A fast integral equation method for solid particles in viscous flow using quadrature by expansion

af Klinteberg, LudvigKTH,Numerisk analys, NA,Linné Flow Center, FLOW,SeRC - Swedish e-Science Research Centre,KTH, Sweden (author)

QC 20161118
Boundary integral methods are advantageous when simulating viscous flow around rigid particles, due to the reduction in number of unknowns and straightforward handling of the geometry. In this work we present a fast and accurate framework for simulating spheroids in periodic Stokes flow, which is based on the completed double layer boundary integral formulation. The framework implements a new method known as quadrature by expansion (QBX), which uses surrogate local expansions of the layer potential to evaluate it to very high accuracy both on and off the particle surfaces. This quadrature method is accelerated through a newly developed precomputation scheme. The long range interactions are computed using the spectral Ewald (SE) fast summation method, which after integration with QBX allows the resulting system to be solved in M log M time, where M is the number of particles. This framework is suitable for simulations of large particle systems, and can be used for studying e.g. porous media models.

Tornberg, Anna-KarinKTH,Numerisk analys, NA,Linné Flow Center, FLOW,SeRC - Swedish e-Science Research Centre,KTH, Sweden(Swepub:kth)u1j23w1s (author)
KTHNumerisk analys, NA (creator_code:org_t)

In:Journal of Computational Physics: Academic Press326, s. 420-4450021-99911090-2716

About the subject

Kungliga biblioteket hanterar dina personuppgifter i enlighet med EU:s dataskyddsförordning (2018), GDPR. Läs mer om hur det funkar här.
Så här hanterar KB dina uppgifter vid användning av denna tjänst.