scholarly journals Smoothed particle hydrodynamics method for numerical solution of multidimensional filtering problems

2021 ◽  
Vol 2099 (1) ◽  
pp. 012001
Author(s):  
V Bashurov ◽  
V Zhigalov

Abstract The paper is devoted to solving the filtering problem for a mixture of water, gas, and oil in a homogeneous porous medium. The basic equations of filtration theory are converted into a special form for the numerical approximation with the smoothed particle hydrodynamics (SPH) method. A numerical difference scheme is constructed on the basis of SPH method. An algorithm for setting the boundary conditions is proposed and a number of isothermal 1D and 2D tests on the filtering process simulation for a mixture of water, oil, and gas.

2006 ◽  
Vol 306-308 ◽  
pp. 697-702 ◽  
Author(s):  
Masanori Kikuchi ◽  
Masayuki Miyamoto

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.


2019 ◽  
Vol 41 ◽  
pp. 9
Author(s):  
Géssica Ramos da Silva ◽  
Maicon De Paiva Torres ◽  
Marciana Lima Góes ◽  
Helio Pedro Amaral Souto

In the present work, the Smoothed Particle Hydrodynamics method (SPH) is employed in the modeling of a two-dimensional drop formation problem, without an external atmosphere, using a van der Waals fluid. In addition, influences of Reynolds number, initial aspect ratio and Péclet number on drops oscillatory behavior are studied in open space conditions with zero gravity assumption. In view of the most recent researches in drops formation field using the SPH method, a hyperbolic kernel is applied to all simulations in order to ensure uniform drops liquid formation, i.e., without particle agglomeration. Through the usage of this smoothing function the tensile instability is reduced, avoiding unnecessary numerical treatments.


2017 ◽  
Vol 23 (3) ◽  
pp. 71-78
Author(s):  
Vasile Năstăsescu ◽  
Ghiță Bârsan

Abstract This paper presents some results of the author’s researching in connection with SPH (smoothed particle hydrodynamics) method and underwater explosion numerical modelling. All about cavitation fundamentals are considered known and about cavitation effects upon the structures. The authors, deeply preoccupied in using of SPH method, as well in modelling of the underwater explosion effects upon structures, had to take into consideration the bulk cavitation. A main issue in this study was the knowing of the bulk cavitation domain and its characteristic parameters. Such researching was possible to be successfully carried out, only by using of the SPH method. Finally, the paper presents the relations and the working way for knowing of the bulk cavitation domain and also a numerical model using SPH method is presented. The numerical example regarding shape and dimensions of the bulk cavitation is presented together putting in evidence of some parameters which can make damages upon a structure that is in the bulk cavitation area.


Water ◽  
2019 ◽  
Vol 11 (11) ◽  
pp. 2314 ◽  
Author(s):  
Shu Wang ◽  
Anping Shu ◽  
Matteo Rubinato ◽  
Mengyao Wang ◽  
Jiping Qin

Non-homogeneous viscous debris flows are characterized by high density, impact force and destructiveness, and the complexity of the materials they are made of. This has always made these flows challenging to simulate numerically, and to reproduce experimentally debris flow processes. In this study, the formation-movement process of non-homogeneous debris flow under three different soil configurations was simulated numerically by modifying the formulation of collision, friction, and yield stresses for the existing Smoothed Particle Hydrodynamics (SPH) method. The results obtained by applying this modification to the SPH model clearly demonstrated that the configuration where fine and coarse particles are fully mixed, with no specific layering, produces more fluctuations and instability of the debris flow. The kinetic and potential energies of the fluctuating particles calculated for each scenario have been shown to be affected by the water content by focusing on small local areas. Therefore, this study provides a better understanding and new insights regarding intermittent debris flows, and explains the impact of the water content on their formation and movement processes.


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