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V. Tomov

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Preprint Sep 2026

Slip Wall Boundary Conditions in Curved Domains for Finite Element ALE Hydrodynamics

We present a high-order finite element arbitrary Lagrangian-Eulerian (ALE) method for hydrodynamics with slip-wall boundary conditions on analytically curved domains. The method combines distinct Lagrangian, remesh, and remap phases while preserving the geometric features of curved boundaries and allowing tangential mo...

N. Atallah, Kevin Sweet, Paul Moujaes et al. · 0 citations
Case report Sep 2026

Implicit Lagrangian Hydrodynamics with High-Order Finite Elements

A smooth artificial viscosity treatment based on smooth approximations of non-differentiable pointwise operations is introduced based on smooth approximations of non-differentiable pointwise operations to ensure robust and differentiable nonlinear solves in the presence of shocks.

Julian Andrej, Jean-Sylvain Camier, V. Dobrev et al. · 0 citations

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