메뉴 건너뛰기




Volumn 69, Issue 8, 2012, Pages 1377-1410

Accurate particle splitting for smoothed particle hydrodynamics in shallow water with shock capturing

Author keywords

Boundary condition; Particle splitting; Riemann solver; Shallow water equations; Shock capturing; SPH; Variational formulation

Indexed keywords

PARTICLE SPLITTING; RIEMANN SOLVER; SHALLOW WATER EQUATIONS; SHOCK-CAPTURING; SPH; VARIATIONAL FORMULATION;

EID: 84862180935     PISSN: 02712091     EISSN: 10970363     Source Type: Journal    
DOI: 10.1002/fld.2646     Document Type: Article
Times cited : (90)

References (46)
  • 2
    • 17744388977 scopus 로고    scopus 로고
    • A corrected smooth particle hydrodynamics formulation of the shallow-water equations
    • Rodriguez-Paz M, Bonet J. A corrected smooth particle hydrodynamics formulation of the shallow-water equations. Computers & Structures 2005 17-18:1396-1410.
    • (2005) Computers & Structures , vol.17-18 , pp. 1396-1410
    • Rodriguez-Paz, M.1    Bonet, J.2
  • 3
    • 84862316454 scopus 로고    scopus 로고
    • Coastal flow simulations using an SPH formulation modelling the Non-Linear Shallow Water equations, Proceedings of the 3th ERCOFTAC SPHERIC workshop on SPH applications, Lausanne, Switzerland
    • de Leffe M, Le Touzé D, Alessandrini B. Coastal flow simulations using an SPH formulation modelling the Non-Linear Shallow Water equations, Proceedings of the 3th ERCOFTAC SPHERIC workshop on SPH applications, Lausanne, Switzerland, 2008; 48-54.
    • (2008) , pp. 48-54
    • de Leffe, M.1    Le Touzé, D.2    Alessandrini, B.3
  • 5
    • 35248871097 scopus 로고    scopus 로고
    • Dynamic refinement and boundary contact forces in SPH with applications in fluid flow problems
    • Feldman J, Bonet J. Dynamic refinement and boundary contact forces in SPH with applications in fluid flow problems. International Journal for Numerical Methods in Engineering 2007 72(3):295-324.
    • (2007) International Journal for Numerical Methods in Engineering , vol.72 , Issue.3 , pp. 295-324
    • Feldman, J.1    Bonet, J.2
  • 9
    • 3042819315 scopus 로고    scopus 로고
    • A variational formulation based contact algorithm for rigid boundaries in two-dimensional SPH applications
    • Kulasegaram S, Bonet J, Lewis RW, Profit M. A variational formulation based contact algorithm for rigid boundaries in two-dimensional SPH applications. Computational Mechanics 2004 33(4):316-325.
    • (2004) Computational Mechanics , vol.33 , Issue.4 , pp. 316-325
    • Kulasegaram, S.1    Bonet, J.2    Lewis, R.W.3    Profit, M.4
  • 10
    • 48349111601 scopus 로고    scopus 로고
    • Comparisons of weakly compressible and truly incompressible algorithms for the SPH mesh free particle method
    • Lee ES, Moulinec C, Xu R, Violeau D, Laurence D, Stansby P. Comparisons of weakly compressible and truly incompressible algorithms for the SPH mesh free particle method. Journal of Computational Physics 2008 227(18):8417-8436.
    • (2008) Journal of Computational Physics , vol.227 , Issue.18 , pp. 8417-8436
    • Lee, E.S.1    Moulinec, C.2    Xu, R.3    Violeau, D.4    Laurence, D.5    Stansby, P.6
  • 11
    • 49349083291 scopus 로고    scopus 로고
    • An immersed boundary method for smoothed particle hydrodynamics of self-propelled swimmers
    • Hieber SE, Koumoutsakos P. An immersed boundary method for smoothed particle hydrodynamics of self-propelled swimmers. Journal of Computational Physics 2008 227(19):8636-8654.
    • (2008) Journal of Computational Physics , vol.227 , Issue.19 , pp. 8636-8654
    • Hieber, S.E.1    Koumoutsakos, P.2
  • 12
    • 84859571251 scopus 로고    scopus 로고
    • Smoothed Particle Hydrodynamics: approximate zero-consistent 2-D boundary conditions and still shallow water tests
    • DOI: 10.1002/fld.2559
    • Vacondio R, Rogers BD, Stansby PK. Smoothed Particle Hydrodynamics: approximate zero-consistent 2-D boundary conditions and still shallow water tests. International Journal for Numerical Methods in Fluids, DOI: 10.1002/fld.2559
    • International Journal for Numerical Methods in Fluids
    • Vacondio, R.1    Rogers, B.D.2    Stansby, P.K.3
  • 16
    • 0033337872 scopus 로고    scopus 로고
    • Variational and momentum preservation aspects of Smooth Particle Hydrodynamic formulations
    • Bonet J, Lok TSL. Variational and momentum preservation aspects of Smooth Particle Hydrodynamic formulations. Computer Methods in applied mechanics and engineering 1999 180:97-115.
    • (1999) Computer Methods in applied mechanics and engineering , vol.180 , pp. 97-115
    • Bonet, J.1    Lok, T.S.L.2
  • 20
    • 1142276372 scopus 로고    scopus 로고
    • Smoothed Particle Magnetohydrodynamics II. Variational principles and variable smoothing-length terms
    • Price DJ, Monaghan JJ. Smoothed Particle Magnetohydrodynamics II. Variational principles and variable smoothing-length terms. Monthly Notices of the Royal Astronomical Society 2004 348(1):139-152.
    • (2004) Monthly Notices of the Royal Astronomical Society , vol.348 , Issue.1 , pp. 139-152
    • Price, D.J.1    Monaghan, J.J.2
  • 21
    • 0001617877 scopus 로고
    • Tressph- A unification of sph with the hierarchical tree method
    • Hernquist L, Katz N. Tressph- A unification of sph with the hierarchical tree method. The Astrophysical Journal 1989 70:419-446.
    • (1989) The Astrophysical Journal , vol.70 , pp. 419-446
    • Hernquist, L.1    Katz, N.2
  • 25
    • 0041347541 scopus 로고    scopus 로고
    • Smoothed Particle Hydrodynamics with particle splitting, applied to self-gravitating collapse
    • Kitsionas S, Whitworth AP. Smoothed Particle Hydrodynamics with particle splitting, applied to self-gravitating collapse. Monthly Notices of the Royal Astronomical Society 2002 330(129).
    • (2002) Monthly Notices of the Royal Astronomical Society , vol.330 , Issue.129
    • Kitsionas, S.1    Whitworth, A.P.2
  • 28
    • 50249106314 scopus 로고    scopus 로고
    • A Regularized Lagrangian Finite Point Method for the Simulation of Incompressible Viscous Flows
    • Fang J, Parriaux A. A Regularized Lagrangian Finite Point Method for the Simulation of Incompressible Viscous Flows. Journal of Computational Physics 2008 227(20):8894-8908.
    • (2008) Journal of Computational Physics , vol.227 , Issue.20 , pp. 8894-8908
    • Fang, J.1    Parriaux, A.2
  • 29
    • 0000311829 scopus 로고
    • Von Neumann stability analysis of Smoothed Particle Hydrodynamics - Suggestions for optimal algorithms
    • Balsara DS. Von Neumann stability analysis of Smoothed Particle Hydrodynamics - Suggestions for optimal algorithms. Journal of Computational Physics 1995 121:357-372.
    • (1995) Journal of Computational Physics , vol.121 , pp. 357-372
    • Balsara, D.S.1
  • 31
    • 0037054262 scopus 로고    scopus 로고
    • Reformulation of Smoothed Particle Hydrodynamics with Riemann Solver
    • Inutsuka Si. Reformulation of Smoothed Particle Hydrodynamics with Riemann Solver. Journal of Computational Physics 2002 179:238-267.
    • (2002) Journal of Computational Physics , vol.179 , pp. 238-267
    • Inutsuka, S.1
  • 33
    • 12044254216 scopus 로고
    • Higher order Godunov schemes for isothermal hydrodynamics
    • Balsara DS. Higher order Godunov schemes for isothermal hydrodynamics. The Astrophysical Journal 1994420:197-212.
    • (1994) The Astrophysical Journal , vol.420 , pp. 197-212
    • Balsara, D.S.1
  • 34
    • 0347608444 scopus 로고    scopus 로고
    • On particle weighted methods and Smoothed Particle Hydrodynamics
    • Vila JP. On particle weighted methods and Smoothed Particle Hydrodynamics. Mathematical models and Methods in Applied Sciences 1999 9(2):161-209.
    • (1999) Mathematical models and Methods in Applied Sciences , vol.9 , Issue.2 , pp. 161-209
    • Vila, J.P.1
  • 35
    • 11144296111 scopus 로고
    • Direct Riemann solvers for the time-dependent Euler equations
    • Toro EF. Direct Riemann solvers for the time-dependent Euler equations. Shock Waves 1995 5(1-2):75-80.
    • (1995) Shock Waves , vol.5 , Issue.1-2 , pp. 75-80
    • Toro, E.F.1
  • 36
    • 33748523013 scopus 로고    scopus 로고
    • The dominant wave-capturing flux: A finite-volume scheme without decomposition for systems of hyperbolic conservation laws
    • Edwards MG. The dominant wave-capturing flux: A finite-volume scheme without decomposition for systems of hyperbolic conservation laws. Journal of Computational Physics 2006 218(1):275-294.
    • (2006) Journal of Computational Physics , vol.218 , Issue.1 , pp. 275-294
    • Edwards, M.G.1
  • 38
    • 0000031020 scopus 로고    scopus 로고
    • Conduction Modelling Using Smoothed Particle Hydrodynamics
    • Cleary PW, Monaghan JJ. Conduction Modelling Using Smoothed Particle Hydrodynamics. Journal of Computational Physics 1999 148:227-264.
    • (1999) Journal of Computational Physics , vol.148 , pp. 227-264
    • Cleary, P.W.1    Monaghan, J.J.2
  • 40
    • 0019382973 scopus 로고
    • Some exact solutions to the nonlinear shallow-water wave equations
    • Thacker WC. Some exact solutions to the nonlinear shallow-water wave equations. Journal of Fluid Mechanics 1981 107:499-508.
    • (1981) Journal of Fluid Mechanics , vol.107 , pp. 499-508
    • Thacker, W.C.1
  • 41
    • 84862326014 scopus 로고    scopus 로고
    • Dam-break flow through sharp bends - physical model and 2D Boltzmann model validation, Proceedings of the 6th Summary and conclusions CADAM meeting, Wallingford, United Kingdom, Commission Europenne, Bruxelles,2-3 March
    • Soares Frazão S, Sillen X, Zech Y. Dam-break flow through sharp bends - physical model and 2D Boltzmann model validation, Proceedings of the 6th Summary and conclusions CADAM meeting, Wallingford, United Kingdom, Commission Europenne, Bruxelles, 2-3 March, 1998; 151-169.
    • (1998) , pp. 151-169
    • Soares Frazão, S.1    Sillen, X.2    Zech, Y.3
  • 43
    • 1842639501 scopus 로고    scopus 로고
    • Numerical Prediction of Dam-Break Flows in General Geometries with Complex Bed Topography
    • Zhou JG, Causon DM, Mingham CG, Ingram DM. Numerical Prediction of Dam-Break Flows in General Geometries with Complex Bed Topography. Journal of Hydraulic Engineering 2004 130(4):332-340.
    • (2004) Journal of Hydraulic Engineering , vol.130 , Issue.4 , pp. 332-340
    • Zhou, J.G.1    Causon, D.M.2    Mingham, C.G.3    Ingram, D.M.4
  • 45
    • 84862327598 scopus 로고    scopus 로고
    • Two dimensional modeling of rapidly varying flows by finite volume schemes, Proceedings of the 2nd International Conference of Fluvial Hydraulics, Napoli, Italy,22-23 June
    • Aureli F, Maranzoni A, Mignosa P. Two dimensional modeling of rapidly varying flows by finite volume schemes, Proceedings of the 2nd International Conference of Fluvial Hydraulics, Napoli, Italy, 22-23 June, 2004; 837-849.
    • (2004) , pp. 837-849
    • Aureli, F.1    Maranzoni, A.2    Mignosa, P.3
  • 46
    • 84862333869 scopus 로고    scopus 로고
    • An extension of the Q-scheme of Van Leer for the shallow water equations using unstructured meshes, Proceedings of the 6th Summary and conclusions CADAM meeting, Wallingford, United Kingdom, Commission Europenne, Bruxelles,2-3 March
    • Vázquez-Cendón ME. An extension of the Q-scheme of Van Leer for the shallow water equations using unstructured meshes, Proceedings of the 6th Summary and conclusions CADAM meeting, Wallingford, United Kingdom, Commission Europenne, Bruxelles, 2-3 March 1998; 479-487.
    • (1998) , pp. 479-487
    • Vázquez-Cendón, M.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.