2008
DOI: 10.1051/proc:2008026
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A cell-centered Arbitrary Lagrangian Eulerian (ALE) method for multi-material compressible flows

Abstract: Abstract. We present an original and accurate unstructured cell-centered ALE algorithm devoted to the simulation of two-dimensional multi-material compressible fluid flows. Gas dynamics equations are discretized with an unstructured finite volume scheme.Résumé. Nous présentons dans cet article une méthode du type ALE appliquéeà la résolution d'écoulements multimatériaux compressibles. Leséquations de la dynamique des gaz sont discrétisées sur des maillages non structurés en utilisant un schéma du type volume f… Show more

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Cited by 6 publications
(5 citation statements)
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“…It was cast as a reduced domain test problem in [94] and was mentioned but not specified in [64]. More recent Lagrange and ALE calculations were done by Maire [69]. It has since been calculated by a number of authors [46,66,59,60,67,20,17,19,18].…”
Section: Triple Point Problemmentioning
confidence: 99%
“…It was cast as a reduced domain test problem in [94] and was mentioned but not specified in [64]. More recent Lagrange and ALE calculations were done by Maire [69]. It has since been calculated by a number of authors [46,66,59,60,67,20,17,19,18].…”
Section: Triple Point Problemmentioning
confidence: 99%
“…Several smoothing methods are available, each with varying complexity and computational costs. Three commonly used methods include [34][35][36][37][38]: (i) elliptic mesh generation smoothing, such as the Laplacian smoothing [35,[39][40][41][42][43][44][45]; (ii) forced-based smoothing, using spring-like methods [34,46]; (iii) smoothing methods based on structural mechanics, such as elastic smoothing [36,37,47] (sometimes with the combination of the FEM Jacobian-based stiffening [48,49]) or hyperelastic smoothing [50][51][52].…”
mentioning
confidence: 99%
“…However, in timedependent problems, solving the Laplacian of coordinate velocities is preferred. This approach prevents the introduction of velocities in directions other than the boundary velocity at adjacent mesh points, while preserving initial element size ratios and reducing the risk of element inversions during time-dependent simulations [35,43,45]. Even when movements are relatively small, it is essential to check the mesh elements after each simulation run and choose an appropriate mesh element size.…”
mentioning
confidence: 99%
“…On the other hand, Eulerian methods, which use level sets and ghost fluid approaches, have issues of mass conservation resulting in loss/gain of mass of material while undergoing large deformation [6,13,14,15,16]. There are some other methods such as Smooth Particle Hydrodynamics [17], which is a variant of Lagrangian method, designed to handle severe deformations and where the location of the material interface is not as important and Arbitrary Lagrangian Eulerian methods, which optimize the solution by allowing the mesh inside the domain to move arbitrary while mesh attached to the interface moves precisely to track the interface [18,19,20,21].…”
Section: Introductionmentioning
confidence: 99%