Computational methods in Lagrangian and Eulerian hydrocodes
Computer Methods in Applied Mechanics and Engineering
Introduction to “An arbitrary Lagrangian-Eulerian computing method for all flow speeds”
Journal of Computational Physics - Special issue: commenoration of the 30th anniversary
Three-Dimensional Front Tracking
SIAM Journal on Scientific Computing
The construction of compatible hydrodynamics algorithms utilizing conservation of total energy
Journal of Computational Physics
A critical analysis of Rayleigh-Taylor growth rates
Journal of Computational Physics
Reference Jacobian optimization-based rezone strategies for arbitrary Lagrangian Eulerian methods
Journal of Computational Physics
Algebraic Mesh Quality Metrics
SIAM Journal on Scientific Computing
Fast and accurate computation of polyhedral mass properties
Journal of Graphics Tools
Second-order sign-preserving conservative interpolation (remapping) on general grids
Journal of Computational Physics
On the computation of multi-material flows using ALE formulation
Journal of Computational Physics
Untangling of 2D meshes in ALE simulations
Journal of Computational Physics
Multi-material interface reconstruction on generalized polyhedral meshes
Journal of Computational Physics
A Cell-Centered Lagrangian Scheme for Two-Dimensional Compressible Flow Problems
SIAM Journal on Scientific Computing
Reconstruction of multi-material interfaces from moment data
Journal of Computational Physics
Journal of Computational Physics
A comparative study of interface reconstruction methods for multi-material ALE simulations
Journal of Computational Physics
A general topology Godunov method
Journal of Computational Physics
ReALE: A reconnection-based arbitrary-Lagrangian-Eulerian method
Journal of Computational Physics
Journal of Computational Physics
Two-step hybrid conservative remapping for multimaterial arbitrary Lagrangian-Eulerian methods
Journal of Computational Physics
Journal of Computational Physics
Towards front-tracking based on conservation in two space dimensions III, tracking interfaces
Journal of Computational Physics
Conservative multi-material remap for staggered multi-material Arbitrary Lagrangian-Eulerian methods
Journal of Computational Physics
Journal of Computational Physics
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We present a new cell-centered multi-material arbitrary Lagrangian-Eulerian (ALE) scheme to solve the compressible gas 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 cell-centered remap phase which consists of 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.