Fully coupled generalised hybrid-mixed finite element approximation of two-phase two-component flow in porous media. Part II: numerical scheme and numerical results
Fully coupled generalised hybrid-mixed finite element approximation of two-phase two-component flow in porous media. Part II: numerical scheme and numerical results
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多孔介质中两相二组分流的全耦合广义混合混合有限元近似第二部分：数值方案和数值结果
DOI：
10.1007/s10596-012-9279-1
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发表时间：
2012
影响因子：
2.5
通讯作者：
Peter Knabner
中科院分区：
文献类型：
--
作者：
Estelle Marchand;Torsten M¨ ller;Peter Knabner
本文研究了多孔介质中组分两相流的建模与仿真问题，其中一相可以消失或出现。Marchand等人的建模（综述中）导致两个守恒方程的非线性系统。每个守恒方程包含几个非线性扩散项，一般不能写成两个主要未知量梯度的函数。此外，扩散系数不一定是它们的显式局部函数。对于广义混合有限元近似，拉格朗日乘子与每个主要未知被引入，每个组件的扩散通量的总和被明确消除和静态凝聚导致一个“全球”的非线性方程组，只有在拉格朗日乘子还包括互补条件，以科普消失或出现的阶段。在时间离散化之后，可以使用半光滑牛顿法在每个时间步长处求解该系统。静态凝聚涉及与每个元素相关联的“局部”非线性方程组，也通过半光滑牛顿法求解。该算法已成功地应用于一维和二维的水-氢流动的气相出现和消失的例子。
We consider the modeling and simulation of compositional two-phase flow in a porous medium, where one phase is allowed to vanish or appear. The modeling of Marchand et al. (in review) leads to a nonlinear system of two conservation equations. Each conservation equation contains several nonlinear diffusion terms, which in general cannot be written as a function of the gradients of the two principal unknowns. Also the diffusion coefficients are not necessarily explicit local functions of them. For the generalised mixed finite elements approximation, Lagrange multipliers associated to each principal unknown are introduced, the sum of the diffusive fluxes of each component is explicitly eliminated and the static condensation leads to a “global” nonlinear system of equations only in the Lagrange multipliers also including complementarity conditions to cope with vanishing or appearing phases. After time discretisation, this system can be solved at each time step using a semi-smooth Newton method. The static condensation involves “local” nonlinear systems of equations associated to each element, solved also by a semismooth Newton method. The algorithm is successfully applied to 1D and 2D examples of water–hydrogen flow involving gas phase appearance and disappearance.
影响因子：
3.9
作者：
C. Wieners
通讯作者：
C. Wieners
线性迭代求解器的一种新的预处理概念:隐式误差修正法和隐式修正多重网格法
DOI：
--
发表时间：
2007
期刊：
影响因子：
--
作者：
岩下武史;美舩健;島崎眞昭;高橋康人;石田智之;廣谷迪;増子拓也;美舩健;高橋康人;高橋康人;岩下武史;岩下武史;高橋康人;高橋康人;守口聡一;荒井宗範;岩下武史;美舩健;荒井宗範;Takeshi Iwashita
通讯作者：
Takeshi Iwashita
地质库存概念评估的数学和数值开发
DOI：
--
发表时间：
2009
期刊：
影响因子：
--
作者：
Farid Smaï
通讯作者：
Farid Smaï