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Volumn 29, Issue 12, 2005, Pages 1252-1270

Modeling incompressible flows using a finite particle method

Author keywords

Basis function; Finite particle method; Incompressible flow; Meshless meshfree methods; Smoothed particle hydrodynamics

Indexed keywords

EQUATIONS OF STATE; HYDRODYNAMICS; MATHEMATICAL MODELS; MATHEMATICAL TRANSFORMATIONS; MATRIX ALGEBRA; NAVIER STOKES EQUATIONS; NUMERICAL METHODS;

EID: 27744534674     PISSN: 0307904X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.apm.2005.05.003     Document Type: Article
Times cited : (231)

References (44)
  • 4
    • 1842866724 scopus 로고
    • The particle-in-cell method for numerical solution of problems in fluid dynamics
    • F.H. Harlow, The particle-in-cell method for numerical solution of problems in fluid dynamics, in: Proceedings of Symposia in Applied Mathematics, 1963.
    • (1963) Proceedings of Symposia in Applied Mathematics
    • Harlow, F.H.1
  • 5
    • 33749190078 scopus 로고
    • Numerical calculation of time-dependent viscous incompressible flow of fluids with free surface
    • F.H. Harlow E. Welch Numerical calculation of time-dependent viscous incompressible flow of fluids with free surface Phys. Fluids 8 1965 2182-2188
    • (1965) Phys. Fluids , vol.8 , pp. 2182-2188
    • Harlow, F.H.1    Welch, E.2
  • 8
    • 0019367877 scopus 로고
    • Volume of fluid (VOF) method for dynamics of free boundaries
    • C.W. Hirt B.D. Nicholls Volume of fluid (VOF) method for dynamics of free boundaries J. Comput. Phys. 39 1981 201-221
    • (1981) J. Comput. Phys. , vol.39 , pp. 201-221
    • Hirt, C.W.1    Nicholls, B.D.2
  • 9
    • 44749084234 scopus 로고
    • Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
    • S. Osher J.A. Sethian Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations J. Comput. Phys. 79 1988 12-49
    • (1988) J. Comput. Phys. , vol.79 , pp. 12-49
    • Osher, S.1    Sethian, J.A.2
  • 10
    • 85183430449 scopus 로고
    • Smoothed particle hydrodynamics: Theory and application to non-spherical stars
    • R.A. Gingold J.J. Monaghan Smoothed particle hydrodynamics: Theory and application to non-spherical stars Month. Notices Roy. Astronom. Soc. 181 1977 375-389
    • (1977) Month. Notices Roy. Astronom. Soc. , vol.181 , pp. 375-389
    • Gingold, R.A.1    Monaghan, J.J.2
  • 11
    • 0001765873 scopus 로고
    • Numerical approach to testing the fission hypothesis
    • L.B. Lucy Numerical approach to testing the fission hypothesis Astronom. J. 82 1977 1013-1024
    • (1977) Astronom. J. , vol.82 , pp. 1013-1024
    • Lucy, L.B.1
  • 12
    • 0018430665 scopus 로고
    • The finite difference method at arbitrary irregular grids and its applications in applied mechanics
    • T. Liszka J. Orkisz The finite difference method at arbitrary irregular grids and its applications in applied mechanics Comput. Struct. 11 1980 83-95
    • (1980) Comput. Struct. , vol.11 , pp. 83-95
    • Liszka, T.1    Orkisz, J.2
  • 13
    • 0030294780 scopus 로고    scopus 로고
    • A finite point method in computational mechanics applications to convective transport and fluid flow
    • E. Onate S. Idelsohn O.C. Zienkiewicz R.L. Taylor A finite point method in computational mechanics applications to convective transport and fluid flow Int. J. Numer. Methods Engng. 39 22 1996 3839-3866
    • (1996) Int. J. Numer. Methods Engng. , vol.39 , Issue.22 , pp. 3839-3866
    • Onate, E.1    Idelsohn, S.2    Zienkiewicz, O.C.3    Taylor, R.L.4
  • 14
    • 0027035536 scopus 로고
    • Generalizing the finite element methods: Diffuse approximation and diffuse elements
    • B. Nayroles G. Touzot P. Villon Generalizing the finite element methods: diffuse approximation and diffuse elements Comput. Mech. 10 1992 307-318
    • (1992) Comput. Mech. , vol.10 , pp. 307-318
    • Nayroles, B.1    Touzot, G.2    Villon, P.3
  • 18
    • 0030234048 scopus 로고    scopus 로고
    • Free mesh method: A new meshless finite element method
    • G. Yagawa T. Yamada Free mesh method: A new meshless finite element method Comput. Mech. 18 1996 383-386
    • (1996) Comput. Mech. , vol.18 , pp. 383-386
    • Yagawa, G.1    Yamada, T.2
  • 19
    • 0032136132 scopus 로고    scopus 로고
    • A new meshless local Petrov-Galerkin (MPLG) approach in computational mechanics
    • S.N. Atluri T. Zhu A new meshless local Petrov-Galerkin (MPLG) approach in computational mechanics Comput. Mech. 22 1998 117-127
    • (1998) Comput. Mech. , vol.22 , pp. 117-127
    • Atluri, S.N.1    Zhu, T.2
  • 20
    • 0035112642 scopus 로고    scopus 로고
    • A point interpolation method for two-dimensional solids
    • G.R. Liu Y.T. Gu A point interpolation method for two-dimensional solids Int. J. Numer. Methods Engng. 50 2001 937-951
    • (2001) Int. J. Numer. Methods Engng. , vol.50 , pp. 937-951
    • Liu, G.R.1    Gu, Y.T.2
  • 22
    • 0000969263 scopus 로고    scopus 로고
    • Meshfree and particle methods and their applications
    • S.F. Li W.K. Liu Meshfree and particle methods and their applications Appl. Mech. Rev. 55 1 2002 1-34
    • (2002) Appl. Mech. Rev. , vol.55 , Issue.1 , pp. 1-34
    • Li, S.F.1    Liu, W.K.2
  • 24
    • 27744606628 scopus 로고    scopus 로고
    • Century Dynamics Incorporated, AUTODYN Release Notes Version 3.1, AUTODYN™ Interactive Non-Linear Dynamic Analysis Software
    • Century Dynamics Incorporated, AUTODYN Release Notes Version 3.1, AUTODYN™ Interactive Non-Linear Dynamic Analysis Software, 1997.
    • (1997)
  • 26
    • 15444366122 scopus 로고
    • TreeSPH-a unification of SPH with the hierarchical tree method
    • L. Hernquist N. Katz TreeSPH-a unification of SPH with the hierarchical tree method Astrophys. J. Suppl. Ser. 70 1989 419-446
    • (1989) Astrophys. J. Suppl. Ser. , vol.70 , pp. 419-446
    • Hernquist, L.1    Katz, N.2
  • 28
    • 0030405630 scopus 로고    scopus 로고
    • Smoothed particle hydrodynamics some recent improvements and applications
    • P.W. Randles L.D. Libersky Smoothed particle hydrodynamics some recent improvements and applications Comput. Methods Appl. Mech. Engng. 138 1996 375-408
    • (1996) Comput. Methods Appl. Mech. Engng. , vol.138 , pp. 375-408
    • Randles, P.W.1    Libersky, L.D.2
  • 29
    • 0036877437 scopus 로고    scopus 로고
    • Investigations into water mitigations using a meshless particle method
    • M.B. Liu G.R. Liu K.Y. Lam Investigations into water mitigations using a meshless particle method Shock Waves 12 3 2002 181-195
    • (2002) Shock Waves , vol.12 , Issue.3 , pp. 181-195
    • Liu, M.B.1    Liu, G.R.2    Lam, K.Y.3
  • 30
    • 0036522184 scopus 로고    scopus 로고
    • Computer simulation of the high explosive explosion using SPH methodology
    • M.B. Liu G.R. Liu K.Y. Lam Z. Zong Computer simulation of the high explosive explosion using SPH methodology Comput. Fluids 32 3 2003 305-322
    • (2003) Comput. Fluids , vol.32 , Issue.3 , pp. 305-322
    • Liu, M.B.1    Liu, G.R.2    Lam, K.Y.3    Zong, Z.4
  • 31
    • 0037218965 scopus 로고    scopus 로고
    • Smoothed particle hydrodynamics for numerical simulation of underwater explosions
    • M.B. Liu G.R. Liu Z. Zong K.Y. Lam Smoothed particle hydrodynamics for numerical simulation of underwater explosions Comput. Mech. 30 2 2003 106-118
    • (2003) Comput. Mech. , vol.30 , Issue.2 , pp. 106-118
    • Liu, M.B.1    Liu, G.R.2    Zong, Z.3    Lam, K.Y.4
  • 32
    • 28044462914 scopus 로고    scopus 로고
    • Restoring particle consistency in smoothed particle hydrodynamics
    • in press
    • M.B. Liu, G.R. Liu, Restoring particle consistency in smoothed particle hydrodynamics, Appl. Numer. Math., in press.
    • Appl. Numer. Math.
    • Liu, M.B.1    Liu, G.R.2
  • 33
    • 0034723949 scopus 로고    scopus 로고
    • Correction and stabilization of smoothed particle hydrodynamics method with applications in metal forming simulations
    • J. Bonet S. Kulasegaram Correction and stabilization of smoothed particle hydrodynamics method with applications in metal forming simulations Int. J. Numer. Methods Engng. 47 2000 1189-1214
    • (2000) Int. J. Numer. Methods Engng. , vol.47 , pp. 1189-1214
    • Bonet, J.1    Kulasegaram, S.2
  • 34
    • 0033586394 scopus 로고    scopus 로고
    • Moving least square particle hydrodynamics i: Consistency and stability
    • G.A. Dilts Moving least square particle hydrodynamics i: Consistency and stability Int. J. Numer. Methods Engng. 44 1999 1115-1155
    • (1999) Int. J. Numer. Methods Engng. , vol.44 , pp. 1115-1155
    • Dilts, G.A.1
  • 35
    • 0034303927 scopus 로고    scopus 로고
    • A generalized smoothed particle hydrodynamics method for nonlinear dynamic problems
    • J.K. Chen J.E. Beraun A generalized smoothed particle hydrodynamics method for nonlinear dynamic problems Comput. Methods Appl. Mech. Engng. 190 2000 225-239
    • (2000) Comput. Methods Appl. Mech. Engng. , vol.190 , pp. 225-239
    • Chen, J.K.1    Beraun, J.E.2
  • 36
    • 0037532596 scopus 로고    scopus 로고
    • Constructing smoothing functions in smoothed particle hydrodynamics with applications
    • M.B. Liu G.R. Liu K.Y. Lam Constructing smoothing functions in smoothed particle hydrodynamics with applications J. Comput. Appl. Math. 155 2 2003 263-284
    • (2003) J. Comput. Appl. Math. , vol.155 , Issue.2 , pp. 263-284
    • Liu, M.B.1    Liu, G.R.2    Lam, K.Y.3
  • 37
    • 27744595638 scopus 로고    scopus 로고
    • On the selection of basis function in finite particle method
    • in press
    • M.B. Liu, G.R. Liu, On the selection of basis function in finite particle method, Comput. Mech., in press.
    • Comput. Mech.
    • Liu, M.B.1    Liu, G.R.2
  • 38
    • 28144440714 scopus 로고
    • Simulating free surface flow with SPH
    • J.J. Monaghan Simulating free surface flow with SPH J. Comput. Phys. 110 1994 399-406
    • (1994) J. Comput. Phys. , vol.110 , pp. 399-406
    • Monaghan, J.J.1
  • 39
    • 0031237355 scopus 로고    scopus 로고
    • Modeling low Reynolds number incompressible flows using SPH
    • J.P. Morris P.J. Fox Y. Zhu Modeling low Reynolds number incompressible flows using SPH J. Comput. Phys. 136 1997 214-226
    • (1997) J. Comput. Phys. , vol.136 , pp. 214-226
    • Morris, J.P.1    Fox, P.J.2    Zhu, Y.3
  • 41
    • 40449093496 scopus 로고
    • A numerical method for solving incompressible viscous flow problems
    • A.J. Chorin A numerical method for solving incompressible viscous flow problems J. Comput. Phys. 2 1967 12-26
    • (1967) J. Comput. Phys. , vol.2 , pp. 12-26
    • Chorin, A.J.1
  • 42
    • 0023289685 scopus 로고
    • On the accuracy of the pseudocompressibility method in solving the incompressible Navier-Stokes equations
    • S.E. Rogers D. Kwak U.K. Kaul On the accuracy of the pseudocompressibility method in solving the incompressible Navier-Stokes equations Appl. Math. Model. 11 1987 35-44
    • (1987) Appl. Math. Model. , vol.11 , pp. 35-44
    • Rogers, S.E.1    Kwak, D.2    Kaul, U.K.3
  • 43
    • 5444259294 scopus 로고    scopus 로고
    • Modified smoothed particle hydrodynamics method and its applications to transient problems
    • G.M. Zhang R.C. Batra Modified smoothed particle hydrodynamics method and its applications to transient problems Comput. Mech. 34 2004 137-146
    • (2004) Comput. Mech. , vol.34 , pp. 137-146
    • Zhang, G.M.1    Batra, R.C.2
  • 44
    • 13844292593 scopus 로고    scopus 로고
    • Analysis of adiabatic shear bands in elasto-thermo-viscoplastic materials by modified smoothed-particle hydrodynamics (MSPH) method
    • R.C. Batra G.M. Zhang Analysis of adiabatic shear bands in elasto-thermo-viscoplastic materials by modified smoothed-particle hydrodynamics (MSPH) method J. Comp. Phys. 201 2004 172-190
    • (2004) J. Comp. Phys. , vol.201 , pp. 172-190
    • Batra, R.C.1    Zhang, G.M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.