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physics.flu-dyn2025★ 2 cited
A curvilinear surface ALE formulation for self-evolving Navier-Stokes manifolds - Stabilized finite element formulation
Roger A. Sauer
This work presents a stabilized finite element formulation of the arbitrary Lagrangian-Eulerian (ALE) surface theory for Navier-Stokes flow on self-evolving manifolds developed in…
physics.flu-dyn2025★ 1 cited
A curvilinear surface ALE formulation for self-evolving Navier-Stokes manifolds -- General theory and analytical solutions
Roger A. Sauer
A new arbitrary Lagrangian-Eulerian (ALE) formulation for Navier-Stokes flow on self-evolving surfaces is presented. It is based on a general curvilinear surface parameterization t…
physics.flu-dyn2017
A strategy to interface isogeometric analysis with Lagrangian finite elements - application to fluid-structure interaction problems
Raheel Rasool, Maximilian Harmel, Roger A. Sauer
Isogeometrically enriched finite elements offer efficient localized isogeometric analysis (IGA) enrichment for numerical simulations involving large computational domains. This is…