In chapter two , according to n - s equation , considering the couple between liquid and solid , the double - fluid model is used to respectively set up momentum equations of two - phase fluids in condition of basic hypothesis , which are general equations of two - phase fluids . simplifying the equations in boundary layer , the momentum differential equations are required and the boundary conditions are given . in the same time , the simplifying equations and their solutions , in which solid grain satisfies in boundary layer 第二章依据n - s方程，考虑到液、固之间的相间耦合，在基本假设条件下，采用双流体模型，分别建立液、固两相的动量方程，它是固液两相流体的一般方程式；对其在边界层流区内进行量级比较，得到边界层动量微分方程并给出其边界条件，同时也得到固体颗粒在边界层内所满足的简化方程及其解的表达式。
The purpose of this dissertation is to study the lagrangian method and conservative rezonning algorithm . finite volume scheme is used for lagrangian equations of hydrodynamics . because of the pressure gradients " influence upon velocities and energy , computational scheme is proposed for momentum equation on two control volumes in order to suspend the time when the mesh becomes distorted 本文的目的是研究lagrange方法及重映算法，主要内容可分为以下几个方面：首先从积分形式的二维lagrange流体力学方程组出发，用有限体积格式进行计算，考虑压力梯度分布对速度和能量改变的影响，构造了在两个控制体上的动量方程的计算格式，使得速度的改变受其周围八个压力的影响，在一定程度上推迟了网格相交的进程。
Combining the simplified momentum equation , energy equation and state equation of compressible sticky fluid , this paper establishes the numerical model to study the heat - transfer property of the substances in super - critical waterwall tubes with the newest international water and steam standard - iapws - 97 本文采用最新的国际水与水蒸汽标准iapws - 97 ,通过联立求解简化的可压缩黏性流体的动量方程、能量方程和水与水蒸汽的状态方程，建立数值模型研究超临界水冷壁管内工质的传热特性。
A simplified set of equations for analysis of the filling . finite difference methods are used for the pressure calculation . advancement of flow f ront uses a control volume approachand dynamic simulation of the moldfilling process is achieved . other is wetting out process which is the most critical stage in rtm . this stage is a typical porous media flow problem 从粘性流体力学的质量和动量方程出发，建立了描述充模流动过程的数学模型，利用有限差分法求解压力方程，并利用控制体积法跟踪流体前沿；第二部分是充模流动的主体部分，属于典型的多孔介质的流动问题。
Then a one - dimensional unsteady incompressible flow with moving pollutant source model was proposed . the continuity equation , momentum equation and convection - diffusion equation were discredited using finite volume scheme . thus a software for predicting the air velocity and pollutant in railway double track tunnels was developed 接着，根据双线铁路隧道运营通风的特点，建立了一维不可压缩非恒定流和流动污染源的物理模型以及山相应的连续性方程、动量方程和对流扩散方程构成的数学模型；在此基础上，利用数值计算方法，编制了一套双线铁路隧道运营通风的数值计算程序。
Based on flow - varying characteristics of thixotropic casting semisolid alloys , the flowing state of the semisolid alloy under the procedures as filling up the mould by means of thixotropic casting being performed , is simplified to the flow which features in an equal temperature layers 根据触变铸造固态合金的流变特性，将半固态合金在触变铸造充型过程的流动简化为均相等温层流流动，并在此基础上建立了连续方程、动量方程和守恒标量方程，开发了适用于半固态合金触变铸造充型过程的数值模拟系统。
