Least squares moving particle semi-implicit method

Keywords

Discretization, Moving least squares, Meshfree methods, Flow (mathematics), Applied mathematics

References

• Smoothed Particle Hydrodynamics: A Meshfree Particle MethodG. R. Liu, M. B. Liu — 2003
• Meshfree Methods for Partial Differential Equations IVMichael Griebel, Marc Alexander Schweitzer — 2005
• An introduction to computational fluid dynamics - the finite volume methodH. K. Versteeg, Weeratunge Malalasekera — 2007
• H‐p clouds—an h‐p meshless methodC. Armando Duarte, J. Tinsley Oden — 1996
• A Critical Comparison of Some Methods for Interpolation of Scattered DataRichard Franke — 1979
• The partition of unity finite element methodMelenk, Jens M., Babuška, Ivo — 1996
• Moving-Particle Semi-Implicit Method for Fragmentation of Incompressible FluidSeiichi Koshizuka, Y. Oka — 1996
• A new particle method for simulation of incompressible free surface flow problemsC. G. Koh, Minmin Gao, Chunling Luo — 2012
• INCOMPRESSIBLE SPH METHOD FOR SIMULATING NEWTONIAN AND NON-NEWTONIAN FLOWS WITH A FREE SURFACESongdong Shao, Edmond Y. M. Lo — 2003
• New concepts in meshless methodsSatya N. Atluri, Tulong Zhu — 2000
• Completeness of corrective smoothed particle method for linear elastodynamicsJ. K. Chen, J. E. Beraun, C. J. Jih — 1999
• Comparisons of weakly compressible and truly incompressible algorithms for the SPH mesh free particle methodE.-S. Lee, Charles Moulinec, Rui Xu — 2008
• A new cloud-based hp finite element methodJ. Tinsley Oden, C. Armando Duarte, O. C. Zienkiewicz — 1998
• Surfaces generated by moving least squares methodsPeter Lancaster, K. Šalkauskas — 1981
• New Assessment Criterion of Free Surface for Stabilizing Pressure Field in Particle MethodHitoshi GOTOH, Abbas Khayyer, Chiemi Hori — 2009
• Modified Moving Particle Semi-implicit methods for the prediction of 2D wave impact pressureAbbas Khayyer, Hitoshi GOTOH — 2009
• Generalized multiple scale reproducing kernel particle methodsWing Kam Liu, Yi-Jung Chen, R. A. Uras — 1996
• Crack propagation by element-free Galerkin methodsTed Belytschko, Ye Lu, Linxia Gu — 1995
• Reproducing kernel particle methods for structural dynamicsWing Kam Liu, Sukky Jun, Shaofan Li — 1995
• Smoothed Particle Hydrodynamics: Some recent improvements and applicationsP.W. Randles, Larry D. Libersky — 1996

Cited by

• Dynamic analysis of ultrasonically levitated droplet with moving particle semi-implicit and distributed point source methodYuji Wada, Kohei Yuge, Ryohei Nakamura — 2015
• Improved pressure calculation for the moving particle semi-implicit methodKazuya Shibata, Issei Masaie, Masahiro Kondo — 2015
• Hybrid grid-particle method for fluid mixing simulationTakuya Matsunaga, Kazuya Shibata, Kohei Murotani — 2015
• A contoured continuum surface force model for particle methodsGuangtao Duan, Seiichi Koshizuka, Bin Chen — 2015
• Performance improvements of differential operators code for MPS method on GPUKohei Murotani, Issei Masaie, Takuya Matsunaga — 2015
• Simulation of Driftwood-induced Flooding during High-intensity Rainfall using Smoothed Particle Hydrodynamics MethodNobuaki Kimura, Akira Tai, Akihiro Hashimoto — 2014
• On the consistency and convergence of particle-based meshfree discretization schemes for the Laplace operatorT. Tamai, Kouhei Murotani, Seiichi Koshizuka — 2017
• Cost reduction of particle simulations by an ellipsoidal particle modelKazuya Shibata, Seiichi Koshizuka, Issei Masaie — 2016
• Numerical simulation of 3D violent free-surface flows by multi-resolution MPS methodZhenyuan Tang, Decheng Wan, Gang Chen — 2016
• A review on approaches to solving Poisson’s equation in projection-based meshless methods for modelling strongly nonlinear water wavesQ. W., Yan Zhou, Shiqiang Yan — 2016
• Flow behaviour over a 2D body using the moving particle semi-implicit method with free surface stabilisationCarlos A. Perez, Manuel García — 2017
• Analysis of ultrasonically rotating droplet using moving particle semi-implicit and distributed point source methodsYuji Wada, Kohei Yuge, Hiroki Tanaka — 2016
• Modeling and Computation of Casting Process by Particle MethodMasaki Kazama, T. Suwa, Yasuhiro Maeda — 2019
• Numerical simulation of interaction between organs and food bolus during swallowing and aspirationTakahiro Kikuchi, Yukihiro Michiwaki, Seiichi Koshizuka — 2017
• An ALE particle method using upwind interpolationFangyuan Hu, Takuya Matsunaga, T. Tamai — 2017
• A multiphase MPS solver for modeling multi-fluid interaction with free surface and its application in oil spillGuangtao Duan, Bin Chen, Ximin Zhang — 2017
• Analysis of an ultrasonically rotating droplet by moving particle semi-implicit and distributed point source method in a rotational coordinateYuji Wada, Kohei Yuge, Hiroki Tanaka — 2017
• Enhancement of the accuracy of the finite volume particle method for the simulation of incompressible flowsXiaoxing Liu, Katsuhiro Morita, Shasha Zhang — 2017
• The overlapping particle technique for multi-resolution simulation of particle methodsKazuya Shibata, Seiichi Koshizuka, Takuya Matsunaga — 2017
• A numerical simulation method for transient behavior of damaged ships associated with floodingHirotada Hashimoto, Kouki Kawamura, Makoto Sueyoshi — 2017

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