Finite Element Algorithms and Research Topics in ALE Hydrodynamics

Explore high-order finite element methods for shock hydrodynamics simulations in this seminar presented by LLNL computational mathematician Vladimir Tomov. Delve into Arbitrary Lagrangian-Eulerian (ALE) formulation, covering Lagrangian shock hydrodynamics on curved meshes, multi-material closure models, and coupling to multigroup radiation diffusion. Examine mesh optimization techniques, including r-adaptivity and surface fitting of high-order meshes, as well as advection-based remap with nonlinear sharpening of material interfaces. Discover computationally efficient finite element kernels based on partial assembly and sum factorization. Gain insights into existing methods, outstanding research challenges, and ongoing work in the field of ALE hydrodynamics.

Introduction
Welcome
Things to know
Quick overview
Graduation phase
Further details
Mixed zones
Closure model
Results
Interface Reconstruction
Curved Interface
Mesh Optimization
Mesh Adaptivity
Local Optimization
Fitting
Remap
Weak Form
Remapping
Simulations
Profile Sharpness
Diffusion
Radiation Diffusion
Mesh Motion
Visualization
Performance
Design Center
Summary
Questions
Mixed Mesh