EFFICIENT AND ROBUST MATRIX SOLVER FOR THE PRESSURE CORRECTION EQUATIONS IN TWO- AND THREE-DIMENSIONAL FLUID FLOW PROBLEMS

1995 ◽  
Vol 27 (4) ◽  
pp. 355-369 ◽  
Author(s):  
Charn-Jung Kim ◽  
Sung Tack Ro
Keyword(s):  
Fluid Flow ◽  
Three Dimensional ◽  
Pressure Correction ◽  
Flow Problems ◽  
Correction Equations

scholarly journals Fast multipole solvers for three-dimensional radiation and fluid flow problems

1999 ◽  
Vol 7 ◽  
pp. 408-417 ◽  
Author(s):  
J. H. Strickland ◽  
L. A. Gritzo ◽  
R. S. Baty ◽  
G. F. Homicz ◽  
S. P. Burns
Keyword(s):  
Fluid Flow ◽  
Three Dimensional ◽  
Fast Multipole ◽  
Flow Problems

scholarly journals Discontinuous Boundary Elements for Fluid Flow Problems in Discrete Fracture Networks

2019 ◽  
Author(s):  
Bin Wang ◽  
Yin Feng ◽  
Xu Zhou ◽  
Sandra Pieraccini ◽  
Stefano Scialò ◽  
...  
Keyword(s):  
Fluid Flow ◽  
Domain Decomposition Method ◽  
Three Dimensional ◽  
Gas Production ◽  
Fracture Networks ◽  
Flow Problems ◽  
Discontinuous Boundary ◽  
Discrete Fracture Networks ◽  
Discrete Fracture ◽  
Element Method

Modeling fluid flow in three-dimensional (3D) Discrete Fracture Networks (DFNs) is of relevance in many engineering applications, such as hydraulic fracturing, oil/gas production, geothermal energy extraction, nuclear waste disposal and CO2 sequestration. A new Boundary Element Method (BEM) technique with discontinuous quadratic elements and a parallel Domain Decomposition Method (DDM) is presented herein for the simulation of the steady-state fluid flow in 3D DFN systems with wellbores, consisting of planar fractures having arbitrary properties and wellbore trajectories. Numerical examples characterized by DFNs of increasing complexity are investigated to evaluate the accuracy and efficiency of the presented technique. The results show that accurate solutions can be obtained with less nodes than with mesh-based methods (e.g. Finite Element Method). In addition, the DDM algorithm used provides a quite fast convergence. The simulation results of the fluid flow around intersections among traces (linear intersections between fractures), intersections between traces and a fracture boundaries, and wellbore intersections is accurate. Source code is available at : https://github.com/BinWang0213/PyDFN3D.

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