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波流共同作用下的二維泥沙數(shù)學(xué)模型研究

發(fā)布時(shí)間:2018-02-09 08:39

  本文關(guān)鍵詞: 波流共同作用 泥沙數(shù)學(xué)模型 動(dòng)邊界技術(shù) 泥沙源項(xiàng) 出處:《天津大學(xué)》2014年碩士論文 論文類(lèi)型:學(xué)位論文


【摘要】:在河口海岸地區(qū),由于波浪和潮流的綜合作用,泥沙的運(yùn)動(dòng)規(guī)律變得更加復(fù)雜,波流作用下的泥沙運(yùn)動(dòng)仍是當(dāng)前泥沙數(shù)學(xué)模型理論的重點(diǎn)研究?jī)?nèi)容。首先對(duì)波流共同作用下的泥沙數(shù)學(xué)模型、潮流數(shù)值模擬中潮間帶的動(dòng)邊界問(wèn)題和水動(dòng)力學(xué)數(shù)學(xué)模型并行計(jì)算技術(shù)的相關(guān)研究工作進(jìn)行回顧,而后以基于有限體積法建立的COASTALTOOLs數(shù)學(xué)模型為基礎(chǔ),在其二維潮流模塊(2DTC)中考慮波浪的作用,加入泥沙運(yùn)動(dòng)模塊(2DST),建立了泥沙運(yùn)動(dòng)數(shù)學(xué)模型,具體研究工作如下:(1)以原有的COASTALTOOLs模型為基礎(chǔ),將程序中現(xiàn)存的錯(cuò)誤和不合理之處(例如泥沙源項(xiàng)計(jì)算公式、波流統(tǒng)一角度取值標(biāo)準(zhǔn)、數(shù)值計(jì)算中邏輯關(guān)系等)進(jìn)行修正,使模型更加完善;(2)在程序中增加泥沙開(kāi)邊界條件,地形更新,波浪場(chǎng)與SWAN耦合的接口,以及OpenMP并行計(jì)算等,從而可以更加快速合理地求解波流共同作用下的二維潮流數(shù)學(xué)模型和泥沙數(shù)學(xué)模型;(3)在理論方面,改進(jìn)帶有淹沒(méi)度的連續(xù)性方程離散求解過(guò)程,并提出一種新的計(jì)算動(dòng)邊界的方法,即在整個(gè)計(jì)算域中求解時(shí)不區(qū)分干濕單元,控制方程統(tǒng)一求解,使得在干濕交界處干網(wǎng)格和濕網(wǎng)格的物理量計(jì)算更加準(zhǔn)確;(4)通過(guò)對(duì)典型算例的數(shù)值模擬,考察了在不同的水流波浪條件下泥沙運(yùn)動(dòng)的情況,分析不同泥沙源項(xiàng)計(jì)算方法對(duì)流速、波高以及波向的敏感性;通過(guò)對(duì)均勻底坡算例的數(shù)值模擬,考察了改進(jìn)的動(dòng)邊界方法的可行性,以及不同水深條件下潮流、波浪和泥沙相關(guān)物理量的分布趨勢(shì)。
[Abstract]:In estuarine and coastal areas, the movement of sediment becomes more complicated by the combined action of waves and tidal currents. The sediment movement under the action of wave and current is still an important part of the theory of sediment mathematical model. Firstly, the mathematical model of sediment under the action of wave and current is studied. In the numerical simulation of tidal current, the dynamic boundary problem of intertidal zone and the parallel computing technology of hydrodynamic mathematical model are reviewed, and then the COASTALTOOLs mathematical model based on finite volume method is used as the foundation. Considering the action of wave in its two-dimensional tidal current module, the mathematical model of sediment movement is established by adding sediment movement module 2DST. The specific research work is as follows: 1) based on the original COASTALTOOLs model. The existing errors and unreasonableness in the program (such as the calculation formula of sediment source term, the standard of unified angle of wave and current, the logical relation in numerical calculation, etc.) are corrected, so that the model is more perfect and the boundary conditions of sediment opening are added in the program. Topographic update, interface between wave field and SWAN, and parallel computation of OpenMP can be used to solve 2-D tidal current mathematical model and sediment mathematical model under the interaction of wave and current more quickly and reasonably. The discrete solution process of continuous equation with submergence is improved, and a new method to calculate the moving boundary is proposed, that is, the dry and wet elements are not distinguished in the whole calculation domain, and the governing equation is solved uniformly. It makes the calculation of physical quantity of dry grid and wet grid more accurate at the junction of dry and wet. Through the numerical simulation of typical examples, the sediment movement under different current and wave conditions is investigated, and the calculation methods of different sediment source terms are analyzed for the velocity of flow. The feasibility of the improved dynamic boundary method and the distribution trend of tidal current, wave and sediment related physical quantities under different water depth are investigated by numerical simulation of a numerical example of a homogeneous bottom slope.
【學(xué)位授予單位】:天津大學(xué)
【學(xué)位級(jí)別】:碩士
【學(xué)位授予年份】:2014
【分類(lèi)號(hào)】:TV148

【參考文獻(xiàn)】

相關(guān)期刊論文 前10條

1 程文龍;史英標(biāo);吳修廣;;河口水沙數(shù)學(xué)模型的并行化研究[J];人民長(zhǎng)江;2013年15期

2 于守兵;;平面二維非均勻泥沙OpenMP并行計(jì)算模型[J];水利水電科技進(jìn)展;2012年02期

3 李,

本文編號(hào):1497529


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