Material order-independent interface reconstruction using power diagrams

2008 ◽  
Vol 56 (6) ◽  
pp. 643-659 ◽  
Author(s):  
Samuel P. Schofield ◽  
Rao V. Garimella ◽  
Marianne M. Francois ◽  
Raphaël Loubère
Keyword(s):  
Power Diagrams ◽  
Interface Reconstruction

scholarly journals Restricted Power Diagrams on the GPU

2021 ◽  
Vol 40 (2) ◽  
pp. 1-12
Author(s):  
J. Basselin ◽  
L. Alonso ◽  
N. Ray ◽  
D. Sokolov ◽  
S. Lefebvre ◽  
...  
Keyword(s):  
Power Diagrams

On Optimal Weighted Balanced Clusterings: Gravity Bodies and Power Diagrams

2012 ◽  
Vol 26 (2) ◽  
pp. 415-434 ◽  
Author(s):  
Andreas Brieden ◽  
Peter Gritzmann
Keyword(s):  
Power Diagrams

scholarly journals Volume preservation improvement for interface reconstruction hexahedral methods

2017 ◽  
Vol 203 ◽  
pp. 258-270
Author(s):  
Nicolas Le Goff ◽  
Franck Ledoux ◽  
Steven Owen
Keyword(s):  
Interface Reconstruction ◽  
Volume Preservation

scholarly journals 3-D numerical modelling of crustal polydiapirs with volume-of-fluid methods

2020 ◽  
Vol 222 (1) ◽  
pp. 474-506
Author(s):  
Aurélie Louis-Napoléon ◽  
Muriel Gerbault ◽  
Thomas Bonometti ◽  
Cédric Thieulot ◽  
Roland Martin ◽  
...  
Keyword(s):  
Volume Of Fluid ◽  
Vof Method ◽  
Earth’S Crust ◽  
Gravitational Instabilities ◽  
Interface Reconstruction ◽  
Rayleigh Taylor Instability ◽  
Earth's Crust ◽  
Two Stages ◽  
Rayleigh Benard ◽  
Earth Dynamics

SUMMARY Gravitational instabilities exert a crucial role on the Earth dynamics and in particular on its differentiation. The Earth’s crust can be considered as a multilayered fluid with different densities and viscosities, which may become unstable in particular with variations in temperature. With the specific aim to quantify crustal scale polydiapiric instabilities, we test here two codes, JADIM and OpenFOAM, which use a volume-of-fluid (VOF) method without interface reconstruction, and compare them with the geodynamics community code ASPECT, which uses a tracking algorithm based on compositional fields. The VOF method is well-known to preserve strongly deforming interfaces. Both JADIM and OpenFOAM are first tested against documented two and three-layer Rayleigh–Taylor instability configurations in 2-D and 3-D. 2-D and 3-D results show diapiric growth rates that fit the analytical theory and are found to be slightly more accurate than those obtained with ASPECT. We subsequently compare the results from VOF simulations with previously published Rayleigh–Bénard analogue and numerical experiments. We show that the VOF method is a robust method adapted to the study of diapirism and convection in the Earth’s crust, although it is not computationally as fast as ASPECT. OpenFOAM is found to run faster than, and conserve mass as well as JADIM. Finally, we provide a preliminary application to the polydiapiric dynamics of the orogenic crust of Naxos Island (Greece) at about 16 Myr, and propose a two-stages scenario of convection and diapirism. The timing and dimensions of the modelled gravitational instabilities not only corroborate previous estimates of timing and dimensions associated to the dynamics of this hot crustal domain, but also bring preliminary insight on its rheological and tectonic contexts.

scholarly journals Curved interface reconstruction for 2D compressible multi-material flows

2020 ◽  
Vol 67 ◽  
pp. 178-190
Author(s):  
Igor Chollet ◽  
Giulia Lissoni ◽  
Théo Corot ◽  
Philippe Hoch ◽  
Thomas Leroy ◽  
...  
Keyword(s):  
Dynamic Programming ◽  
Unstructured Grid ◽  
Reconstruction Method ◽  
Material Flows ◽  
Two Dimension ◽  
Interface Reconstruction ◽  
Partial Volumes ◽  
Curved Interface

In this paper, we describe an interface reconstruction method in two dimension. This method is an extension of DPIR [1], which reconstructs continuous interfaces and preserves partial volumes using dynamic programming. First we extend the method to curved interfaces. Then, we present tools to improve its robustness in order to apply it to unstructured grid. Finally, we describe an extension to three materials.

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