Volume of fluid interface reconstruction methods for multi-material problems

2002 ◽  
Vol 55 (2) ◽  
pp. 151-165 ◽  
Author(s):  
David J Benson
Keyword(s):  
Volume Of Fluid ◽  
Review Article ◽  
Arbitrary Lagrangian Eulerian ◽  
Fluid Interface ◽  
Reconstruction Methods ◽  
Interface Reconstruction

Volume of fluid interface reconstruction methods are used to resolve the interfaces between different materials in Eulerian and arbitrary Lagrangian Eulerian calculations. Their accuracy is critical to the overall accuracy of the calculation since the interfaces define the interactions between adjacent materials. The methods have evolved since the early 1960s, and the early criticisms of them no longer hold. In this review article, the differences between the methods and their relative strengths are reviewed, and 38 reference sources are used.

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.

Volume-of-Fluid Interface Tracking with Smoothed Surface Stress Methods for Three-Dimensional Flows

1999 ◽  
Vol 152 (2) ◽  
pp. 423-456 ◽  
Author(s):  
Denis Gueyffier ◽  
Jie Li ◽  
Ali Nadim ◽  
Ruben Scardovelli ◽  
Stéphane Zaleski
Keyword(s):  
Surface Stress ◽  
Three Dimensional ◽  
Volume Of Fluid ◽  
Interface Tracking ◽  
Fluid Interface

scholarly journals A Multi-Material CCALE-MOF Approach in Cylindrical Geometry

2014 ◽  
Vol 15 (2) ◽  
pp. 330-364 ◽  
Author(s):  
Marie Billaud Friess ◽  
Jérôme Breil ◽  
Pierre-Henri Maire ◽  
Mikhail Shashkov
Keyword(s):  
Fluid Flows ◽  
Cylindrical Geometry ◽  
Arbitrary Lagrangian Eulerian ◽  
Interface Reconstruction ◽  
Recent Developments ◽  
A Cell ◽  
Cylindrical Geometries ◽  
The Moment ◽  
New Formulation ◽  
Compressible Fluid Flows

AbstractIn this paper we present recent developments concerning a Cell-Centered Arbitrary Lagrangian Eulerian (CCALE) strategy using the Moment Of Fluid (MOF) interface reconstruction for the numerical simulation of multi-material compressible fluid flows on unstructured grids in cylindrical geometries. Especially, our attention is focused here on the following points. First, we propose a new formulation of the scheme used during the Lagrangian phase in the particular case of axisymmetric geometries. Then, the MOF method is considered for multi-interface reconstruction in cylindrical geometry. Subsequently, a method devoted to the rezoning of polar meshes is detailed. Finally, a generalization of the hybrid remapping to cylindrical geometries is presented. These explorations are validated by mean of several test cases using unstructured grid that clearly illustrate the robustness and accuracy of the new method.

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