Extension of efficient, swept‐integration‐based conservative remapping method for meshes with changing connectivity

Kuchařík, Milan; Shashkov, Mikhail

doi:10.1002/fld.1577

Cited by 19 publications

(20 citation statements)

References 8 publications

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“…Thus, it is utilized for ALE computation wherein the multi-material modeling is performed using concentration equations. We note that an extension of this method to polygonal grids with connectivity changing in a Voronoi-like manner has been recently developed 3 [31]. The second approach is the cell-intersection-based method.…”

Section: Introductionmentioning

confidence: 99%

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

Galera

Maire

Breil

2010

Journal of Computational Physics

186

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: Introductionmentioning

confidence: 99%

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

Galera

Maire

Breil

2010

Journal of Computational Physics

186

218

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“…Their common face has been removed on the new mesh, and a new face has appeared between

{\overset{c}{false}}_{2}

and

{\overset{c}{false}}_{4}

. This type of reconnection, where one edge is removed and another one appears, is called Voronoi‐like reconnection . We want to notice that the method we define here for Voronoi‐like reconnection is different from the method proposed in , which consists of a swept‐integration‐based method where we shrink faces into a single node.…”

Section: The Reale Strategymentioning

confidence: 99%

A swept‐intersection‐based remapping method in a ReALE framework

Harribey

Breil

Maire

et al. 2012

Numerical Methods in Fluids

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SUMMARY A complete reconnection‐based arbitrary Lagrangian–Eulerian (ReALE) strategy devoted to the computation of hydrodynamic applications for compressible fluid flows is presented here. In ReALE, we replace the rezoning phase of classical ALE method by a rezoning where we allow the connectivity between cells of the mesh to change. This leads to a polygonal mesh that recovers the Lagrangian features in order to follow more efficiently the flow. Those reconnections allow to deal with complex geometries and high vorticity problems contrary to ALE method. For optimizing the remapping phase, we have modified the idea of swept‐integration‐based. The new method is called swept‐intersection‐based remapping method. We demonstrate that our method can be applied to several numerical examples representative of hydrodynamic experiments.Copyright © 2012 John Wiley & Sons, Ltd.

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“…One challenge of those single phase simulations are changes in topology of the volume occupied by water. This is difficult to handle, as neighbors have to be searched as soon as two water volumes unify [3].…”

Section: Introductionmentioning

confidence: 99%