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Volumn 229, Issue 23, 2010, Pages 8994-9010

Spectrally accurate fast summation for periodic Stokes potentials

Author keywords

Ewald summation; FFT; Potential theory; Spectral accuracy; Stokes equations; Viscous flow

Indexed keywords

CONVOLUTION;

EID: 77956947285     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2010.08.026     Document Type: Article
Times cited : (68)

References (25)
  • 2
    • 84977266737 scopus 로고
    • Die berechnung optischer und elektrostatischer gitterpotentiale
    • Ewald P. Die berechnung optischer und elektrostatischer gitterpotentiale. Ann. Phys. 1921, 64:253-287.
    • (1921) Ann. Phys. , vol.64 , pp. 253-287
    • Ewald, P.1
  • 3
    • 33846823909 scopus 로고
    • Particle mesh Ewald - an N.log(N) method for Ewald sums in large systems
    • Darden T., York D., Pedersen L. Particle mesh Ewald - an N.log(N) method for Ewald sums in large systems. J. Chem. Phys. 1993, 98:10089-10092.
    • (1993) J. Chem. Phys. , vol.98 , pp. 10089-10092
    • Darden, T.1    York, D.2    Pedersen, L.3
  • 5
    • 22244433235 scopus 로고    scopus 로고
    • How to mesh up Ewald sums. I.A theoretical and numerical comparison of various particle mesh routines
    • Deserno M., Holm C. How to mesh up Ewald sums. I.A theoretical and numerical comparison of various particle mesh routines. J. Chem. Phys. 1998, 109:7678-7693.
    • (1998) J. Chem. Phys. , vol.109 , pp. 7678-7693
    • Deserno, M.1    Holm, C.2
  • 6
    • 22944460220 scopus 로고    scopus 로고
    • Gaussian split Ewald: a fast Ewald mesh method for molecular simulation
    • Shan Y., Klepeis J., Eastwood M., Dror R., Shaw D. Gaussian split Ewald: a fast Ewald mesh method for molecular simulation. J. Chem. Phys. 2005, 122.
    • (2005) J. Chem. Phys. , vol.122
    • Shan, Y.1    Klepeis, J.2    Eastwood, M.3    Dror, R.4    Shaw, D.5
  • 7
    • 0000396658 scopus 로고
    • A fast algorithm for particle simulations
    • Greengard L., Rokhlin V. A fast algorithm for particle simulations. J. Comput. Phys 1987, 73:325-348.
    • (1987) J. Comput. Phys , vol.73 , pp. 325-348
    • Greengard, L.1    Rokhlin, V.2
  • 8
    • 37249064654 scopus 로고    scopus 로고
    • A fast multipole method for the three-dimensional Stokes equations
    • Tornberg A.-K., Greengard L. A fast multipole method for the three-dimensional Stokes equations. J. Comput. Phys 2008, 227:1613-1619.
    • (2008) J. Comput. Phys , vol.227 , pp. 1613-1619
    • Tornberg, A.-K.1    Greengard, L.2
  • 9
    • 34249085297 scopus 로고    scopus 로고
    • A parallel fast multipole accelerated integral equation scheme for 3D Stokes equations
    • Wang H., Lei T., Li J., Huang J., Yao Z. A parallel fast multipole accelerated integral equation scheme for 3D Stokes equations. Int. J. Numer. Meth. Eng. 2007, 70:812-839.
    • (2007) Int. J. Numer. Meth. Eng. , vol.70 , pp. 812-839
    • Wang, H.1    Lei, T.2    Li, J.3    Huang, J.4    Yao, Z.5
  • 10
    • 1342286503 scopus 로고    scopus 로고
    • Integral equation methods for Stokes flow in doubly-periodic domains
    • Greengard L., Kropinski M. Integral equation methods for Stokes flow in doubly-periodic domains. J. Eng. Math. 2004, 48:157-170.
    • (2004) J. Eng. Math. , vol.48 , pp. 157-170
    • Greengard, L.1    Kropinski, M.2
  • 11
    • 33750356976 scopus 로고    scopus 로고
    • A high-order 3d boundary integral equation solver for elliptic pdes in smooth domains
    • Ying L.X., Biros G., Zorin D. A high-order 3d boundary integral equation solver for elliptic pdes in smooth domains. J. Comput. Phys 2006, 219:247-275.
    • (2006) J. Comput. Phys , vol.219 , pp. 247-275
    • Ying, L.X.1    Biros, G.2    Zorin, D.3
  • 12
    • 84886764942 scopus 로고
    • On the periodic fundamental solutions of the Stokes equations and their application to viscous flow past a cubic array of spheres
    • Hasimoto H. On the periodic fundamental solutions of the Stokes equations and their application to viscous flow past a cubic array of spheres. J. Fluid Mech. 1959, 5:317-328.
    • (1959) J. Fluid Mech. , vol.5 , pp. 317-328
    • Hasimoto, H.1
  • 13
    • 36549103051 scopus 로고
    • Ewald sum of the Rotne-Prager Tensor
    • Beenakker C.W.J. Ewald sum of the Rotne-Prager Tensor. J. Chem. Phys. 1986, 85:1581-1582.
    • (1986) J. Chem. Phys. , vol.85 , pp. 1581-1582
    • Beenakker, C.W.J.1
  • 14
    • 15844377065 scopus 로고    scopus 로고
    • A smooth particle-mesh Ewald algorithm for Stokes suspension simulations: the sedimentation of fibers
    • Saintillan D., Darve E., Shaqfeh E. A smooth particle-mesh Ewald algorithm for Stokes suspension simulations: the sedimentation of fibers. Phys. Fluids 2005, 17.
    • (2005) Phys. Fluids , vol.17
    • Saintillan, D.1    Darve, E.2    Shaqfeh, E.3
  • 15
    • 0035842089 scopus 로고    scopus 로고
    • Accelerated Stokesian dynamics simulations
    • Sierou A., Brady J. Accelerated Stokesian dynamics simulations. J. Fluid Mech. 2001, 448:115-146.
    • (2001) J. Fluid Mech. , vol.448 , pp. 115-146
    • Sierou, A.1    Brady, J.2
  • 17
    • 0030088283 scopus 로고    scopus 로고
    • Computation of periodic Green's functions of Stokes flow
    • Pozrikidis C. Computation of periodic Green's functions of Stokes flow. J. Eng. Math. 1996, 30:79-96.
    • (1996) J. Eng. Math. , vol.30 , pp. 79-96
    • Pozrikidis, C.1
  • 18
    • 40249116656 scopus 로고    scopus 로고
    • Locally corrected semi-lagrangian methods for stokes flow with moving elastic interfaces
    • Beale J.T., Strain J. Locally corrected semi-lagrangian methods for stokes flow with moving elastic interfaces. J. Comput. Phys 2008, 227:3896-3920.
    • (2008) J. Comput. Phys , vol.227 , pp. 3896-3920
    • Beale, J.T.1    Strain, J.2
  • 19
    • 34248574794 scopus 로고    scopus 로고
    • Locally-corrected spectral methods and overdetermined elliptic systems
    • Strain J. Locally-corrected spectral methods and overdetermined elliptic systems. J. Comput. Phys 2007, 224:1243-1254.
    • (2007) J. Comput. Phys , vol.224 , pp. 1243-1254
    • Strain, J.1
  • 20
    • 0001298453 scopus 로고
    • Fast potential-theory.2. layer potentials and discrete sums
    • Strain J. Fast potential-theory.2. layer potentials and discrete sums. J. Comput. Phys 1992, 99:251-270.
    • (1992) J. Comput. Phys , vol.99 , pp. 251-270
    • Strain, J.1
  • 21
    • 0000527817 scopus 로고
    • Fast fourier-transforms for nonequispaced data
    • Dutt A., Rokhlin V. Fast fourier-transforms for nonequispaced data. SIAM J. Sci. Comput. 1993, 14:1368-1393.
    • (1993) SIAM J. Sci. Comput. , vol.14 , pp. 1368-1393
    • Dutt, A.1    Rokhlin, V.2
  • 22
    • 4944230740 scopus 로고    scopus 로고
    • Accelerating the nonuniform fast fourier transform
    • Greengard L., Lee J. Accelerating the nonuniform fast fourier transform. SIAM Rev. 2004, 46:443-454.
    • (2004) SIAM Rev. , vol.46 , pp. 443-454
    • Greengard, L.1    Lee, J.2
  • 23
    • 67849126626 scopus 로고    scopus 로고
    • A geometric nonuniform fast Fourier transform
    • Sammis I., Strain J. A geometric nonuniform fast Fourier transform. J. Comput. Phys 2009, 228:7086-7108.
    • (2009) J. Comput. Phys , vol.228 , pp. 7086-7108
    • Sammis, I.1    Strain, J.2
  • 24
    • 0001569292 scopus 로고
    • Cutoff errors in the Ewald summation formulas for point-charge systems
    • Kolafa J., Perram J. Cutoff errors in the Ewald summation formulas for point-charge systems. Mol. Simulat. 1992, 9:351-368.
    • (1992) Mol. Simulat. , vol.9 , pp. 351-368
    • Kolafa, J.1    Perram, J.2


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