Fast Ewald summation for Stokesian particle suspensions

QC 20141119
We present a numerical method for suspensions of spheroids of arbitrary aspect ratio, which sediment under gravity. The method is based on a periodized boundary integral formulation using the Stokes double layer potential. The resulting discrete system is solved iteratively using generalized minimal residual accelerated by the spectral Ewald method, which reduces the computational complexity to O(N log N), where N is the number of points used to discretize the particle surfaces. We develop predictive error estimates, which can be used to optimize the choice of parameters in the Ewald summation. Numerical tests show that the method is well conditioned and provides good accuracy when validated against reference solutions.

TEKNIK OCH TEKNOLOGIER Maskinteknik Strömningsmekanik och akustik hsv//swe
ENGINEERING AND TECHNOLOGY Mechanical Engineering Fluid Mechanics and Acoustics hsv//eng
NATURVETENSKAP Matematik Beräkningsmatematik hsv//swe
NATURAL SCIENCES Mathematics Computational Mathematics hsv//eng
viscous flows
integral equations
error estimation
microfluidics
multibody dynamics
spectral
double layer
boundary integral
ewald summation
Tillämpad matematik och beräkningsmatematik
Applied and Computational Mathematics

Tornberg, Anna-KarinKTH,Numerisk analys, NA,KTH, Sweden(Swepub:kth)u1j23w1s (författare)
KTHNumerisk analys, NA (creator_code:org_t)

Ingår i:International Journal for Numerical Methods in Fluids: John Wiley & Sons76:10, s. 669-6980271-20911097-0363

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