本文選題：格子Boltzmann方法 + 定向粒子��； 參考：《山東大學》2012年碩士論文

【摘要】：作為給機體組織傳輸氧氣的主要途徑,紅細胞在所有脊椎動物和一些非脊椎動物中扮演者非常重要的角色,從生物角度上看,一個健康的人類紅細胞常態(tài)下是雙凹面蝶形的液態(tài)膠囊狀,最大直徑接近于毛細血管的直徑。當紅細胞穿過毛細血管的時候會遭遇血流的阻力,從而導致紅細胞發(fā)生形變。紅細胞變形功能是否正常直接與一些血液疾病相關(guān),因此,研究毛細血管微循環(huán)中紅細胞的運動與變形,揭示紅細胞運動行為的機理,可以為相關(guān)的血液疾病提供非常有價值的理論知識。 一方面,本文總結(jié)了微循環(huán)中紅細胞機械行為研究的很多經(jīng)驗、理論以及數(shù)值方法。根據(jù)毛細血管微循環(huán)的特殊性,對各種數(shù)值方法的優(yōu)、缺點進行分析對比。提出了一種格子Boltzmann方法與水平集方法相結(jié)合的數(shù)值方法對毛細血管微循環(huán)血流模擬仿真,并詳細論述了該數(shù)值方法的原理,驗證了該方法的合理性與高效性。 另一方而,通過仿真實驗得到的數(shù)據(jù),分析了血流的各種基本量對紅細胞運動變形的影響,如紅細胞半徑、粘滯度和密度等,觀察了紅細胞的聚合與離散行為,得出毛細血管微循環(huán)血流中紅細胞在不同血液流體環(huán)境中運動變形的相關(guān)結(jié)論。 在本文的仿真中,將毛細血管壁模擬為剛性直圓管,紅細胞模擬為內(nèi)含不可壓縮的牛頓流體的雙凹面碟形彈性薄膜膠囊,毛細血管微循環(huán)血流環(huán)境模擬為具有不同性質(zhì)、不可壓縮的單相流體,并且該單相流的流動狀態(tài)為層流,滿足邊界無滑移條件。本文使用Navier-Stokes方程作為運動控制方程,并在微觀上使用格子Boltzmann方程描述其運動。另外,本文將利用定向粒子修正的局部水平集方法追蹤由流體性質(zhì)不連續(xù)而存在邊界。將格子Boltzmann方法與水平集方法結(jié)合起來,模擬紅細胞在毛細血管微循環(huán)中運動,為紅細胞在毛細血管微循環(huán)中的運動的研究和與紅細胞有關(guān)的臨床醫(yī)學提供了理論參考。
[Abstract]:Red blood cells play a very important role in all vertebrates and some non-vertebrates as the main way to transport oxygen to the body's tissues, from a biological point of view. A healthy human red blood cell is normally a double concave butterfly-shaped liquid capsule with a maximum diameter close to the diameter of the capillaries. When red blood cells pass through capillaries, they encounter resistance to blood flow, which causes red blood cells to deform. Whether the function of erythrocyte deformability is normal is directly related to some blood diseases. Therefore, to study the movement and deformation of red blood cells in capillary microcirculation and to reveal the mechanism of erythrocyte movement behavior, It can provide valuable theoretical knowledge for related blood diseases. On the one hand, this paper summarizes many experiences, theories and numerical methods in the study of erythrocyte mechanical behavior in microcirculation. According to the particularity of capillary microcirculation, the advantages and disadvantages of various numerical methods are analyzed and compared. In this paper, a numerical simulation method of capillary microcirculation is presented, which combines the lattice Boltzmann method and the level set method. The principle of the numerical method is discussed in detail, and the rationality and efficiency of the method are verified. On the other hand, through the data obtained from the simulation experiment, the effects of various basic blood flow quantities on the erythrocyte movement deformation, such as the red blood cell radius, viscosity and density, were analyzed, and the aggregation and dispersion behavior of the red blood cells were observed. The conclusion of the red blood cell movement and deformation in different blood fluid environment in capillary microcirculation is obtained. In the simulation of this paper, the capillary wall is simulated as a rigid straight tube, the red blood cell is simulated as a double concave disc elastic film capsule containing incompressible Newtonian fluid, and the blood flow environment of capillary microcirculation is simulated as having different properties. The incompressible single-phase fluid, and the flow state of the single-phase flow is laminar, satisfying the boundary non-slip condition. In this paper, the Navier-Stokes equation is used as the governing equation of motion, and the lattice Boltzmann equation is used to describe the motion of the equation. In addition, the local level set method modified by directional particles will be used to trace the existence of boundary due to discontinuity of fluid properties. The lattice Boltzmann method is combined with the level set method to simulate the movement of red blood cells in capillary microcirculation, which provides a theoretical reference for the study of the movement of red blood cells in capillary microcirculation and the clinical medicine related to red blood cells.
【學位授予單位】：山東大學
【學位級別】：碩士
【學位授予年份】：2012
【分類號】：R312

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本文編號：1927434