A comparative study of interface reconstruction methods for multi-material ALE simulations

Kuchařík, Milan; Garimella, Rao V.; Schofield, Samuel P.; Shashkov, Mikhail

doi:10.1016/j.jcp.2009.07.009

Cited by 107 publications

(53 citation statements)

References 26 publications

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“…13. The three-material extension of this problem using the Moment-of-Fluid method has been presented in [30] 1, 1, 0). The sub-domain Ω 2 contains a low-pressure high-density fluid whose initial state is (ρ 2 , P 2 , U 2 ) = (1, 0.1, 0).…”

Section: Triple Point Problemmentioning

confidence: 99%

A two-dimensional unstructured cell-centered multi-material ALE scheme using VOF interface reconstruction

Galera

Maire

Breil

2010

Journal of Computational Physics

183

218

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We present a new cell-centered multi-material Arbitrary Lagrangian Eulerian (ALE) scheme to solve the compressible gaz dynamics equations on two-dimensional unstructured grid. Our ALE method is of the explicit time-marching Lagrange plus remap type. Namely, it involves the following three phases: a Lagrangian phase wherein the flow is advanced using a cell-centered scheme; a rezone phase in which the nodes of the computational grid are moved to more optimal positions; a cellcentered remap phase which consists in interpolating conservatively the Lagrangian solution onto the rezoned grid. The multi-material modeling utilizes either concentration equations for miscible fluids or the Volume Of Fluid (VOF) capability with interface reconstruction for immiscible fluids. The main original feature of this ALE scheme lies in the introduction of a new mesh relaxation procedure which keeps the rezoned grid as close as possible to the Lagrangian one. In this formalism, the rezoned grid is defined as a convex combination between the Lagrangian grid and the grid resulting from condition number smoothing. This convex combination is constructed through the use of a scalar parameter which is a scalar function of the invariants of the Cauchy-Green tensor over the Lagrangian phase. Regarding the cell-centered remap phase, we employ two classical methods based on a partition of the rezoned cell in terms of its overlap with the Lagrangian cells. The first one is a simplified swept face-based method whereas the second one is a cell-intersection-based method. Our multi-material ALE methodology is assessed through several demanding two-dimensional tests. The corresponding numerical results provide a clear evidence of the robustness and the accuracy of this new scheme.

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Section: Triple Point Problemmentioning

confidence: 99%

A two-dimensional unstructured cell-centered multi-material ALE scheme using VOF interface reconstruction

Galera

Maire

Breil

2010

Journal of Computational Physics

183

218

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“…These methods may cause excessive surface smoothing and are often augmented with tracker particles to help maintain surface detail [Foster and Fedkiw 2001;Losasso et al 2008]. Volumeof-fluid methods are used for computational fluid dynamics problems [Kucharik et al 2010], but they are rarely used in graphics as their focus is not on visual quality.…”

Section: Related Workmentioning

confidence: 99%

Simulating liquids and solid-liquid interactions with lagrangian meshes

et al. 2013

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This paper describes a Lagrangian finite element method that simulates the behavior of liquids and solids in a unified framework. Local mesh improvement operations maintain a high-quality tetrahedral discretization even as the mesh is advected by fluid flow. We conserve volume and momentum, locally and globally, by assigning each element an independent rest volume and adjusting it to correct for deviations during remeshing and collisions. Incompressibility is enforced with per-node pressure values, and extra degrees of freedom are selectively inserted to prevent pressure locking. Topological changes in the domain are explicitly treated with local mesh splitting and merging. Our method models surface tension with an implicit formulation based on surface energies computed on the boundary of the volume mesh.With this method we can model elastic, plastic, and liquid materials in a single mesh, with no need for explicit coupling. We also model heat diffusion and thermoelastic effects, which allow us to simulate phase changes. We demonstrate these capabilities in several fluid simulations at scales from millimeters to meters, including simulations of melting caused by external or thermoelastic heating.

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“…Also in future we will incorporate interface reconstruction methods such as volume of fluid (VOF) [100,102] and moment of fluid (MOF) [49,2,72]. Moreover we plan to incorporate more advanced closure models for mixed multimaterial cells, [107].…”

Section: Discussionmentioning

confidence: 99%

ReALE: A reconnection-based arbitrary-Lagrangian–Eulerian method

Loubère

Maire

Shashkov

et al. 2010

Journal of Computational Physics

183

130

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We present a new reconnection-based Arbitrary Lagrangian Eulerian (ALE) method. The main elements in a standard ALE simulation are an explicit Lagrangian phase in which the solution and grid are updated, a rezoning phase in which a new grid is defined, and a remapping phase in which the Lagrangian solution is transferred (conservatively interpolated) onto the new grid. In standard ALE methods the new mesh from the rezone phase is obtained by moving grid nodes without changing connectivity of the mesh. Such rezone strategy has its limitation due to the fixed topology of the mesh. In our new method we allow connectivity of the mesh to change in rezone phase, which leads to general polygonal mesh and allows to follow Lagrangian features of the mesh much better than for standard ALE methods. Rezone strategy with reconnection is based on using Voronoi tessellation. We demonstrate performance of our new method on series of numerical examples and show it superiority in comparison with standard ALE methods without reconnection.

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A comparative study of interface reconstruction methods for multi-material ALE simulations

Cited by 107 publications

References 26 publications

A two-dimensional unstructured cell-centered multi-material ALE scheme using VOF interface reconstruction

A two-dimensional unstructured cell-centered multi-material ALE scheme using VOF interface reconstruction

Simulating liquids and solid-liquid interactions with lagrangian meshes

ReALE: A reconnection-based arbitrary-Lagrangian–Eulerian method

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