Stability of Statics Aware Voronoi Grid-Shells

2016 ◽  
Vol 116 ◽  
pp. 70-82 ◽  
Author(s):  
D. Tonelli ◽  
N. Pietroni ◽  
E. Puppo ◽  
M. Froli ◽  
P. Cignoni ◽  
...  
Keyword(s):  
Voronoi Grid

Structure of simple liquids as a problem of percolation in the Voronoi grid

1989 ◽  
Vol 30 (2) ◽  
pp. 253-260 ◽  
Author(s):  
N. N. Medvedev ◽  
V. P. Voloshin ◽  
Yu. I. Naberukhin
Keyword(s):  
Simple Liquids ◽  
Voronoi Grid ◽  
Structure Of Simple Liquids

Use of Voronoi Grid in Reservoir Simulation

1994 ◽  
Vol 2 (02) ◽  
pp. 69-77 ◽  
Author(s):  
C.L. Palagi ◽  
K. Aziz
Keyword(s):  
Reservoir Simulation ◽  
Voronoi Grid

Effect of Grid Deviation on Flow Solutions

SPE Journal ◽  
2009 ◽  
Vol 14 (01) ◽  
pp. 67-77 ◽  
Author(s):  
Xiao-Hui Wu ◽  
Rossen Parashkevov
Keyword(s):  
Corner Point ◽  
Unstructured Grids ◽  
Numerical Study ◽  
Computational Cost ◽  
Flow Equation ◽  
Attractive Alternative ◽  
Anisotropic Permeability ◽  
Voronoi Grid ◽  
Coordinate Lines ◽  
Volume Method

Summary The two-point flux finite-volume method (2P-FVM) is the most widely used method for solving the flow equation in reservoir simulations. For 2P-FVM to be consistent, the simulation grid needs to be orthogonal (or k-orthogonal if the permeability field is anisotropic). It is well known that corner-point grids can introduce large errors in the flow solutions because of the lack of orthogonality in general. Multipoint flux formulations that do not rely on grid orthogonality have been proposed, but these methods add significant computational cost to solving the flow equation. Recently, 2.5D unstructured grids that combine 2D Voronoi areal grids with vertical projections along deviated coordinate lines have become an attractive alternative to corner-point gridding. The Voronoi grid helps maintain orthogonality areally and can mitigate grid orientation effects. However, experience with these grids is limited. In this paper, we present an analytical and numerical study of these 2.5D unstructured grids. We focus on the effect of grid deviation on flow solutions in homogeneous, but anisotropic, permeability fields. In particular, we consider the grid deviation that results from gridding to sloping faults. We show that 2P-FVM does not converge to the correct solution as the grid refines. We further quantify the errors for some simple flow scenarios using a technique that combines numerical analysis and asymptotic expansions. Analytical error estimates are obtained. We find that the errors are highly flow dependent and that they can be global with no strong correlation with local nonorthogonality measures. Numerical tests are presented to confirm the analytical findings and to show the applicability of our conclusions to more-general flow scenarios.

3D Voronoi grid dedicated software for modeling gas migration in deep layered sedimentary formations with TOUGH2-TMGAS

2017 ◽  
Vol 108 ◽  
pp. 50-55 ◽  
Author(s):  
Stefano Bonduà ◽  
Alfredo Battistelli ◽  
Paolo Berry ◽  
Villiam Bortolotti ◽  
Alberto Consonni ◽  
...  
Keyword(s):  
Gas Migration ◽  
Voronoi Grid

The Modeling of Flow in Heterogeneous Reservoirs With Voronoi Grid

1993 ◽  
Author(s):  
C.L. Palagi ◽  
P.R. Ballin ◽  
Khalid Aziz
Keyword(s):  
Heterogeneous Reservoirs ◽  
Voronoi Grid

Bioconvective percolation on an incomplete Voronoi grid

1995 ◽  
Vol 28 (4) ◽  
pp. L115-L118 ◽  
Author(s):  
D A Noever ◽  
R J Cronise ◽  
H C Matsos ◽  
V I Nikora
Keyword(s):  
Voronoi Grid

scholarly journals Mathematical modeling of polymer flooding using the unstructured Voronoi grid

2017 ◽  
Vol 936 ◽  
pp. 012001
Author(s):  
T F Kireev ◽  
G T Bulgakova ◽  
I F Khatmullin
Keyword(s):  
Mathematical Modeling ◽  
Polymer Flooding ◽  
Voronoi Grid

scholarly journals Investigation of the Mathematical and Software Implementation of Triangulation Mesh Generation Algorithms in Relation to the Creation of a Slicer Program

2021 ◽  
Vol 2096 (1) ◽  
pp. 012177
Author(s):  
A A Kholodilov ◽  
E V Faleeva ◽  
M V Kholodilova
Keyword(s):  
Additive Manufacturing ◽  
Mesh Generation ◽  
Software Implementation ◽  
Strength Characteristics ◽  
Grid Structure ◽  
Algorithmic Method ◽  
Control Code ◽  
Voronoi Grid ◽  
The Creation ◽  
Manufacturing Technologies

Abstract The article discusses an algorithmic method for increasing the strength characteristics of products produced by additive manufacturing technologies through thickening the internal grid structure of filling the model when transferring to the control code during the operation of the slicer program. It shows the internal filling using the Voronoi grid and the "Exhaustion Algorithm" for the implementation of the internal filling of the threedimensional model in the process of the slicer program.

Improving accuracy and flexibility of numerical simulation of geothermal heat pump systems using Voronoi grid refinement approach

2015 ◽  
Vol 19 (3) ◽  
pp. 527-535 ◽  
Author(s):  
Seong-Kyun Kim ◽  
Gwang-Ok Bae ◽  
Kang-Kun Lee
Keyword(s):  
Numerical Simulation ◽  
Heat Pump ◽  
Grid Refinement ◽  
Geothermal Heat ◽  
Geothermal Heat Pump ◽  
Voronoi Grid ◽  
Improving Accuracy
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