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Volumn 230, Issue 22, 2011, Pages 8256-8274

Physalis method for heterogeneous mixtures of dielectrics and conductors: Accurately simulating one million particles using a PC

Author keywords

Accuracy, efficiency, and convergence rate; Cage; Complex geometry; Discontinuous boundary conditions; Heterogeneous mixtures of dielectrics and conductors; Immersed Boundary Method; O(N) method; One million particles; Physalis method; Second order accuracy; Spectral general analytical solution; Spectral method; Spectrally accurate; Spectrally convergent

Indexed keywords

BOUNDARY CONDITIONS; COMPUTATIONAL CHEMISTRY; COMPUTATIONAL FLUID DYNAMICS; DIELECTRIC MATERIALS; ELECTRIC FIELDS; NUMERICAL METHODS; TURBULENT FLOW;

EID: 80052671754     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2011.07.024     Document Type: Article
Times cited : (17)

References (59)
  • 1
    • 23044460081 scopus 로고    scopus 로고
    • A second-order method for three-dimensional particle simulation
    • Zhang Z., Prosperetti A. A second-order method for three-dimensional particle simulation. J. Comput. Phys. 2005, 210:292-324.
    • (2005) J. Comput. Phys. , vol.210 , pp. 292-324
    • Zhang, Z.1    Prosperetti, A.2
  • 3
    • 69649098342 scopus 로고    scopus 로고
    • Pressure-driven flow in a two-dimensional channel with porous walls
    • Zhang Q., Prosperetti A. Pressure-driven flow in a two-dimensional channel with porous walls. J. Fluid Mech. 2009, 631:1-21.
    • (2009) J. Fluid Mech. , vol.631 , pp. 1-21
    • Zhang, Q.1    Prosperetti, A.2
  • 5
    • 77952477833 scopus 로고    scopus 로고
    • Wall effects on a rotating sphere
    • Liu Q., Prosperetti A. Wall effects on a rotating sphere. J. Fluid Mech. 2010, 657:1-21.
    • (2010) J. Fluid Mech. , vol.657 , pp. 1-21
    • Liu, Q.1    Prosperetti, A.2
  • 6
    • 77951483572 scopus 로고    scopus 로고
    • Interaction between a solid particle and a turbulent flow
    • Naso A., Prosperetti A. Interaction between a solid particle and a turbulent flow. New J. Phys. 2010, 12:033040.
    • (2010) New J. Phys. , vol.12 , pp. 033040
    • Naso, A.1    Prosperetti, A.2
  • 7
    • 80052154289 scopus 로고    scopus 로고
    • Pressure-driven flow in a channel with porous walls
    • Liu Q., Prosperetti A. Pressure-driven flow in a channel with porous walls. J. Fluid Mech. 2011, 679:77-100.
    • (2011) J. Fluid Mech. , vol.679 , pp. 77-100
    • Liu, Q.1    Prosperetti, A.2
  • 9
    • 0035371307 scopus 로고    scopus 로고
    • A micro-mechanics model for imperfect interface in dielectric materials
    • Fan H., Sze K.Y. A micro-mechanics model for imperfect interface in dielectric materials. Mech. Mater. 2001, 33:363-370.
    • (2001) Mech. Mater. , vol.33 , pp. 363-370
    • Fan, H.1    Sze, K.Y.2
  • 10
    • 0031188289 scopus 로고    scopus 로고
    • Maxwell Garnett and Bruggeman formalisms for a particulate composite with bianisotropic host medium
    • Weiglhofer W.S., Lakhtakia A., Michel B. Maxwell Garnett and Bruggeman formalisms for a particulate composite with bianisotropic host medium. Microw. Opt. Technol. Lett. 1998, 15:263266.
    • (1998) Microw. Opt. Technol. Lett. , vol.15 , pp. 263266
    • Weiglhofer, W.S.1    Lakhtakia, A.2    Michel, B.3
  • 11
    • 33749560184 scopus 로고
    • Percolation and conduction
    • Kirkpatrick S. Percolation and conduction. Rev. Mod. Phys. 1973, 45:574588.
    • (1973) Rev. Mod. Phys. , vol.45 , pp. 574588
    • Kirkpatrick, S.1
  • 14
    • 80052680909 scopus 로고    scopus 로고
    • Heterogeneous materials i and heterogeneous materials ii
    • Knowles K.M. Heterogeneous materials i and heterogeneous materials ii. J. Phys. A: Math. Gen. 2004, 37:1950.
    • (2004) J. Phys. A: Math. Gen. , vol.37 , pp. 1950
    • Knowles, K.M.1
  • 15
    • 0346837922 scopus 로고    scopus 로고
    • A non-oscillatory eulerian approach to interfaces in multimaterial flows (the ghost fluid method)
    • Fedkiw R., Aslam T., Merriman B., Osher S. A non-oscillatory eulerian approach to interfaces in multimaterial flows (the ghost fluid method). J. Comput. Phys. 1999, 152:457-492.
    • (1999) J. Comput. Phys. , vol.152 , pp. 457-492
    • Fedkiw, R.1    Aslam, T.2    Merriman, B.3    Osher, S.4
  • 16
    • 0001491689 scopus 로고    scopus 로고
    • A boundary condition capturing method for poisson's equation on irregular domain
    • Liu X., Fedkiw R., Kang M. A boundary condition capturing method for poisson's equation on irregular domain. J. Comput. Phys. 2000, 160:151-178.
    • (2000) J. Comput. Phys. , vol.160 , pp. 151-178
    • Liu, X.1    Fedkiw, R.2    Kang, M.3
  • 17
    • 0037050814 scopus 로고    scopus 로고
    • A second-order-accurate symmetric discretization of the poisson equation on irregular domains
    • Gibou F., Fedkiw R.P., Cheng L.T., Kang M. A second-order-accurate symmetric discretization of the poisson equation on irregular domains. J. Comput. Phys. 2002, 176:205-227.
    • (2002) J. Comput. Phys. , vol.176 , pp. 205-227
    • Gibou, F.1    Fedkiw, R.P.2    Cheng, L.T.3    Kang, M.4
  • 18
    • 10244254997 scopus 로고    scopus 로고
    • A numerical method for solving variable coefficient elliptic equation with interface
    • Hou S., Liu X. A numerical method for solving variable coefficient elliptic equation with interface. J. Comput. Phys. 2005, 202:411-445.
    • (2005) J. Comput. Phys. , vol.202 , pp. 411-445
    • Hou, S.1    Liu, X.2
  • 19
    • 0028485385 scopus 로고
    • The immersed interface method for elliptic equations with discontinuous coefficients and singular sources
    • LeVeque R.J., Li Z. The immersed interface method for elliptic equations with discontinuous coefficients and singular sources. SIAM J. Numer. Anal. 1994, 31:1019-1044.
    • (1994) SIAM J. Numer. Anal. , vol.31 , pp. 1019-1044
    • LeVeque, R.J.1    Li, Z.2
  • 20
    • 0037285958 scopus 로고    scopus 로고
    • Three-dimensional elliptic solvers for interface problems and applications
    • Deng S., Ito K., Li Z. Three-dimensional elliptic solvers for interface problems and applications. J. Comput. Phys. 2003, 184:215-243.
    • (2003) J. Comput. Phys. , vol.184 , pp. 215-243
    • Deng, S.1    Ito, K.2    Li, Z.3
  • 21
    • 0031185285 scopus 로고    scopus 로고
    • A hybrid method for moving interface problems with application to the hele-shaw flow
    • Hou T.Y., Li Z., Osher S., Zhao H. A hybrid method for moving interface problems with application to the hele-shaw flow. J. Comput. Phys. 1997, 134:236-252.
    • (1997) J. Comput. Phys. , vol.134 , pp. 236-252
    • Hou, T.Y.1    Li, Z.2    Osher, S.3    Zhao, H.4
  • 22
    • 0037246341 scopus 로고    scopus 로고
    • The immersed interface/multigrid methods for interface problems
    • Adams L., Li Z. The immersed interface/multigrid methods for interface problems. SIAM J. Sci. Comput. 2002, 24:463-479.
    • (2002) SIAM J. Sci. Comput. , vol.24 , pp. 463-479
    • Adams, L.1    Li, Z.2
  • 23
    • 1842511702 scopus 로고    scopus 로고
    • An immersed interface method for solving anisotropic elliptic boundary value problems in three dimensions
    • Dumett M.A., Keener J.P. An immersed interface method for solving anisotropic elliptic boundary value problems in three dimensions. SIAM J. Sci. Comput. 2003, 25:348-367.
    • (2003) SIAM J. Sci. Comput. , vol.25 , pp. 348-367
    • Dumett, M.A.1    Keener, J.P.2
  • 24
    • 21444439361 scopus 로고    scopus 로고
    • A finite element method for interface problems in domains with smooth boundaries and interfaces
    • Bramble J., King J. A finite element method for interface problems in domains with smooth boundaries and interfaces. Adv. Comput. Math. 1996, 6:109-138.
    • (1996) Adv. Comput. Math. , vol.6 , pp. 109-138
    • Bramble, J.1    King, J.2
  • 25
    • 0032396367 scopus 로고    scopus 로고
    • Finite element methods and their convergence for elliptic and parabolic interface problems
    • Chen Z., Zou J. Finite element methods and their convergence for elliptic and parabolic interface problems. Numer. Math. 1998, 79:175-202.
    • (1998) Numer. Math. , vol.79 , pp. 175-202
    • Chen, Z.1    Zou, J.2
  • 26
    • 0742271742 scopus 로고    scopus 로고
    • New cartesian grid methods for interface problems using finite element formulation
    • Li Z., Lin T., Wu X. New cartesian grid methods for interface problems using finite element formulation. Numer. Math. 2003, 96:61-98.
    • (2003) Numer. Math. , vol.96 , pp. 61-98
    • Li, Z.1    Lin, T.2    Wu, X.3
  • 27
    • 64049100257 scopus 로고    scopus 로고
    • An efficient finite element method for embedded interface problems
    • Dolbow J., Harari I. An efficient finite element method for embedded interface problems. Int. J. Numer. Methods Eng. 2009, 78:229-252.
    • (2009) Int. J. Numer. Methods Eng. , vol.78 , pp. 229-252
    • Dolbow, J.1    Harari, I.2
  • 28
    • 77956605824 scopus 로고    scopus 로고
    • A new multiscale finite element method for high-constrast elliptic interface problems
    • Chu C.C., Graham I.G., Hou T.Y. A new multiscale finite element method for high-constrast elliptic interface problems. Math. Comput. 2010, 79:1915-1955.
    • (2010) Math. Comput. , vol.79 , pp. 1915-1955
    • Chu, C.C.1    Graham, I.G.2    Hou, T.Y.3
  • 29
    • 33750614424 scopus 로고    scopus 로고
    • A cartesian grid finite volume method for elliptic equations with variable coefficients and embedded interafces
    • Oevermann M., Klein R. A cartesian grid finite volume method for elliptic equations with variable coefficients and embedded interafces. J. Comput. Phys. 2006, 219:749-769.
    • (2006) J. Comput. Phys. , vol.219 , pp. 749-769
    • Oevermann, M.1    Klein, R.2
  • 30
    • 33846161579 scopus 로고    scopus 로고
    • Extrinsic meshfree approximation using asymptotic expansion for interfacial discontinuity of derivative
    • Kim D.W., Yoon Y., Liu W.K., Belytschko T. Extrinsic meshfree approximation using asymptotic expansion for interfacial discontinuity of derivative. J. Comput. Phys. 2007, 221:370-394.
    • (2007) J. Comput. Phys. , vol.221 , pp. 370-394
    • Kim, D.W.1    Yoon, Y.2    Liu, W.K.3    Belytschko, T.4
  • 31
    • 31744448526 scopus 로고    scopus 로고
    • High order matched interface and boundary method for elliptic equations with discontinuous coefficients and singular sources
    • Zhou Y.C., Zhao S., Feig M., Wei G.W. High order matched interface and boundary method for elliptic equations with discontinuous coefficients and singular sources. J. Comput. Phys. 2006, 213:1-30.
    • (2006) J. Comput. Phys. , vol.213 , pp. 1-30
    • Zhou, Y.C.1    Zhao, S.2    Feig, M.3    Wei, G.W.4
  • 32
    • 35348917599 scopus 로고    scopus 로고
    • Three-dimensional matched interface and boundary (MIB) method for treating geometric singularities
    • Yu S., Wei G.W. Three-dimensional matched interface and boundary (MIB) method for treating geometric singularities. J. Comput. Phys. 2007, 227:602-632.
    • (2007) J. Comput. Phys. , vol.227 , pp. 602-632
    • Yu, S.1    Wei, G.W.2
  • 33
    • 0000194936 scopus 로고    scopus 로고
    • Physalis: A new O(N) method for the numerical simulation of disperse systems: potential flow of spheres
    • Prosperetti A., Oguz H.N. Physalis: A new O(N) method for the numerical simulation of disperse systems: potential flow of spheres. J. Comput. Phys. 2001, 167:196-216.
    • (2001) J. Comput. Phys. , vol.167 , pp. 196-216
    • Prosperetti, A.1    Oguz, H.N.2
  • 34
    • 0038625310 scopus 로고    scopus 로고
    • Physalis: a new method for particle simulation part ii: two-dimensional navierstokes flow around cylinders
    • Takagi S., Oguz H., Zhang Z., Prosperetti A. Physalis: a new method for particle simulation part ii: two-dimensional navierstokes flow around cylinders. J. Comput. Phys. 2003, 187:371-390.
    • (2003) J. Comput. Phys. , vol.187 , pp. 371-390
    • Takagi, S.1    Oguz, H.2    Zhang, Z.3    Prosperetti, A.4
  • 35
    • 0344342317 scopus 로고    scopus 로고
    • Immersed boundary technique for turbulent flow simulations
    • Iaccarino G., Verzicco R. Immersed boundary technique for turbulent flow simulations. Appl. Mech. Rev. 2003, 56:331-347.
    • (2003) Appl. Mech. Rev. , vol.56 , pp. 331-347
    • Iaccarino, G.1    Verzicco, R.2
  • 37
    • 33751544551 scopus 로고    scopus 로고
    • The immersed boundary method
    • Peskin C.S. The immersed boundary method. Acta Numer. 2002, 479-517.
    • (2002) Acta Numer. , pp. 479-517
    • Peskin, C.S.1
  • 38
    • 28144434823 scopus 로고
    • Modeling a no-slip flow boundary with an external force field
    • Goldstein D., Handler R., Sirovich L. Modeling a no-slip flow boundary with an external force field. J. Comput. Phys. 1993, 105:354-366.
    • (1993) J. Comput. Phys. , vol.105 , pp. 354-366
    • Goldstein, D.1    Handler, R.2    Sirovich, L.3
  • 39
    • 0030076191 scopus 로고    scopus 로고
    • Numerical simulation of a cylinder in uniform flow: application of a virtual boundary method
    • Saiki E.M., Biringen S. Numerical simulation of a cylinder in uniform flow: application of a virtual boundary method. J. Comput. Phys. 1996, 123:450-465.
    • (1996) J. Comput. Phys. , vol.123 , pp. 450-465
    • Saiki, E.M.1    Biringen, S.2
  • 40
    • 21444453996 scopus 로고    scopus 로고
    • An immersed boundary method with direct forcing for the simulation of particulate flows
    • Uhlmann M. An immersed boundary method with direct forcing for the simulation of particulate flows. J. Comput. Phys. 2005, 208:448-476.
    • (2005) J. Comput. Phys. , vol.208 , pp. 448-476
    • Uhlmann, M.1
  • 41
    • 18844400065 scopus 로고    scopus 로고
    • A hybrid cartesian/immersed boundary method for simulating flows with 3d geometrically complex moving bodies
    • Gilmanov A., Sotiropoulos F. A hybrid cartesian/immersed boundary method for simulating flows with 3d geometrically complex moving bodies. J. Comput. Phys. 2005, 207:457-492.
    • (2005) J. Comput. Phys. , vol.207 , pp. 457-492
    • Gilmanov, A.1    Sotiropoulos, F.2
  • 42
    • 33747108470 scopus 로고    scopus 로고
    • Natural and forced conjugate heat transfer in complex geometries on cartesian adapted grids
    • Iaccarino G., Moreau S. Natural and forced conjugate heat transfer in complex geometries on cartesian adapted grids. J. Fluids Eng. 2006, 128:838-846.
    • (2006) J. Fluids Eng. , vol.128 , pp. 838-846
    • Iaccarino, G.1    Moreau, S.2
  • 43
    • 34248594739 scopus 로고    scopus 로고
    • A stochastic immersed boundary method for fluid-structure dynamics at microscopic length scales
    • Atzberger P.J., Kramer P.R., Peskin C.S. A stochastic immersed boundary method for fluid-structure dynamics at microscopic length scales. J. Comput. Phys. 2007, 224:1255-1292.
    • (2007) J. Comput. Phys. , vol.224 , pp. 1255-1292
    • Atzberger, P.J.1    Kramer, P.R.2    Peskin, C.S.3
  • 44
    • 36148962964 scopus 로고    scopus 로고
    • A brinkman penalization method for compressible flows in complex geometries
    • Liu Q., Vasilyev O.V. A brinkman penalization method for compressible flows in complex geometries. J. Comput. Phys. 2007, 227:946-966.
    • (2007) J. Comput. Phys. , vol.227 , pp. 946-966
    • Liu, Q.1    Vasilyev, O.V.2
  • 45
    • 34447251295 scopus 로고    scopus 로고
    • A sharp interface immersed boundary method for compressible viscous flows
    • Ghias R., Mittal R., Dong H. A sharp interface immersed boundary method for compressible viscous flows. J. Comput. Phys. 2007, 225:457-492.
    • (2007) J. Comput. Phys. , vol.225 , pp. 457-492
    • Ghias, R.1    Mittal, R.2    Dong, H.3
  • 46
    • 35348846550 scopus 로고    scopus 로고
    • A direct-forcing fictitious domain method for particulate flows
    • Yu Z., Shao X. A direct-forcing fictitious domain method for particulate flows. J. Comput. Phys. 2007, 227:292-314.
    • (2007) J. Comput. Phys. , vol.227 , pp. 292-314
    • Yu, Z.1    Shao, X.2
  • 47
    • 38749138110 scopus 로고    scopus 로고
    • A fixed-mesh method for incompressible flow-structure systems with finite solid deformations
    • Zhao H., Freund J.B., Moser R.D. A fixed-mesh method for incompressible flow-structure systems with finite solid deformations. J. Comput. Phys. 2008, 227:3114-3140.
    • (2008) J. Comput. Phys. , vol.227 , pp. 3114-3140
    • Zhao, H.1    Freund, J.B.2    Moser, R.D.3
  • 48
    • 62049085920 scopus 로고    scopus 로고
    • Dns of buoyancy-dominated turbulent flows on a bluff body using the immersed boundary method
    • Kang S., Iaccarino G., Ham F. Dns of buoyancy-dominated turbulent flows on a bluff body using the immersed boundary method. J. Comput. Phys. 2009, 228:3189-3208.
    • (2009) J. Comput. Phys. , vol.228 , pp. 3189-3208
    • Kang, S.1    Iaccarino, G.2    Ham, F.3
  • 49
    • 0043158814 scopus 로고    scopus 로고
    • Physalis: a new method for particle flow simulation. part iii: convergence analysis of two-dimensional flows
    • Huang H., Takagi S. Physalis: a new method for particle flow simulation. part iii: convergence analysis of two-dimensional flows. J. Comput. Phys. 2003, 189:493-511.
    • (2003) J. Comput. Phys. , vol.189 , pp. 493-511
    • Huang, H.1    Takagi, S.2
  • 52
    • 0002515487 scopus 로고    scopus 로고
    • Efficient management of parallelism in object oriented numerical software libraries
    • Birkhäuser Press, E. Arge, A.M. Bruaset, H.P. Langtangen (Eds.)
    • Balay S., Gropp W.D., McInnes L.C., Smith B.F. Efficient management of parallelism in object oriented numerical software libraries. Modern Software Tools in Scientific Computing 1997, 163-202. Birkhäuser Press. E. Arge, A.M. Bruaset, H.P. Langtangen (Eds.).
    • (1997) Modern Software Tools in Scientific Computing , pp. 163-202
    • Balay, S.1    Gropp, W.D.2    McInnes, L.C.3    Smith, B.F.4
  • 53
    • 80052659408 scopus 로고    scopus 로고
    • Directly resolving particles in an electric field: local charge, force, torque, and applications
    • submitted for publication.
    • Q. Liu, Directly resolving particles in an electric field: local charge, force, torque, and applications, Int. J. Numer. Methods Eng. 2011, submitted for publication.
    • (2011) Int. J. Numer. Methods Eng.
    • Liu, Q.1
  • 56
    • 0031248010 scopus 로고    scopus 로고
    • Analysis of the evolution of the trapped charge distributions in 10nm si02 films during dc and bipolar dynamic stress
    • Rodriguez R., Nafria M., Sune J., Aymerich X. Analysis of the evolution of the trapped charge distributions in 10nm si02 films during dc and bipolar dynamic stress. Microelectron. Reliab. 1997, 37:1517-1520.
    • (1997) Microelectron. Reliab. , vol.37 , pp. 1517-1520
    • Rodriguez, R.1    Nafria, M.2    Sune, J.3    Aymerich, X.4
  • 57
    • 0000589764 scopus 로고
    • The properties of a dielectric containing semi-conducting particles of various shapes
    • Sillars R.W. The properties of a dielectric containing semi-conducting particles of various shapes. J. Inst. Electl. Engrs. (Lond.) 1937, 80:378-394.
    • (1937) J. Inst. Electl. Engrs. (Lond.) , vol.80 , pp. 378-394
    • Sillars, R.W.1
  • 58
    • 79961043907 scopus 로고    scopus 로고
    • A stable and accurate projection method on a locally refined staggered mesh
    • Liu Q. A stable and accurate projection method on a locally refined staggered mesh. Int. J. Numer. Methods Fluids 2011, 67:74-92.
    • (2011) Int. J. Numer. Methods Fluids , vol.67 , pp. 74-92
    • Liu, Q.1


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