scholarly journals Numerical simulation on the motion characteristics of freely rising bubbles using smoothed particle hydrodynamics method

2015 ◽  
Vol 64 (17) ◽  
pp. 174701
Author(s):  
Sun Peng-Nan ◽  
Li Yun-Bo ◽  
Ming Fu-Ren
Keyword(s):  
Numerical Simulation ◽  
Smoothed Particle Hydrodynamics ◽  
Particle Hydrodynamics ◽  
Smoothed Particle ◽  
Smoothed Particle Hydrodynamics Method ◽  
Motion Characteristics

scholarly journals Mathematical modeling of the electron-beam wire deposition additive manufacturing by the smoothed particle hydrodynamics method

2019 ◽  
Vol 5 (1) ◽  
Author(s):  
Dmitriy Nikolayevich Trushnikov ◽  
Elena Georgieva Koleva ◽  
Roman Pozolovich Davlyatshin ◽  
Roman Mikhailovich Gerasimov ◽  
Yuriy Vitalievich Bayandin
Keyword(s):  
Numerical Simulation ◽  
Mass Transfer ◽  
Electron Beam ◽  
Additive Manufacturing ◽  
Heat And Mass Transfer ◽  
Smoothed Particle Hydrodynamics ◽  
Lagrangian Description ◽  
Particle Hydrodynamics ◽  
Smoothed Particle ◽  
Smoothed Particle Hydrodynamics Method

Abstract Background The actual problem for calculating a shape of free surface of the melt when analyzing the processes of wire-based electron-beam surfacing on the substrate, being introduced into additive manufacturing, is the development of adequate mathematical models of heat and mass transfer. The paper proposed a formulation of the problem of melt motion in the framework of the Lagrangian description. The mathematical statement includes the balance equations for mass, momentum and energy, and physical equations for describing heat and mass transfer. Methods The smoothed particle hydrodynamics method was used for numerical simulation of the process of wire-based electron-beam surfacing on the substrate made from same materials (titanium or steel). A finite-difference analog of the equations is given and the algorithm for solving the problem is implemented. To integrate the discretized equations Verlet method was utilized. Algorithms are implemented in the open software package LAMMPS. Results The numerical simulation results allow the estimation of non-stationary volume temperature distributions, melt flow velocities and pressures, and characteristics of process. Conclusion The possibility of applying the developed mathematical model to describe additive production is shown. The comparison of numerical calculations with experimental studies showed good agreement.

Numerical Simulation of Impact Crush/Buckling of Circular Tube Using SPH Method

2006 ◽  
Vol 306-308 ◽  
pp. 697-702 ◽  
Author(s):  
Masanori Kikuchi ◽  
Masayuki Miyamoto
Keyword(s):  
Numerical Simulation ◽  
Smoothed Particle Hydrodynamics ◽  
Circular Tube ◽  
Impact Load ◽  
Sph Method ◽  
Axial Impact ◽  
Buckling Modes ◽  
Particle Hydrodynamics ◽  
Smoothed Particle ◽  
Smoothed Particle Hydrodynamics Method

SPH (Smoothed Particle Hydrodynamics) method is applied to impact crush/buckling problem of circular tube. It has been known that there are several kinds of buckling modes by axial impact load. First, elastic analyses of the crush/buckling are conducted, and three types of typical crush/buckling shape are obtained. Following the elastic analyses, elastic-plastic analyses were performed to improve the accuracy of the simulation. The shape of the buckling and the energy absorbed by circular tube are discussed.

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