A smoothed particle hydrodynamics-phase field method with radial basis functions and moving least squares for meshfree simulation of dendritic solidification

2020 ◽  
Vol 77 ◽  
pp. 1704-1741 ◽  
Author(s):  
Adam Yehudi Ghoneim
Keyword(s):  
Least Squares ◽  
Phase Field ◽  
Smoothed Particle Hydrodynamics ◽  
Field Method ◽  
Basis Functions ◽  
Phase Field Method ◽  
Moving Least Squares ◽  
Dendritic Solidification ◽  
Particle Hydrodynamics ◽  
Smoothed Particle

scholarly journals Moving least-squares corrections for smoothed particle hydrodynamics

2011 ◽  
Vol 54 (5) ◽  
Author(s):  
Giuseppe Bilotta ◽  
Giovanni Russo ◽  
Alexis Hérault ◽  
Ciro Del Negro
Keyword(s):  
Least Squares ◽  
Smoothed Particle Hydrodynamics ◽  
Moving Least Squares ◽  
Particle Hydrodynamics ◽  
Smoothed Particle

scholarly journals Numerical Platform

2021 ◽  
pp. 63-95
Author(s):  
Keita Yoshioka ◽  
Mathias Nest ◽  
Daniel Pötschke ◽  
Amir Shoarian Sattari ◽  
Patrick Schmidt ◽  
...  
Keyword(s):  
Field Method ◽  
Local Deformation ◽  
Phase Field Method ◽  
Scientific Goal ◽  
Particle Hydrodynamics ◽  
Dimensional Finite Element ◽  
Smoothed Particle ◽  
Non Local ◽  
Lattice Element Method ◽  
Element Method

AbstractAn essential scientific goal of the GeomInt project is the analysis of potentials and limitations of different numerical approaches for the modelling of discontinuities in the rocks under consideration in order to improve the understanding of methods and their synergies with regard to theoretical and numerical fundamentals. As numerical methods, the “Lattice Element Method” (LEM), the non-continuous discontinuum methods “Discrete Element Method” (DEM), the “Smoothed Particle Hydrodynamics” (SPH), the “Forces on Fracture Surfaces” (FFS) as well as the continuum approaches “Phase-Field Method” (PFM), “Lower-Interface-Method” (LIE), “Non-Local Deformation” (NLD) and the “Hybrid-Dimensional Finite-Element-Method” (HDF) will be systematically investigated and appropriately extended based on experimental results (Fig. 3.1).

An efficient Pseudo-spectral based phase field method for dendritic solidification

2021 ◽  
Vol 186 ◽  
pp. 109967 ◽  
Author(s):  
Arijit Sinhababu ◽  
Anirban Bhattacharya ◽  
Sathyanarayana Ayyalasomayajula
Keyword(s):  
Phase Field ◽  
Field Method ◽  
Phase Field Method ◽  
Dendritic Solidification ◽  
Pseudo Spectral
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