Shallow Water and Navier-Stokes SPH-like numerical modelling of rapidly varying free-surface flows

Keywords

Free surface, Mechanics, Surface (topology), Geology, Physics

References

• Riemann Solvers and Numerical Methods for Fluid DynamicsEleuterio F. Toro — 1997
• Shock-Capturing Methods for Free-Surface Shallow FlowsEleuterio F. Toro — 2001
• Dam-break Flow through Sharp Bends - Physical Model and 2D Boltzmann Model ValidationSandra Soares Frazão, X. Sillen, Yves Zech — 1999
• Classical dynamics of particles and systemsJerry B. Marion, J. Gillis — 1965
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• Simulating Free Surface Flows with SPHJ. J. Monaghan — 1994
• INCOMPRESSIBLE SPH METHOD FOR SIMULATING NEWTONIAN AND NON-NEWTONIAN FLOWS WITH A FREE SURFACESongdong Shao, Edmond Y. M. Lo — 2003
• Direct Riemann solvers for the time-dependent Euler equationsEleuterio F. Toro — 1995
• A variational formulation based contact algorithm for rigid boundaries in two-dimensional SPH applicationsSivakumar Kulasegaram, Javier Bonet, R. W. Lewis — 2004
• Smoothed Particle Hydrodynamics with particle splitting, applied to self-gravitating collapseS. Kitsionas, A. P. Whitworth — 2002
• The surface gradient method for the treatment of source terms in the shallow-water equationsJian Zhou, D. M. Causon, C. G. Mingham — 2001
• Comparisons of weakly compressible and truly incompressible algorithms for the SPH mesh free particle methodE.-S. Lee, Charles Moulinec, Rui Xu — 2008
• An unstructured node-centered finite volume scheme for shallow water flows with wet/dry fronts over complex topographyIoannis K. Nikolos, A.I. Delis — 2009
• Variable smoothing lengths and energy conservation in smoothed particle hydrodynamicsR. P. Nelson, J. C. B. Papaloizou — 1994
• Smoothed Particle Hydrodynamics: Some recent improvements and applicationsP.W. Randles, Larry D. Libersky — 1996
• Fluid motion generated by impactJ. J. Monaghan, Andrew Kos, Nader A. Issa — 2003
• A corrected smooth particle hydrodynamics formulation of the shallow-water equationsMiguel X. Rodríguez-Paz, Javier Bonet — 2005
• An implicit corrected SPH formulation for thermal diffusion with linear free surface boundary conditionsHans F. Schwaiger — 2008
• Modeling of two-phase flows with surface tension by finite pointset method (FPM)Sudarshan Tiwari, Jörg Kuhnert — 2007
• An introduction to SPHJ. J. Monaghan — 1987

Cited by

• Simulation of Free-Surface Flow Using the Smoothed Particle Hydrodynamics (SPH) Method with Radiation Open Boundary ConditionsXingye Ni, Jinyu Sheng, Weibing Feng — 2016
• A Semi-implicit Smoothed Particle Hydrodynamics Method for the Numerical Simulation of Shallow Water FlowsA. O. Bankole — 2017
• Simulating thin film flow using the shallow water equations and smoothed particle hydrodynamicsSimon Härdi, Michael Schreiner, Uwe Janoske — 2020
• A New Parallel Framework of SPH-SWE for Dam Break Simulation Based on OpenMPYushuai Wu, Lirong Tian, Matteo Rubinato — 2020
• Numerical Investigation of Pollutant Transport in a Realistic Terrain with the SPH-SWE MethodLirong Tian, Shenglong Gu, Yushuai Wu — 2022
• A wetting and drying semi-implicit SPH algorithm for the shallow water equationsA. O. Bankole, A. Iske, T. Rung — 2016

Related papers

• Navier-Stokes equations : properties, description, and applicationsR. Younsi — 2012
• A finite element method for Navier-Stokes equationsJ. P. Benqué, B. Ibler, G. Labadie — 1980
• Adaptive finite volume incompressible Navier--Stokes solver for 3D flows with complex immersed boundariesGanesh Natarajan, Fotis Sotiropoulos — 2009
• Numerical methods for the navier-stokes equations. Applications to the simulation of compressible and incompressible viscous flowsMarie-Odile Bristeau, Roland Glowinski, Jacques Périaux — 1987
• A comparative numerical study of models of the Navier Stokes equations for incompressible separated flowsM. J. Werle, Joel Bernstein — 1975