A Numerical Study for Convergence of a Classic 3D Problem Solved by BEM

1988 ◽  
pp. 145-155
Author(s):  
Guo-Ming Han ◽  
Hong-Bao Li
Keyword(s):  
Author(s):  
Wafik Abassi ◽  
Fethi Aloui ◽  
Sassi Ben Nasrallah ◽  
Jack Legrand

This work deals with the application of the lattice Boltzmann method to simulate the unsteady laminar flow around a confined square obstacle. For this configuration, we can observe some regimes that fluid may occur during its flowing. We have determined numerically the flow behavior for linear and stable regime. The variable aspect of the flow observed depends on the Reynolds number. In this study, we determine the velocity fields for a various Reynolds numbers by resolving the Navier-Stokes equations using the Lattice Boltzmann Method with BGK schema. This method is a recent extension of the LB method which demonstrated its potential for describing incompressible flow around an obstacle. A numerical study of 2D and 3D problem around a square obstacle using the Lattice Boltzmann Method with BGK schema is presented for an unsteady flow in laminar regime. The flow behavior in a horizontal channel with a rectangular cross-section, where a squared obstacle is placed in the middle, is discussed. In the 2D simulation, the obtained numerical results show a good agreement with experimental results [18]. Then we extend the ability of this method to solve the 3D problem. Numerical results behind the obstacle, obtained for various Reynolds numbers, are also analyzed and discussed.


2013 ◽  
Vol 58 (3) ◽  
pp. 691-704 ◽  
Author(s):  
A.B. Kuljabekov ◽  
M.K Inkarbekov ◽  
M.S. Tungatarova ◽  
K.A. Alibayeva ◽  
A. Kaltayev

Abstract In this work the numerical study of the hydrodynamic efficiency of the multistage filters setting technology is carried out on the basis of mathematical simulation. Obtained results of a flow of solution in porous media near a wellbore qualitatively conform to the experimental data. In calculations the well is considered as the high-permeability channel with the fictitious permeability coefficient depending on a filter construction (porosity, form of perforations). The results of calculation show that the fictitious permeability coefficient has deep influence on the fluid influx to the well and the distribution of flow rate on well height is not uniform. The developed model is used for the axisymmetric case. Calculations were carried out for a single well; however it can be easily applied to solve the 3D problem with various sets of wells.


1998 ◽  
Vol 77 (2) ◽  
pp. 473-484 ◽  
Author(s):  
M. Sampoli, P. Benassi, R. Dell'Anna,

2020 ◽  
pp. 57-65
Author(s):  
Eusébio Conceiçã ◽  
João Gomes ◽  
Maria Manuela Lúcio ◽  
Jorge Raposo ◽  
Domingos Xavier Viegas ◽  
...  

This paper refers to a numerical study of the hypo-thermal behaviour of a pine tree in a forest fire environment. The pine tree thermal response numerical model is based on energy balance integral equations for the tree elements and mass balance integral equation for the water in the tree. The simulation performed considers the heat conduction through the tree elements, heat exchanges by convection between the external tree surfaces and the environment, heat exchanges by radiation between the flame and the external tree surfaces and water heat loss by evaporation from the tree to the environment. The virtual three-dimensional tree model has a height of 7.5 m and is constituted by 8863 cylindrical elements representative of its trunks, branches and leaves. The fire front has 10 m long and a 2 m high. The study was conducted taking into account that the pine tree is located 5, 10 or 15 m from the fire front. For these three analyzed distances, the numerical results obtained regarding to the distribution of the view factors, mean radiant temperature and surface temperatures of the pine tree are presented. As main conclusion, it can be stated that the values of the view factor, MRT and surface temperatures of the pine tree decrease with increasing distance from the pine tree in front of fire.


2013 ◽  
Author(s):  
Pancheewa Benjamasutin ◽  
◽  
Ponthong Rijana ◽  
Phongchayont Srisuwan ◽  
Aussadavut Dumrongsiri

2013 ◽  
Author(s):  
Artchapong Hassametto ◽  
Preerawadee Chaiboontun ◽  
Chattraporn Prajuabwan ◽  
Laphatrada Khammuang ◽  
Aussadavut Dumrongsiri

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