Asymptotically proved numerical coupling of a 2D flexural porous plate with the 3D Stokes fluid

Autor: Krier, Maxime, Orlik, Julia, Panasenko, Grigory, Steiner, Konrad
Rok vydání: 2023
Předmět:
Druh dokumentu: Working Paper
Popis: This paper presents an efficient coupling of the 3D Stokes flow interacting with an effective perforated periodic heterogeneous anisotropic 2D plate. The effective model was obtained by the asymptotic analysis in earlier works and here an effective numerical algorithm is given. By $Q_3$ or bi-cubic spacial interpolation the time-dependent problem was reduced to an algebraic system of ordinary differential equation in time. Different examples were given, demonstrating the influence of the structural plate parameters on the solution.
Databáze: arXiv