On enhancement of energy conservation properties of projection-based particle methods

[1]  S. Mamouri,et al.  A consistent incompressible SPH method for internal flows with fixed and moving boundaries , 2016 .

[2]  A. Colagrossi,et al.  Analysis of free-surface flows through energy considerations: Single-phase versus two-phase modeling. , 2016, Physical review. E.

[3]  Michael S. Triantafyllou,et al.  Vortex Dynamics in Flow Instabilities and Biomimetic Flows , 2016 .

[4]  Hitoshi Gotoh,et al.  A Multiphase Compressible-Incompressible Particle Method for Water Slamming , 2016 .

[5]  F. Avellan,et al.  Development of a finite volume particle method for 3-D fluid flow simulations , 2016 .

[6]  A. Colagrossi,et al.  Energy-decomposition analysis for viscous free-surface flows. , 2015, Physical review. E, Statistical, nonlinear, and soft matter physics.

[7]  E. Rossi,et al.  The Diffused Vortex Hydrodynamics Method , 2015 .

[8]  A. Colagrossi,et al.  Energy balance in the δ-SPH scheme , 2015 .

[9]  Andrea Colagrossi,et al.  Numerical simulation of 2D-vorticity dynamics using particle methods , 2015, Comput. Math. Appl..

[10]  Abbas Khayyer,et al.  Corrected higher order Laplacian for enhancement of pressure calculation by projection-based particle methods with applications in ocean engineering , 2015 .

[11]  A. Colagrossi,et al.  Prediction of energy losses in water impacts using incompressible and weakly compressible models , 2015 .

[12]  Leo M. González,et al.  An extended validation of the last generation of particle finite element method for free surface flows , 2015, J. Comput. Phys..

[13]  Songdong Shao,et al.  Numerical study of PPE source term errors in the incompressible SPH models , 2015 .

[14]  Taro Arikawa,et al.  On enhancement of Incompressible SPH method for simulation of violent sloshing flows , 2014 .

[15]  Nathan J. Quinlan,et al.  Development of the meshless finite volume particle method with exact and efficient calculation of interparticle area , 2014, Comput. Phys. Commun..

[16]  Christophe Kassiotis,et al.  Unified semi-analytical wall boundary conditions applied to 2-D incompressible SPH , 2014, J. Comput. Phys..

[17]  L. González,et al.  Addendum to "On the consistency of MPS" [Comput. Phys. Comm. 184 (3) (2013) 732-745] , 2013, Comput. Phys. Commun..

[18]  A. Colagrossi,et al.  Particles for fluids: SPH versus vortex methods , 2014 .

[19]  Abbas Khayyer,et al.  A short note on Dynamic Stabilization of Moving Particle Semi-implicit method , 2013 .

[20]  Hitoshi Gotoh,et al.  Computational Wave Dynamics , 2013 .

[21]  Hitoshi Gotoh,et al.  Enhancement of performance and stability of MPS mesh-free particle method for multiphase flows characterized by high density ratios , 2013, J. Comput. Phys..

[22]  Essam Abo-Serie,et al.  Influence of Smoothing Length and Virtual Particles on SPH Accuracy , 2013 .

[23]  Nikolaus A. Adams,et al.  A transport-velocity formulation for smoothed particle hydrodynamics , 2013, J. Comput. Phys..

[24]  Bahar Firoozabadi,et al.  2D numerical simulation of density currents using the SPH projection method , 2013 .

[25]  Jose L. Cercos-Pita,et al.  On the consistency of MPS , 2013, Comput. Phys. Commun..

[26]  Ashkan Rafiee,et al.  A simple SPH algorithm for multi‐fluid flow with high density ratios , 2013 .

[27]  M. Najafi,et al.  Meshless local Petrov–Galerkin method-higher Reynolds numbers fluid flow applications , 2012 .

[28]  Murray Rudman,et al.  Comparative study on the accuracy and stability of SPH schemes in simulating energetic free-surface flows , 2012 .

[29]  Hitoshi Gotoh,et al.  A 3D higher order Laplacian model for enhancement and stabilization of pressure calculation in 3D MPS-based simulations , 2012 .

[30]  Damien Violeau,et al.  Fluid Mechanics and the SPH Method: Theory and Applications , 2012 .

[31]  W. Dehnen,et al.  Improving convergence in smoothed particle hydrodynamics simulations without pairing instability , 2012, 1204.2471.

[32]  S. J. Lind,et al.  Incompressible smoothed particle hydrodynamics for free-surface flows: A generalised diffusion-based algorithm for stability and validations for impulsive flows and propagating waves , 2012, J. Comput. Phys..

[33]  Matteo Antuono,et al.  Theoretical analysis and numerical verification of the consistency of viscous smoothed-particle-hydrodynamics formulations in simulating free-surface flows. , 2011, Physical review. E, Statistical, nonlinear, and soft matter physics.

[34]  Hitoshi Gotoh,et al.  Enhancement of stability and accuracy of the moving particle semi-implicit method , 2011, J. Comput. Phys..

[35]  R. Fatehi,et al.  Error estimation in smoothed particle hydrodynamics and a new scheme for second derivatives , 2011, Comput. Math. Appl..

[36]  Abbas Khayyer,et al.  A higher order Laplacian model for enhancement and stabilization of pressure calculation by the MPS method , 2010 .

[37]  Hitoshi Gotoh,et al.  Wave Impact Pressure Calculations by Improved SPH Methods , 2009 .

[38]  Hitoshi Gotoh Lagrangian Particle Method As Advanced Technology For Numerical Wave Flume , 2009 .

[39]  Abbas Khayyer,et al.  Modified Moving Particle Semi-implicit methods for the prediction of 2D wave impact pressure , 2009 .

[40]  Hitoshi Gotoh,et al.  ENHANCED PREDICTIONS OF WAVE IMPACT PRESSURE BY IMPROVED INCOMPRESSIBLE SPH METHODS , 2009 .

[41]  C. Ancey,et al.  Improved SPH methods for simulating free surface flows of viscous fluids , 2009 .

[42]  Rui Xu,et al.  Comparisons of weakly compressible and truly incompressible algorithms for the SPH mesh free particle method , 2008, J. Comput. Phys..

[43]  Meinhard E. Mayer,et al.  Navier-Stokes Equations and Turbulence , 2008 .

[44]  S. Shao,et al.  Corrected Incompressible SPH method for accurate water-surface tracking in breaking waves , 2008 .

[45]  Bertrand Alessandrini,et al.  An improved SPH method: Towards higher order convergence , 2007, J. Comput. Phys..

[46]  Yoshiaki Oka,et al.  Hamiltonian moving-particle semi-implicit (HMPS) method for incompressible fluid flows , 2007 .

[47]  M. Lastiwka,et al.  Truncation error in mesh‐free particle methods , 2006 .

[48]  Hitoshi Gotoh,et al.  Key issues in the particle method for computation of wave breaking , 2006 .

[49]  Qingwei Ma,et al.  Meshless local Petrov-Galerkin method for two-dimensional nonlinear water wave problems , 2005 .

[50]  Eugenio Oñate,et al.  The particle finite element method: a powerful tool to solve incompressible flows with free‐surfaces and breaking waves , 2004 .

[51]  Huafeng Liu,et al.  Meshfree Particle Methods , 2004 .

[52]  A. Colagrossi,et al.  Numerical simulation of interfacial flows by smoothed particle hydrodynamics , 2003 .

[53]  S. Shao,et al.  INCOMPRESSIBLE SPH METHOD FOR SIMULATING NEWTONIAN AND NON-NEWTONIAN FLOWS WITH A FREE SURFACE , 2003 .

[54]  Ted Belytschko,et al.  Stability Analysis of Particle Methods with Corrected Derivatives , 2002 .

[55]  Daniel J. Price,et al.  Variational principles for relativistic smoothed particle hydrodynamics , 2001 .

[56]  Roger Temam,et al.  Navier-Stokes Equations and Turbulence by C. Foias , 2001 .

[57]  Petros Koumoutsakos,et al.  Vortex Methods: Theory and Practice , 2000 .

[58]  S. Koshizuka,et al.  International Journal for Numerical Methods in Fluids Numerical Analysis of Breaking Waves Using the Moving Particle Semi-implicit Method , 2022 .

[59]  W. G. Szymczak,et al.  Computations of violent surface motions: comparisons with theory and experiment , 1997, Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[60]  L. Libersky,et al.  Smoothed Particle Hydrodynamics: Some recent improvements and applications , 1996 .

[61]  S. Koshizuka,et al.  Moving-Particle Semi-Implicit Method for Fragmentation of Incompressible Fluid , 1996 .

[62]  Holger Wendland,et al.  Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree , 1995, Adv. Comput. Math..

[63]  J. Monaghan Simulating Free Surface Flows with SPH , 1994 .

[64]  J. Monaghan Smoothed particle hydrodynamics , 2005 .

[65]  J. Marsden,et al.  A mathematical introduction to fluid mechanics , 1979 .

[66]  A. Chorin Numerical solution of the Navier-Stokes equations , 1968 .