2020/06/22 by Elissa Eggenweiler, Iryna Rybak, Eggenweiler, Elissa +1 · 1 citation
Computer Science · Engineering · #35Q35 #76D07 #76M10 #76M50 #76S05 #Advanced Mathematical Modeling in Engineering #Advanced Numerical Methods in Computational Mathematics #FOS: Mathematics #Lattice Boltzmann Simulation Studies #Numerical Analysis (math.NA)
paper · pdf · doi:10.48550/arxiv.2006.12096
openalex publication_date 2020/06/22 · openalex created_date 2022/07/26 · openalex updated_date 2026/07/28
Boundary conditions at the interface between the free-flow region and the\nadjacent porous medium is a key issue for physically consistent modeling and\naccurate numerical simulation of flow and transport processes in coupled\nsystems due to the interface driven nature of such processes. Interface\nconditions available in the literature have several weak points: most of them\nare suitable only for flows parallel to the fluid-porous interface, some are\nrestricted to specific boundary value problems, and others contain unknown\nmodel parameters which still need to be determined. These facts severely\nrestrict the variety of applications that can be successfully modeled. We\npropose new interface conditions which are valid for arbitrary flow directions.\nThese coupling conditions are rigorously derived using the theory of\nhomogenization and boundary layers. All effective parameters appearing in these\nconditions are computed numerically based on the geometrical configuration of\nthe coupled system. The developed conditions are validated by comparison of\nnumerical simulation results for the coupled Stokes-Darcy model and the\npore-scale resolved model. In addition, the new interface conditions are\ncompared with the classical conditions to demonstrate the advantage of the\nproposed conditions.\n