex physical process of the water particle entry and exit chamber is analyzed. The change of the velocity field in the wave elimination chamber is discussed in detail. Secondly, based on the improved SPH mathematical model, considering the effect of the roof height difference on the hydrodynamic energy of the open caisson with a top plate, the experiment on the wave and the open caisson with a roof with a roof has been tested. The relationship between the relative height difference s/H of the roof and the reflection coefficient is studied. The conclusion is drawn that the reflection coefficient of the caisson with the top plate and its influence factor s/H is nonlinear, and the correctness of the conclusion is verified by the experimental results. The distribution law of the wave pressure along the height direction of the caisson with a roof opening is presented. At the same time, this paper studies the nonlinear relation between the relative height difference of the roof and the total horizontal force, and compares it with the experimental fitting relation, and draws a consistent conclusion. The paper also studies the height difference of the roof to the total horizontal force and the opening plate, the rear wall of the wave eliminating chamber. The influence of the horizontal force component is analyzed on the pressure field and the velocity field of the wave dissipating room at different roof height differences, and the velocity field of the water particle in the caisson chamber with a roof open caisson is discussed carefully. Finally, the SPH method is butted with the finite element calculation program to expand the transient state of the Open Caisson under the hydrodynamic force. In this paper, the correctness of the transient dynamic analysis method is verified by numerical simulation of the experimental process of the interaction of the liquid silo elastic plate. The dynamic stress variation of the Caisson under the action of wave load is studied. The dynamic stress distribution law of the caisson with a roof open hole is given, and the relative height difference s/L of the different roof is analyzed. And the influence of the relative width of B/L on the stress of open caisson, and the conclusion that the dynamic stress of the open hole plate is reduced first to both sides and then the nonlinear change is increased. The connection between the SPH method and the finite element program provides a new technique for the study of the dynamic response of the open caisson structure under the action of the wave action. Means.

【學(xué)位授予單位】:大連理工大學(xué)
【學(xué)位級(jí)別】:博士
【學(xué)位授予年份】:2016
【分類號(hào)】:U656.2

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