메뉴 건너뛰기




Volumn 9, Issue 2, 1999, Pages 161-209

On particle weighted methods and smooth particle hydrodynamics

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0347608444     PISSN: 02182025     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218202599000117     Document Type: Article
Times cited : (348)

References (48)
  • 1
    • 0002755843 scopus 로고
    • Generalization of the Roe scheme for computing flows of mixed gases with variable concentration
    • R. Abgrall, Generalization of the Roe scheme for computing flows of mixed gases with variable concentration, La Recherche Aérospatiale 6 (1988) 31-43.
    • (1988) La Recherche Aérospatiale , vol.6 , pp. 31-43
    • Abgrall, R.1
  • 4
    • 0000583242 scopus 로고
    • Numerical viscosity, and convergence of finite volume Methods for conservation laws with Boundary conditions
    • S. Benharbit, A. Chalabi and J. P. Vila, Numerical viscosity, and convergence of finite volume Methods for conservation laws with Boundary conditions, SIAM J. Numer. Anal. 32 (1995) 775-796.
    • (1995) SIAM J. Numer. Anal. , vol.32 , pp. 775-796
    • Benharbit, S.1    Chalabi, A.2    Vila, J.P.3
  • 5
    • 85034543726 scopus 로고    scopus 로고
    • Convergence of Meshless Methods for Conservation Laws. Applications to Euler Equations
    • Zürich to appear
    • B. Ben Moussa, N. Lanson and J. P. Vila, Convergence of Meshless Methods for Conservation Laws. Applications to Euler Equations, Proceedings VII Conf. Hyp. Pb., Zürich (1998), to appear.
    • (1998) Proceedings VII Conf. Hyp. Pb.
    • Ben Moussa, B.1    Lanson, N.2    Vila, J.P.3
  • 6
    • 85034548243 scopus 로고    scopus 로고
    • Convergence of SPH method for scalar nonlinear conservation laws
    • to appear
    • B. Ben Moussa and J. P. Vila, Convergence of SPH method for scalar nonlinear conservation laws, SIAM J. Numer. Anal., to appear.
    • SIAM J. Numer. Anal.
    • Ben Moussa, B.1    Vila, J.P.2
  • 7
    • 0346227938 scopus 로고    scopus 로고
    • Ph.D. Thesis INSAT
    • B. Ben Moussa, Ph.D. Thesis INSAT (1998).
    • (1998)
    • Ben Moussa, B.1
  • 8
  • 9
    • 0002528508 scopus 로고
    • Impact simulations with fracture: I. Methods and Tests
    • W. Benz and A. Asphaug, Impact simulations with fracture: I. Methods and Tests, ICARUS 107 (1993) 98-116.
    • (1993) ICARUS , vol.107 , pp. 98-116
    • Benz, W.1    Asphaug, A.2
  • 10
    • 0001461058 scopus 로고
    • The equations of motion of particles in smoothed particle hydrodynamics
    • G. V. Bicknell, The equations of motion of particles in smoothed particle hydrodynamics, SIAM J. Sci. Statist. Comput. 12 (1991) 1198-1206.
    • (1991) SIAM J. Sci. Statist. Comput. , vol.12 , pp. 1198-1206
    • Bicknell, G.V.1
  • 11
    • 0001368696 scopus 로고
    • The weighted particle method for convection-diffusion equations
    • P. Degond and S. Mas-Gallic, The weighted particle method for convection-diffusion equations, Math. Comput. 53 (1989) 485-526.
    • (1989) Math. Comput. , vol.53 , pp. 485-526
    • Degond, P.1    Mas-Gallic, S.2
  • 12
    • 0021835204 scopus 로고
    • Measure-valued solution to conservation laws
    • R. J. Diperna, Measure-valued solution to conservation laws, Arch. Rational Mech. Anal. 88 (1985) 223-270.
    • (1985) Arch. Rational Mech. Anal. , vol.88 , pp. 223-270
    • Diperna, R.J.1
  • 13
    • 0002447593 scopus 로고
    • Boundary conditions for nonlinear hyperbolic systems of conservation laws
    • F. Dubois and P. Lefloch, Boundary conditions for nonlinear hyperbolic systems of conservation laws, J. Differential Equations 71 (1988) 93-122.
    • (1988) J. Differential Equations , vol.71 , pp. 93-122
    • Dubois, F.1    Lefloch, P.2
  • 14
    • 0030239577 scopus 로고    scopus 로고
    • Artificial viscosity for vortex and particle methods
    • G. H. Cottet, Artificial viscosity for vortex and particle methods, J. Comput. Phys. 127 (1996) 299-308.
    • (1996) J. Comput. Phys. , vol.127 , pp. 299-308
    • Cottet, G.H.1
  • 15
    • 84966217981 scopus 로고
    • Monotone difference approximations for scalar conservation laws
    • M. Crandall and A. Majda, Monotone difference approximations for scalar conservation laws, Math. Comput. 34 (1980) 1-21.
    • (1980) Math. Comput. , vol.34 , pp. 1-21
    • Crandall, M.1    Majda, A.2
  • 16
    • 33644851328 scopus 로고
    • Shock simulation by the particle method S.P.H
    • R. A. Gingold and J. J. Monahghan, Shock simulation by the particle method S.P.H., J. Comput. Phys. 52 (1983) 374-389.
    • (1983) J. Comput. Phys. , vol.52 , pp. 374-389
    • Gingold, R.A.1    Monahghan, J.J.2
  • 17
    • 85183430449 scopus 로고
    • Smoothed particle hydrodynamics: Theory and application to nonspherical stars
    • R. A. Gingold and J. J. Monahghan, Smoothed particle hydrodynamics: theory and application to nonspherical stars, MNRAS 181 (1977) 181-375.
    • (1977) MNRAS , vol.181 , pp. 181-375
    • Gingold, R.A.1    Monahghan, J.J.2
  • 18
    • 0000876320 scopus 로고
    • On upstream differencing and Godunov type schemes for hyperbolic conservation laws
    • A. Harten, P. D. Lax and B. Van Leer, On upstream differencing and Godunov type schemes for hyperbolic conservation laws, SIAM Rev. 25 (1983) 35-61.
    • (1983) SIAM Rev. , vol.25 , pp. 35-61
    • Harten, A.1    Lax, P.D.2    Van Leer, B.3
  • 19
    • 48749145227 scopus 로고
    • Self-adjusting grid methods for one-dimensional hyperbolic conservation laws
    • A. Harten and J. M. Hyman, Self-adjusting grid methods for one-dimensional hyperbolic conservation laws, J. Comput. Phys. 50 (1983) 235-269.
    • (1983) J. Comput. Phys. , vol.50 , pp. 235-269
    • Harten, A.1    Hyman, J.M.2
  • 20
    • 0348119098 scopus 로고
    • Dirty Tricks for SPH
    • Herant, Dirty Tricks for SPH, Mem. S. A. It. XX (1993) 1-10.
    • (1993) Mem. S. A. It. , vol.20 , pp. 1-10
    • Herant1
  • 21
    • 0001617877 scopus 로고
    • TREESPH: A unification of SPH with the hierarchical tree method
    • L. Hernquist and N. Katz, TREESPH: a unification of SPH with the hierarchical tree method, Astr. J. S. S. 70 (1989) 419-446.
    • (1989) Astr. J. S. S. , vol.70 , pp. 419-446
    • Hernquist, L.1    Katz, N.2
  • 22
    • 0030216549 scopus 로고    scopus 로고
    • Normalized smoothing functions for impact computations
    • G. R. Johnson and S. R. Beissel, Normalized smoothing functions for impact computations, Internat. J. Numer. Methods Engrg. 39 (1996) 2725-2741.
    • (1996) Internat. J. Numer. Methods Engrg. , vol.39 , pp. 2725-2741
    • Johnson, G.R.1    Beissel, S.R.2
  • 23
    • 0040045826 scopus 로고
    • On monotone difference approximations for a first order quasilinear equation
    • N. N. Kuznetsov and S. A. Volosin, On monotone difference approximations for a first order quasilinear equation, Sov. Math. Dokl. 17 (1976) 1203-1206.
    • (1976) Sov. Math. Dokl. , vol.17 , pp. 1203-1206
    • Kuznetsov, N.N.1    Volosin, S.A.2
  • 24
    • 26144464535 scopus 로고    scopus 로고
    • Ph.D. Thesis INSAT
    • J. L. Lacôme, Ph.D. Thesis INSAT (1998).
    • (1998)
    • Lacôme, J.L.1
  • 27
    • 84980077199 scopus 로고
    • Systems of Conservation Laws
    • P. D. Lax and B. Wendroff, Systems of Conservation Laws, CPAM 13 (1960) 217-237.
    • (1960) CPAM , vol.13 , pp. 217-237
    • Lax, P.D.1    Wendroff, B.2
  • 29
    • 0001765873 scopus 로고
    • A numerical approach to the testing of the fission hypothesis
    • L. Lucy, A numerical approach to the testing of the fission hypothesis, Astrono. J. 82 (1977) 1013.
    • (1977) Astrono. J. , vol.82 , pp. 1013
    • Lucy, L.1
  • 31
    • 0002837870 scopus 로고
    • A particle method for first-order symmetric systems
    • S. Mas-Gallic and P. A. Raviart, A particle method for first-order symmetric systems, Numer. Math. 51 (1987) 323-352.
    • (1987) Numer. Math. , vol.51 , pp. 323-352
    • Mas-Gallic, S.1    Raviart, P.A.2
  • 33
    • 85034529292 scopus 로고    scopus 로고
    • J. J. Monahghan, lecture notes, Kaiserslautern University (1995)
    • J. J. Monahghan, lecture notes, Kaiserslautern University (1995).
  • 34
    • 45949117604 scopus 로고
    • Errors for calculations of strong shocks using an artificial viscosity and an artificial heat flux
    • W. F. Noh, Errors for calculations of strong shocks using an artificial viscosity and an artificial heat flux, J. Comput. Phys. 72 (1978) 78-120.
    • (1978) J. Comput. Phys. , vol.72 , pp. 78-120
    • Noh, W.F.1
  • 35
    • 0021413939 scopus 로고
    • Riemann solvers, the entropy condition and difference approximations
    • S. Osher, Riemann solvers, the entropy condition and difference approximations, SIAM J. Numer. Anal. 21 (1984) 217-235.
    • (1984) SIAM J. Numer. Anal. , vol.21 , pp. 217-235
    • Osher, S.1
  • 37
    • 0030405630 scopus 로고    scopus 로고
    • Smoothed particle hydrodynamics, some recent improvements and applications
    • R. W. Randles and L. D. Libertsky, Smoothed particle hydrodynamics, some recent improvements and applications, Comput. Methods Appl. Mech. Engrg. 139 (1996) 375-408.
    • (1996) Comput. Methods Appl. Mech. Engrg. , vol.139 , pp. 375-408
    • Randles, R.W.1    Libertsky, L.D.2
  • 38
    • 0000434123 scopus 로고
    • An analysis of particle methods
    • Numerical Method in Fluid Dynamics, ed. F. Brezzi, Springer
    • P. A. Raviart, An analysis of particle methods, in Numerical Method in Fluid Dynamics, ed. F. Brezzi, Lecture Notes in Math., vol. 1127 (Springer, 1985).
    • (1985) Lecture Notes in Math. , vol.1127
    • Raviart, P.A.1
  • 39
    • 0348119103 scopus 로고
    • Particle approximation of first order systems
    • P. A. Raviart, Particle approximation of first order systems, J. Comput. Math. 4 (1986) 50-61.
    • (1986) J. Comput. Math. , vol.4 , pp. 50-61
    • Raviart, P.A.1
  • 41
    • 2942757053 scopus 로고
    • Approximate Riemann solvers, parameter vectors and difference scheme
    • P. L. Roe, Approximate Riemann solvers, parameter vectors and difference scheme, J. Comput. Phys. 43 (1981) 357-372.
    • (1981) J. Comput. Phys. , vol.43 , pp. 357-372
    • Roe, P.L.1
  • 42
    • 2442433925 scopus 로고
    • Towards the ultimate conservative difference scheme V
    • B. Van Leer, Towards the ultimate conservative difference scheme V, J. Comput. Phys. 32 (1979) 101-136.
    • (1979) J. Comput. Phys. , vol.32 , pp. 101-136
    • Van Leer, B.1
  • 43
    • 0001646536 scopus 로고
    • Transonic flow simulations using an upstream centered scheme of Godunov in finite elements
    • G. Vijayasundaram, Transonic flow simulations using an upstream centered scheme of Godunov in finite elements, J. Comput. Phys. 63 (1986) 416-433.
    • (1986) J. Comput. Phys. , vol.63 , pp. 416-433
    • Vijayasundaram, G.1
  • 45
    • 0347488903 scopus 로고
    • Construction of Roe type matrices, a new approach. Application to real gas dynamic
    • J. P. Vila, Construction of Roe type matrices, a new approach. Application to real gas dynamic, Third Int. Conf. on Hyp. Probl. (1991).
    • (1991) Third Int. Conf. on Hyp. Probl.
    • Vila, J.P.1
  • 46
    • 0041299872 scopus 로고    scopus 로고
    • Weighted particle-finite volume hybrid schemes
    • eds. F. Benkhaldoun and R. Vilsmeier HERMES
    • J. P. Vila, Weighted particle-finite volume hybrid schemes, Finite Volumes for Complex Applications, eds. F. Benkhaldoun and R. Vilsmeier (HERMES, 1996).
    • (1996) Finite Volumes for Complex Applications
    • Vila, J.P.1
  • 47
    • 85034563290 scopus 로고    scopus 로고
    • Développements récents et Applications des Méthodes particulaires régularisées
    • J. P. Vila, Développements récents et Applications des Méthodes particulaires régularisées, ESAIM Proceedings CANUM 97 (1998).
    • (1998) ESAIM Proceedings CANUM , vol.97
    • Vila, J.P.1
  • 48
    • 0031231889 scopus 로고    scopus 로고
    • Convergence de la méthode des volumes finis pour les systèmes de Friedrichs
    • J. P. Vila and P. Villedieu, Convergence de la méthode des volumes finis pour les systèmes de Friedrichs, C. R. Acad. Sci. Paris 325 (1997) 671-676.
    • (1997) C. R. Acad. Sci. Paris , vol.325 , pp. 671-676
    • Vila, J.P.1    Villedieu, P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.