三角波脉动流通栓的晶格玻尔兹曼方法模型

血液栓塞作为心血管疾病的一大诱因, 其形成机理及外部因素一直是医学、生物物理等领域专家关心的问题. 血栓的形成及其结构复杂多样, 大大增加了治愈血栓的难度. 脉动对于疏通血液栓塞有良好的作用, 而由于血液的黏滞作用以及红细胞的惯性, 脉动流的波形、振幅和频率都会影响通栓的效果. 本文主要基于晶格玻尔兹曼方法, 在栓塞的锥形管中, 用三角波脉动流进行通栓计算, 探索三角波脉动流的波形、压差、频率对血管通栓效果的影响. 计算发现, 低频低压条件下三角波脉动流通栓效果不明显, 而高频条件下通栓效果良好; 适当增加压差, 可以提高能通栓的三角波脉动流的频率.     

用晶格玻尔兹曼方法研究颗粒在涡流中的运动

用晶格玻尔兹曼方法研究小颗粒在涡流中的运动.涡流由流经空腔的流体产生.用动量交换法和压力张量积分法计算颗粒在涡流中的运动轨迹、速度和角速度.最后用张量积分法计算两个不同半径的颗粒在涡流中的运动. 关键词： 晶格玻尔兹曼方法 涡流 颗粒     

用晶格玻尔兹曼方法进行空腔流虚拟实验

用晶格玻尔兹曼方法真实地再现了空腔流稳定流场的形成过程,将复杂系统模拟方法用于大学物理虚拟实验,有效地给学生创设了建构知识的学习环境,很好地解决了实验教学无法实施的问题。     

用格子Boltzmann方法研究螺旋波的控制

采用五速正方格子模型,用格子Boltzmann方法研究螺旋波的控制。在系统中间和边界注入周期性靶波信号驱逐螺旋波,并对两种位置驱逐螺旋波的效果与可操作性进行了讨论。     

用晶格玻尔兹曼方法研究微结构表面的疏水性能

将固体表面分别近似为具有简单的周期性矩形、三角形和半圆形微粗糙结构表面,建立了两相流的晶格玻尔兹曼模型.通过测量不同微粗糙结构表面上液滴的接触角,探讨微结构形状和尺寸的改变对固体材料表面疏水性能的影响.最后,由流体在各种糙壁管中的速度滑移,验证了结论的正确性.     

用晶格玻尔兹曼方法研究血液在分岔管中的栓塞

血液栓塞形成机理一直是学术界研究的热点.本文将以圆形刚性颗粒在分岔管中的运动模拟血液在微血管中的运动,对血液在分岔管中的栓塞现象作了初步研究.重点研究了当血管发生分岔时,血管中血液流速的变化以及血栓形成的概率.得出结论,压积越大越容易发生栓塞,压差越大越不易发生栓塞.分岔管的入口和分岔处最容易发生栓塞.血液经分岔管后,大管中的压积比小管的高.     

粒子在锥形管中运动的晶格玻尔兹曼方法研究

运用晶格玻尔兹曼方法对单个悬浮粒子在锥形管中的运动进行了数值计算, 给出了锥形管流体的速度分布和压力分布等. 粒子所受的流体作用力分别用动量交换法、改进的动量交换法和压力张量积分法进行计算. 分析了在不同初始位置释放的粒子的运动轨迹和速度变化情况, 结果表明压力张量积分法和改进的动量交换法的计算结果一致, 而没有改进的动量交换法的计算结果和前两者略有不同. 关键词： 晶格玻尔兹曼方法 锥形管 悬浮粒子 改进的动量交换法     

脉动流血液通栓的晶格玻尔兹曼模型

本文把血浆看为水,红细胞当作密度为水的悬浮刚性小球,模拟脉动流在锥形管的中的通栓.首先在一定的压积和压差下,在锥形管中产生稳定的栓塞,然后用脉动流来通栓.改变脉动流的频率研究脉动流通栓的条件.     

脉动流在分叉管中通栓效果的晶格玻尔兹曼方法研究

血栓引发的各种心血管疾病一直威胁着人们的健康. 在已经产生血栓的血管中, 脉动对于疏通血管有良好的作用. 由于血液的黏滞作用以及红细胞的惯性, 脉动流的频率会影响血管通栓的效果. 在分叉管模型中, 低压差的条件下, 由于另一畅通管子的导通作用减少了回流, 导致通栓效果不理想. 通过增大压差和提高脉动流的振幅, 降低畅通管子导通作用的影响, 研究脉动流在分叉管中的通栓效果. 研究发现, 脉动低频通栓效果好, 但是通栓需要的时间较长; 高频通栓时间短, 但是当频率高于一定值, 则通栓效果不明显. 细胞和管壁的摩察系数对通栓效果也有影响.     

基于晶格玻尔兹曼方法研究不同出口压力条件下淋巴管内氮含量的变化及影响

淋巴系统是人体内重要的防御功能系统,具有三大免疫功能,首先是能够抵御细菌病毒,使人体免于疾病的攻击;其次是由淋巴细胞加以辅助,清除由新陈代谢而出的产物;最后是由淋巴细胞来修补受损的器官与组织,使其恢复正常的生理功能。淋巴系统没有像血液循环系统中心脏一样的动力泵,淋巴液的驱动主要靠淋巴管的自主收缩来完成(肺淋巴系统是靠肺泡的运动)。淋巴管的自主收缩循环是由淋巴肌细胞内钙离子增加产生收缩,收缩驱动流体产生剪切力,剪切力使淋巴内皮细胞产生一氧化氮合酶(eNOS),一氧化氮合酶使一氧化氮增加,一氧化氮的增加降低钙离子使淋巴管松弛,淋巴管松弛后流体剪切率下降,eNOS下降,一氧化氮下降,钙离子增加,淋巴肌细胞收缩,开始新的周期。可见一氧化氮的浓度及其分布对淋巴管的收缩起关键作用。显然出口压力会影响淋巴管内流体的剪切率,进而影响一氧化氮的浓度和淋巴管的收缩。为了研究淋巴管出口压力对淋巴管收缩的影响,建立了一个晶格玻尔兹曼模型,模拟嵌入多孔组织的初始淋巴管和有两对瓣膜的集合淋巴管,该模型可以重现一氧化氮、钙的相互影响以及淋巴管的自主收缩,并研究不同出口压力下一氧化氮的分布及其平均值.     

Lattice Boltzmann Simulation for the Spiral Wave Dynamics

We investigated the dynamics of the simple spiral waves of the Se/kov reaction-diffusion system with the Lattice Boltzmann method. The results of computer simulation lead to the conclusion that the trajectory of the spiral tip is a small circle, the wavelength and the period decay exponentially when the value of parameter b increases; and the relation between the wavelength and the period is λ ∝ T1/2, which is qualitatively the same as that obtained by Ou-Yang Qi from Belousov-Zhabotinsky reaction system.     

激励介质中非线性化学波的格子Boltzmann模型

构造了用于非线性化学波的格子Boltzmann模型.通过设置无对流速度场,使用多重尺度和Chapman Enskog展开,得到了平衡态分布函数的各向同性解.算例考虑了用划痕起搏,在ε²尺度上给出了Selkov系统的模拟结果,再现了远离热力学平衡态的螺旋波结构的经典结果,并与传统数值方法及实验结果进行了比较.     

Lattice Boltzmann simulation for the energy and entropy of excitable systems

The internal energy and the spatiotemporal entropy of excitable systems are investigated with the lattice Boltzmann method.The numerical results show that the breakup of spiral wave is attributed to the inadequate supply of energy,i.e.,the internal energy of system is smaller than the energy of self-sustained spiral wave.It is observed that the average internal energy of a regular wave state reduces with its spatiotemporal entropy decreasing.Interestingly,although the energy difference between two regular wave states is very small,the different states can be distinguished obviously due to the large difference between their spatiotemporal entropies.In addition,when the unstable spiral wave converts into the spatiotemporal chaos,the internal energy of system decreases,while the spatiotemporal entropy increases,which behaves as the thermodynamic entropy in an isolated system.     

Lattice Boltzmann method with the cell-population equilibrium

The central problem of the lattice Boltzmann method (LBM) is to construct a discrete equilibrium. In this paper, a multi-speed 1D cell-model of Boltzmann equation is proposed, in which the cell-population equilibrium, a direct non-negative approximation to the continuous Maxwellian distribution, plays an important part. By applying the explicit one-order Chapman--Enskog distribution, the model reduces the transportation and collision, two basic evolution steps in LBM, to the transportation of the non-equilibrium distribution. Furthermore, 1D dam-break problem is performed and the numerical results agree well with the analytic solutions.     

Lattice Boltzmann method with the cell-population equilibrium

The central problem of the lattice Boltzmann method （LBM） is to construct a discrete equilibrium. In this paper, a multi-speed 1D cell-model of Boltzmann equation is proposed, in which the cell-population equilibrium, a direct non- negative approximation to the continuous Maxwellian distribution, plays an important part. By applying the explicit one-order Chapman-Enskog distribution, the model reduces the transportation and collision, two basic evolution steps in LBM, to the transportation of the non-equilibrium distribution. Furthermore, 1D dam-break problem is performed and the numerical results agree well with the analytic solutions.     

Lattice Boltzmann method for three-dimensional moving particles in a Newtonian fluid

A lattice Boltzmann method is developed to simulate three-dimensional solid particle motions in fluids. In the present model, a uniform grid is used and the exact spatial location of the physical boundary of the suspended particles is determined using an interpolation scheme. The numerical accuracy and efficiency of the proposed lattice Boltzmann method is demonstrated by simulating the sedimentation of a single sphere in a square cylinder. Highly accurate simulation results can be achieved with few meshes, compared with the previous lattice Boltzmann methods. The present method is expected to find applications on the flow systems with moving boundaries, such as the blood flow in distensible vessels, the particle－flow interaction and the solidification of alloys.     

Extended Lattice Boltzmann Model

Conventional lattice Boltzmann models for the simulation of fluid dynamics are restricted by an error in the stress tensor that is negligible only for small flow velocity and at a singular value of the temperature. To that end, we propose a unified formulation that restores Galilean invariance and the isotropy of the stress tensor by introducing an extended equilibrium. This modification extends lattice Boltzmann models to simulations with higher values of the flow velocity and can be used at temperatures that are higher than the lattice reference temperature, which enhances computational efficiency by decreasing the number of required time steps. Furthermore, the extended model also remains valid for stretched lattices, which are useful when flow gradients are predominant in one direction. The model is validated by simulations of two- and three-dimensional benchmark problems, including the double shear layer flow, the decay of homogeneous isotropic turbulence, the laminar boundary layer over a flat plate and the turbulent channel flow.     

Test of the Possible Application of the Half—Way Bounce—Back Boundary Condition for Lattice Boltzmann Methods in Complex Geometry

The way of handling boundary conditions with simple bounce-back rule in the lattice gas and lattice Boltzmann method had been considered as one of the advantage compared with other numerical schemes,The half-way bounce-back rule inherits the advantage of the bounce-back rule and improves the accuracy to the second-order on flat boundaries,In this paper,we test the possible application of the half-way bounce-back rule to the system with complex geometry,Our simulation results show that the half-way bounce-back rule is a good boundary condition in the problems without emphasis on accuracy.     

格子Boltzmann方法模拟自然对流作用下融化传热过程

建立自然对流作用下融化的格子Boltzmann双分布函数模型,根据非线性对流扩散方程的格子Boltzmann模型理论提出一个新的表征融化温度场的分布函数演化方程,并通过变松弛时间方法处理固液两相变热物性传热问题.应用模型对热传导融化及自然对流融化特别固液变热物的融化过程进行模拟.模拟结果与分析解、经典的关联式结果吻合较好,模型的正确性得到了验证.模拟结果表明,自然对流对融化传热过程有着重要的影响,此外固相热传导也对融化传热、融化速率及固液两相温度分布都有一定影响.     

一个三维多松弛时间全速域格子Boltzmann模型

构建一个既适用于低速不可压流体又适用于高速可压缩流体的三维自由参数多松弛时间格子Boltzmann模型.模型中,根据SO（3）群的不可约表述基函数构造转化矩阵,根据恢复可压Navier-Stokes方程的需要选取非守恒矩平衡值.通过von Neumann稳定性分析模型参数对数值稳定性的影响,并给出建议选择范围.模型经过基准问题的验证,模拟结果与解析解及其它数值结果符合较好.