Convergence of the method of reflections for particle suspensions in Stokes flows

[摘要] We study the convergence of the method of reflections for the Stokes equations in domains perforated by countably many spherical particles with boundary conditions typical for the suspension of rigid particles. We prove that a relaxed version of the method is always convergent in. (H)over dot(1) under a mild separation condition on the particles. Moreover, we prove optimal convergence rates of the method in (W)over dot(1,q), 1 < q < infinity and in L-infinity in terms of the particle volume fraction under a stronger separation condition of the particles. (C) 2021 Elsevier Inc. All rights reserved.

[发布日期] 2021-10-05

[关键词] Method of reflections;Stokes equations;Suspensions;Perforated domain