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Volumn 198, Issue 33-36, 2009, Pages 2750-2767

Multi-fluid flows with the Particle Finite Element Method

Author keywords

Finite elements; Free surfaces; Heterogeneous fluids; Incompressible Navier Stokes equations; Interfaces; Lagrange formulations; Multi fluids; Multiphase flows; Particle method

Indexed keywords

FINITE ELEMENTS; FREE-SURFACES; HETEROGENEOUS FLUIDS; INCOMPRESSIBLE NAVIER-STOKES EQUATIONS; INTERFACES; LAGRANGE FORMULATIONS; MULTI-FLUIDS; PARTICLE METHOD;

EID: 65849438778     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2009.04.002     Document Type: Article
Times cited : (76)

References (38)
  • 3
    • 33645123735 scopus 로고
    • Kernel estimates as a basis for general particle methods in hydrodynamics
    • Gingold R.A., and Monaghan J.J. Kernel estimates as a basis for general particle methods in hydrodynamics. J. Comput. Phys. 46 (1981) 429-453
    • (1981) J. Comput. Phys. , vol.46 , pp. 429-453
    • Gingold, R.A.1    Monaghan, J.J.2
  • 4
    • 85183430449 scopus 로고    scopus 로고
    • Smoothed particle hydrodynamics, theory and application to non-spherical stars
    • Gingold R.A., and Monaghan J.J. Smoothed particle hydrodynamics, theory and application to non-spherical stars. Mon. Not Roy. Astron. Soc. 181 (1997) 375-389
    • (1997) Mon. Not Roy. Astron. Soc. , vol.181 , pp. 375-389
    • Gingold, R.A.1    Monaghan, J.J.2
  • 6
    • 0032689414 scopus 로고    scopus 로고
    • Numerical analysis of fragmentation mechanisms in vapor explosions
    • Koshizuka S., Ikeda H., and Oka Y. Numerical analysis of fragmentation mechanisms in vapor explosions. Nucl. Engrg. Design 189 (1999) 423-433
    • (1999) Nucl. Engrg. Design , vol.189 , pp. 423-433
    • Koshizuka, S.1    Ikeda, H.2    Oka, Y.3
  • 8
    • 32644451844 scopus 로고    scopus 로고
    • A multi-phase SPH method for macroscopic and mesoscopic flows
    • Hu X.Y., and Adams N.A. A multi-phase SPH method for macroscopic and mesoscopic flows. J. Comput. Phys. 213 (2006) 844-861
    • (2006) J. Comput. Phys. , vol.213 , pp. 844-861
    • Hu, X.Y.1    Adams, N.A.2
  • 9
    • 0027035536 scopus 로고
    • Generalizing the FEM: diffuse approximation and diffuse elements
    • Nayroles B., Touzot G., and Villon P. Generalizing the FEM: 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
  • 11
    • 0030294780 scopus 로고    scopus 로고
    • A finite point method in computational mechanics. Applications to convective transport and fluid flow
    • Oñate E., Idelsohn S.R., and Zienkiewicz O.C. A finite point method in computational mechanics. Applications to convective transport and fluid flow. Int. J. Numer. Methods Engrg. 39 (1996) 3839-3866
    • (1996) Int. J. Numer. Methods Engrg. , vol.39 , pp. 3839-3866
    • Oñate, E.1    Idelsohn, S.R.2    Zienkiewicz, O.C.3
  • 13
    • 0002186392 scopus 로고    scopus 로고
    • A finite point method for incompressible flow problems
    • Oñate E., Sacco C., and Idelsohn S.R. A finite point method for incompressible flow problems. Comput. Visual. Sci. 2 (2000) 67-75
    • (2000) Comput. Visual. Sci. , vol.2 , pp. 67-75
    • Oñate, E.1    Sacco, C.2    Idelsohn, S.R.3
  • 16
    • 6344291613 scopus 로고    scopus 로고
    • The particle finite element method: a powerful tool to solve incompressible flows with free-surfaces and breaking waves
    • Idelsohn S.R., Oñate E., and Del Pin F. The particle finite element method: a powerful tool to solve incompressible flows with free-surfaces and breaking waves. Int. J. Numer. Methods Engrg. 61 7 (2004) 964-984
    • (2004) Int. J. Numer. Methods Engrg. , vol.61 , Issue.7 , pp. 964-984
    • Idelsohn, S.R.1    Oñate, E.2    Del Pin, F.3
  • 19
    • 33645052764 scopus 로고    scopus 로고
    • Lagrangian formulation: The only way to solve some free-surface fluid mechanics problems
    • H.A. Mang, F.G. Rammerstorfer, J. Eberhardsteiner Eds, Vienna, Austria, July 7-12
    • S.R. Idelsohn, E. Oñate, F. Del Pin, N. Calvo, Lagrangian formulation: the only way to solve some free-surface fluid mechanics problems, in: H.A. Mang, F.G. Rammerstorfer, J. Eberhardsteiner (Eds.), Fifth World Congress on Computational Mechanics, Vienna, Austria, 2002 July 7-12.
    • (2002) Fifth World Congress on Computational Mechanics
    • Idelsohn, S.R.1    Oñate, E.2    Del Pin, F.3    Calvo, N.4
  • 20
    • 43949143168 scopus 로고    scopus 로고
    • Validation of the particle finite element method (PFEM) for simulation of the free-surface flows
    • Larese A., Rossi R., Oñate E., and Idelsohn S.R. Validation of the particle finite element method (PFEM) for simulation of the free-surface flows. Engrg. Comput. 25 4 (2008) 385-425
    • (2008) Engrg. Comput. , vol.25 , Issue.4 , pp. 385-425
    • Larese, A.1    Rossi, R.2    Oñate, E.3    Idelsohn, S.R.4
  • 22
    • 39749137488 scopus 로고    scopus 로고
    • Advances in the particle finite element method for the analysis of fluid-multibody interaction and bed erosion in free-surface flows
    • Oñate E., Idelsohn S.R., Celigueta M.A., and Rossi R. Advances in the particle finite element method for the analysis of fluid-multibody interaction and bed erosion in free-surface flows. Comput. Methods Appl. Mech. Engrg. 197 (2008) 1777-1800
    • (2008) Comput. Methods Appl. Mech. Engrg. , vol.197 , pp. 1777-1800
    • Oñate, E.1    Idelsohn, S.R.2    Celigueta, M.A.3    Rossi, R.4
  • 23
    • 39749170513 scopus 로고    scopus 로고
    • Unified Lagrangian formulation for elastic solids and incompressible fluids. Application to fluid-structure interaction problems via the PFEM
    • Idelsohn S.R., Marti J., Limache A., and Oñate E. Unified Lagrangian formulation for elastic solids and incompressible fluids. Application to fluid-structure interaction problems via the PFEM. Comput. Method Appl. Mech. Engrg. 197 (2008) 1762-1776
    • (2008) Comput. Method Appl. Mech. Engrg. , vol.197 , pp. 1762-1776
    • Idelsohn, S.R.1    Marti, J.2    Limache, A.3    Oñate, E.4
  • 24
    • 33645073927 scopus 로고    scopus 로고
    • Finite calculus formulations for finite element analysis of incompressible flows: Eulerian, ALE and Lagrangian approaches
    • Oñate E., Garcia J., Idelsohn S., and Del Pin F. Finite calculus formulations for finite element analysis of incompressible flows: Eulerian, ALE and Lagrangian approaches. Comput. Method Appl. Mech. Engrg. 195 (2006) 3001-3037
    • (2006) Comput. Method Appl. Mech. Engrg. , vol.195 , pp. 3001-3037
    • Oñate, E.1    Garcia, J.2    Idelsohn, S.3    Del Pin, F.4
  • 25
    • 0000765024 scopus 로고
    • The validity of the Boussinesq approximation for liquids and gases
    • Gray D., and Giorgini A. The validity of the Boussinesq approximation for liquids and gases. Int. J. Heat Mass Transfer 19 (1976) 545-551
    • (1976) Int. J. Heat Mass Transfer , vol.19 , pp. 545-551
    • Gray, D.1    Giorgini, A.2
  • 26
    • 0036153440 scopus 로고    scopus 로고
    • Complementary finite element methods applied to the numerical homogenization of 3D absolute permeability
    • Trykozko A., and Zijl W. Complementary finite element methods applied to the numerical homogenization of 3D absolute permeability. Commun. Numer. Methods Engrg. 18 n°1 (2002) 31-41
    • (2002) Commun. Numer. Methods Engrg. , vol.18 , Issue.1 , pp. 31-41
    • Trykozko, A.1    Zijl, W.2
  • 27
    • 0037689698 scopus 로고    scopus 로고
    • Evolution, implementation, and application of level set and fast marching methods for advancing fronts
    • Sethian J.A. Evolution, implementation, and application of level set and fast marching methods for advancing fronts. J. Comput. Phys. 169 (2001) 503-555
    • (2001) J. Comput. Phys. , vol.169 , pp. 503-555
    • Sethian, J.A.1
  • 28
    • 0000653947 scopus 로고    scopus 로고
    • Level set methods: an overview and some recent results
    • Osher S.J., and Fedkiw R.P. Level set methods: an overview and some recent results. J. Comput. Phys. 169 (2001) 463-502
    • (2001) J. Comput. Phys. , vol.169 , pp. 463-502
    • Osher, S.J.1    Fedkiw, R.P.2
  • 29
    • 0007566219 scopus 로고    scopus 로고
    • A projection FEM for variable density incompressible flows
    • Guermond J.-L., and Quartapelle L. A projection FEM for variable density incompressible flows. J. Comput. Phys. 165 (2000) 167-188
    • (2000) J. Comput. Phys. , vol.165 , pp. 167-188
    • Guermond, J.-L.1    Quartapelle, L.2
  • 30
    • 0026821471 scopus 로고
    • A new strategy for finite element computations involving moving boundaries and interfaces. The deforming-spatial-domain/space-time procedure: II. Computation of free-surface flows, two-liquid flows and flows with drifting cylinders
    • Tezduyar T.E., Behr M., and Mittal S. A new strategy for finite element computations involving moving boundaries and interfaces. The deforming-spatial-domain/space-time procedure: II. Computation of free-surface flows, two-liquid flows and flows with drifting cylinders. Comput. Methods Appl. Mech. Engrg. 94 (1992) 353-371
    • (1992) Comput. Methods Appl. Mech. Engrg. , vol.94 , pp. 353-371
    • Tezduyar, T.E.1    Behr, M.2    Mittal, S.3
  • 31
    • 0035824596 scopus 로고    scopus 로고
    • A moving Lagrangian interface technique for flow computations over fixed meshes
    • Cruchaga M., Celentano D., and Tezduyar T. A moving Lagrangian interface technique for flow computations over fixed meshes. Comput. Methods Appl. Mech. Engrg. 191 (2001) 525-543
    • (2001) Comput. Methods Appl. Mech. Engrg. , vol.191 , pp. 525-543
    • Cruchaga, M.1    Celentano, D.2    Tezduyar, T.3
  • 32
    • 34347344800 scopus 로고    scopus 로고
    • The violation of objectivity in Laplace formulations of the Navier-Stokes equations
    • Limache A., Idelsohn S.R., Rossi R., and Oñate E. The violation of objectivity in Laplace formulations of the Navier-Stokes equations. Int. J. Numer. Methods Fluids 54 6-8 (2007) 639-664
    • (2007) Int. J. Numer. Methods Fluids , vol.54 , Issue.6-8 , pp. 639-664
    • Limache, A.1    Idelsohn, S.R.2    Rossi, R.3    Oñate, E.4
  • 33
    • 0000028984 scopus 로고    scopus 로고
    • Pressure stability in fractional step finite element methods for incompressible flows
    • Codina R. Pressure stability in fractional step finite element methods for incompressible flows. J. Comput. Phys. 170 (2001) 112-140
    • (2001) J. Comput. Phys. , vol.170 , pp. 112-140
    • Codina, R.1
  • 34
    • 0342264461 scopus 로고    scopus 로고
    • A stabilized finite element method for incompressible viscous flows using a finite increment calculus formulation
    • Oñate E. A stabilized finite element method for incompressible viscous flows using a finite increment calculus formulation. Comput. Methods Appl. Mech. Engrg. 182 1-2 (2000) 355-370
    • (2000) Comput. Methods Appl. Mech. Engrg. , vol.182 , Issue.1-2 , pp. 355-370
    • Oñate, E.1
  • 35
    • 0031965628 scopus 로고    scopus 로고
    • Derivation of stabilized equations for numerical solution of advective-diffusive transport and fluid flow problems
    • Oñate E. Derivation of stabilized equations for numerical solution of advective-diffusive transport and fluid flow problems. Comput. Methods Appl. Mech. Engrg. 151 (1998) 233-265
    • (1998) Comput. Methods Appl. Mech. Engrg. , vol.151 , pp. 233-265
    • Oñate, E.1
  • 36
    • 0020752609 scopus 로고
    • Natural convection of air in a square cavity. A bench mark numerical solution
    • De Vahl Davis G. Natural convection of air in a square cavity. A bench mark numerical solution. Int. J. Numer. Methods Fluids 3 (1983) 249-264
    • (1983) Int. J. Numer. Methods Fluids , vol.3 , pp. 249-264
    • De Vahl Davis, G.1
  • 37
    • 0002322473 scopus 로고
    • Thermodynamic properties of silicate liquids with an emphasis on density, thermal expansion and compressibility
    • Lange R.A., and Carmichael I.S.E. Thermodynamic properties of silicate liquids with an emphasis on density, thermal expansion and compressibility. Rev. Mineral. Geochem. 24 (1990) 25-64
    • (1990) Rev. Mineral. Geochem. , vol.24 , pp. 25-64
    • Lange, R.A.1    Carmichael, I.S.E.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.