Mendoza M, Wittel F K, Herrmann H J
ETH Zurich, Institute for Building Materials, Switzerland.
Eur Phys J E Soft Matter. 2010 Aug;32(4):339-48. doi: 10.1140/epje/i2010-10629-8. Epub 2010 Aug 4.
We propose a description for transient penetration simulations of miscible and immiscible fluid mixtures into anisotropic porous media, using the lattice Boltzmann (LB) method. Our model incorporates hydrodynamic flow, advection-diffusion, surface tension, and the possibility for global and local viscosity variations to consider various types of hardening fluids. The miscible mixture consists of two fluids, one governed by the hydrodynamic equations and one by advection-diffusion equations. We validate our model on standard problems like Poiseuille flow, the collision of a drop with an impermeable, solid interface and the deformation of the fluid due to surface tension forces. To demonstrate the applicability to complex geometries, we simulate the invasion process of mixtures into wood spruce samples.
我们提出了一种使用格子玻尔兹曼（LB）方法对互溶和不互溶流体混合物瞬态渗透到各向异性多孔介质中的模拟描述。我们的模型纳入了流体动力学流动、平流扩散、表面张力以及全局和局部粘度变化的可能性，以考虑各种类型的硬化流体。互溶混合物由两种流体组成，一种由流体动力学方程控制，另一种由平流扩散方程控制。我们在诸如泊肃叶流、液滴与不可渗透固体界面的碰撞以及由于表面张力引起的流体变形等标准问题上验证了我们的模型。为了证明其对复杂几何形状的适用性，我们模拟了混合物侵入云杉木样本的过程。
