Kaoui Badr
Biomechanics and Bioengineering Laboratory, Université de Technologie de Compiègne, CNRS, 60200, Compiègne, France.
Eur Phys J E Soft Matter. 2020 Apr 21;43(4):23. doi: 10.1140/epje/i2020-11947-x.
An algorithm is proposed to implement unsteady jump boundary conditions in the lattice Boltzmann method (LBM). This is useful for dealing with problems of mass transfer across membranes that exhibit resistance and discontinuity in concentration. The algorithm is simple to implement into an existing LBM-based code that computes diffusion and advection of a solute. Analytical solutions are recovered in the limiting case of a planar membrane. When combined with the immersed boundary method, the algorithm can handle moving deformable boundaries that adopt arbitrary geometries. Simulations of controlled solute release from stationary rigid and moving deformable particles are given as a proof of concept.
提出了一种算法，用于在格子玻尔兹曼方法（LBM）中实现非稳态跳跃边界条件。这对于处理跨膜传质问题很有用，这类问题在浓度上表现出阻力和不连续性。该算法易于在现有的基于LBM的代码中实现，该代码用于计算溶质的扩散和平流。在平面膜的极限情况下可以得到解析解。当与浸入边界法相结合时，该算法可以处理具有任意几何形状的移动可变形边界。给出了从固定刚性和移动可变形颗粒中控制溶质释放的模拟，作为概念验证。
