Multi-material ALE computation in inertial confinement fusion code CHIC

We present a complete Arbitrary Lagrangian Eulerian (ALE) strategy devoted to the computation of multi-material fluid flows using the volume of fluid (VOF) interface reconstruction method applied to plasma physics and inertial confinement fusion (ICF). The interface tracking is coupled to a two-temperature hydrodynamics model in the framework of a collocated Lagrangian scheme. Some numerical examples, such hot shock tube problem and ICF-like problem, provide a clear evidence of the robustness and the accuracy of the method.

[1]  Jérôme Breil,et al.  Hybrid remap for multi-material ALE , 2011 .

[2]  Pierre-Henri Maire,et al.  A high-order cell-centered Lagrangian scheme for two-dimensional compressible fluid flows on unstructured meshes , 2009, J. Comput. Phys..

[3]  D. Benson Computational methods in Lagrangian and Eulerian hydrocodes , 1992 .

[4]  P. Knupp Achieving finite element mesh quality via optimization of the jacobian matrix norm and associated qu , 2000 .

[5]  Jérôme Breil,et al.  A two-dimensional unstructured cell-centered multi-material ALE scheme using VOF interface reconstruction , 2010, J. Comput. Phys..

[6]  S. P. Gill,et al.  Physics of Shock Waves and High-Temperature Hydrodynamic Phenomena , 2002 .

[7]  Jérôme Breil,et al.  A cell‐centred arbitrary Lagrangian–Eulerian (ALE) method , 2008 .

[8]  Jérôme Breil,et al.  A two‐dimensional VOF interface reconstruction in a multi‐material cell‐centered ALE scheme , 2011 .

[9]  Mikhail J. Shashkov,et al.  Reconstruction of multi-material interfaces from moment data , 2008, J. Comput. Phys..

[10]  Y. Zel’dovich,et al.  Gas Dynamics. (Book Reviews: Physics of Shock Waves and High-Temperature Hydrodynamic Phenomena. Vol. 1) , 1970 .

[11]  C. W. Hirt,et al.  An Arbitrary Lagrangian-Eulerian Computing Method for All Flow Speeds , 1997 .

[12]  L YoungsD,et al.  Time-dependent multi-material flow with large fluid distortion. , 1982 .

[13]  D. Durran Numerical Methods for Fluid Dynamics , 2010 .

[14]  Mikhail Shashkov,et al.  Published online in Wiley InterScience (www.interscience.wiley.com). DOI: 10.1002/fld.1574 Closure models for multimaterial cells in arbitrary Lagrangian–Eulerian hydrocodes ‡ , 2022 .

[15]  Rémi Abgrall,et al.  A Cell-Centered Lagrangian Scheme for Two-Dimensional Compressible Flow Problems , 2007, SIAM J. Sci. Comput..

[16]  Jérôme Breil,et al.  Shock ignition: modelling and target design robustness , 2009 .

[17]  Gregory A. Moses,et al.  Inertial confinement fusion , 1982 .

[18]  Jérôme Breil,et al.  A cell-centered diffusion scheme on two-dimensional unstructured meshes , 2007, J. Comput. Phys..