Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Benharbit S., Chalabi A., Vila J.P., Numerical viscosity, and convergence of finite volume Methods for conservation laws with Boundary conditions, S.I.A.M Journal of Num. Analysis, (1995).
Ben Moussa B., Lanson N., Vila J.P. “Convergence of Meshless methods for Conservation laws. Applications to Euler Equations.”, VII conf. on Hyp. problems, Zurich, 1998.
Ben Moussa B., Vila J.P. “Convergence of SPH method for scalar nonlinear conservation laws”, SIAM Num. analysis 1999
Benz W. “Smooth Particle Hydrodynamics: A Review”, Harvard-Smithsonian Center for Astrophysics preprint 2884, 1989
Benz W., Asphaug A. “Impact Simulations with Fracture: I. Methods and Tests”Icarus, 1993
Bonet, J. and Lok, T.-S.L. “Variational and momentum preservation aspects of smooth particle hydrodynamics formulations”, Comput. Methods Appl. Mech. Engrg., 180, 97–115, 1999.
Gingold R.A., Monahghan, 1977, MNRAS, 181–375
Gingold R.A., Monahghan J.J., “Shock simulation by the particle method S.P.H.” J.C.P. 52, 374–389 (1983)
Harten A., Hyman J.M. “Self adjusting grid methods for one-dimensional hyperbolic conservation laws” J. Comp. Phys (1983)
Inutsuka S. “Reformulation of SPH with Riemann solvers” J.C.P. 179, 238–267 (2002)
Johnson G. R. “Artificial viscosity effects for SPH computations” Int. J. Impact Engng Vol 18,5, pp. 477–488, 1996
Johnson G.R., Beissel S.R., Normalized Smoothing functions for impact computations, Int. Jour. Num. Methods Eng., (1996)
Lax P.D., Wendroff B., Systems of Conservation Laws CPAM, 13, (1960), pp.217–237.
Lanson N. PHD thesis INSA Toulouse 2000
Lucy L. 1977, Astrono. J., 82, 1013
Monaghan J.J. “Smooth Particle Hydrodynamics” Annu. Rev. Astron. Astrop., 1992, 30, 543–74
Monaghan J.J., Kocharyan “SPH simulation of multi-phase flow” Comp. Physics Comm. 87 (1995) 225–235
Monaghan J.J., “SPH and Riemann Solvers” J. Comp. Phys. 298–307 (1997)
Petschek A.G., L.D. Libersky “Cylindrical Smooth Particle Hydrodynamics” J. Comp. Phys. 109, 76–83 (1993)
Randles R.W., Libertsky L.D. “Smoothed Particle Hydrodynamics, Some recent improvements and Applications” Comp. Meth. Appli. Mech. Eng;, 139 (1996) 375–408
Raviart P.A. “An analysis of particle methods” in Num. method in fluid dynamics, F. Brezzi ed. Lecture Notes in Math., vol 1127, Berlin, Springer 1985
Van Leer B., Towards the ultimate conservative difference scheme V, J.C.P., 32, (1979), pp.101–136.
Vila JP., Développements récents et Applications des Méthodes particulaires régularisées, ESAIM Proceeding CANUM 97, (1997).
Vila JP. “Weighted Particle-Finite Volume Hybrid schemes” in Finite Volumes for Complex Applications ed. F. Benkhaldoun, R. Vilsmeier, HERMES, Paris, 1996.
Vila JP. “Particle Weighted methods and Smooth Particle Hydridynamics” M3AS 9,2, 161–209 (1999)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2005 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Vila, J.P. (2005). SPH Renormalized Hybrid Methods for Conservation Laws: Applications to Free Surface Flows. In: Griebel, M., Schweitzer, M.A. (eds) Meshfree Methods for Partial Differential Equations II. Lecture Notes in Computational Science and Engineering, vol 43. Springer, Berlin, Heidelberg . https://doi.org/10.1007/3-540-27099-X_12
Download citation
DOI: https://doi.org/10.1007/3-540-27099-X_12
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-23026-7
Online ISBN: 978-3-540-27099-7
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)