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Fast Ewald summatio...
Fast Ewald summation for Stokesian particle suspensions
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- af Klinteberg, Ludvig (författare)
- KTH,Numerisk analys, NA,KTH, Sweden
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- Tornberg, Anna-Karin (författare)
- KTH,Numerisk analys, NA,KTH, Sweden
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(creator_code:org_t)
- 2014-09-12
- 2014
- Engelska.
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Ingår i: International Journal for Numerical Methods in Fluids. - : John Wiley & Sons. - 0271-2091 .- 1097-0363. ; 76:10, s. 669-698
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Abstract
Ämnesord
Stäng
- 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.
Ämnesord
- 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)
Nyckelord
- viscous flows
- integral equations
- error estimation
- microfluidics
- multibody dynamics
- spectral
- double layer
- boundary integral
- ewald summation
- Tillämpad matematik och beräkningsmatematik
- Applied and Computational Mathematics
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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