A Finite Volume Approach with Triangular Grid for Solving Fluid Flow Problems in Reservoirs

1994 ◽  
Vol 2 (01) ◽  
pp. 179-185 ◽  
Author(s):  
L.C.N. Amado ◽  
O.A. Pedrosa
Keyword(s):  
Fluid Flow ◽  
Finite Volume ◽  
Triangular Grid ◽  
Flow Problems ◽  
Finite Volume Approach

Time-Accurate Flow Simulations Using a Finite-Volume Based Lattice Boltzmann Flow Solver with Dual Time Stepping Scheme

2016 ◽  
Vol 13 (06) ◽  
pp. 1650035 ◽  
Author(s):  
Goktan Guzel ◽  
Ilteris Koc
Keyword(s):  
Fluid Flow ◽  
Finite Volume ◽  
Lattice Boltzmann ◽  
Computational Effort ◽  
Flow Solver ◽  
Flow Problems ◽  
Time Stepping ◽  
Dual Time Stepping ◽  
Difference Formula ◽  
Finite Volume Approach

In this study, the Lattice Boltzmann Method (LBM) is implemented through a finite-volume approach to perform 2D, incompressible, and time-accurate fluid flow analyses on structured grids. Compared to the standard LBM (the so-called stream and collide scheme), the finite-volume approach followed in this study necessitates more computational effort, but the major limitations of the former on grid uniformity and Courant–Friedrichs–Lewy (CFL) number that is to be one are removed. Even though these improvements pave the way for the possibility of solving more practical fluid flow problems with the LBM, time-accurate simulations are still restricted due to the stability criteria dictated by high-aspect ratio grid cells that are usually required for adequate resolution of boundary layers and the stiffness due to the nature of the equation that are being solved. To overcome this limitation, a Dual Time Stepping (DTS) scheme, which iterates the solution in pseudo time using an Implicit-Explicit (IMEX) Runge–Kutta method while advancing the solution in physical time with an explicit scheme (backward difference formula), is developed and implemented. The accuracy of the resulting flow solver is evaluated using benchmark flow problems and overall second-order accuracy is demonstrated.

Simulation of Turbulent Flows Using a Finite-Volume Based Lattice Boltzmann Flow Solver

2014 ◽  
Vol 17 (1) ◽  
pp. 213-232 ◽  
Author(s):  
Goktan Guzel ◽  
Ilteris Koc
Keyword(s):  
Fluid Flow ◽  
Turbulent Flows ◽  
Finite Volume ◽  
Lattice Boltzmann ◽  
Computational Effort ◽  
Computational Domain ◽  
Flow Solver ◽  
Turbulent Fluid Flow ◽  
Finite Volume Approach ◽  
Volume Method

AbstractIn this study, the Lattice Boltzmann Method (LBM) is implemented through a finite-volume approach to perform 2-D, incompressible, and turbulent fluid flow analyses on structured grids. Even though the approach followed in this study necessitates more computational effort compared to the standard LBM (the so called stream and collide scheme), using the finite-volume method, the known limitations of the stream and collide scheme on lattice to be uniform and Courant-Friedrichs-Lewy (CFL) number to be one are removed. Moreover, the curved boundaries in the computational domain are handled more accurately with less effort. These improvements pave the way for the possibility of solving fluid flow problems with the LBM using coarser grids that are refined only where it is necessary and the boundary layers might be resolved better.

A FINITE-VOLUME METHOD BASED ON VORONOI DISCRETIZATION FOR FLUID FLOW PROBLEMS

2004 ◽  
Vol 45 (4) ◽  
pp. 319-342 ◽  
Author(s):  
João Flávio Vieira de Vasconcellos ◽  
Clovis R. Maliska
Keyword(s):  
Fluid Flow ◽  
Finite Volume Method ◽  
Finite Volume ◽  
Flow Problems ◽  
Volume Method
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