Erratum: The Interplay of Curvature and Vortices in Flow on Curved Surfaces

DOI10.1137/18M1176464zbMath1403.35243OpenAlexW2892641321WikidataQ129184291 ScholiaQ129184291MaRDI QIDQ4689159

Sebastian Reuther, Axel Voigt

Publication date: 15 October 2018

Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/18m1176464

zbMATH Keywords

interfacecurved surfacesgeometric force

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Computational aspects of algebraic surfaces (14Q10) Applications of differential geometry to physics (53Z05) Superfluids (classical aspects) (76A25) Viscous vortex flows (76D17)

Related Items (12)

Finite Element Discretization Methods for Velocity-Pressure and Stream Function Formulations of Surface Stokes Equations ⋮ Derivation and simulation of a two-phase fluid deformable surface model ⋮ A numerical approach for fluid deformable surfaces with conserved enclosed volume ⋮ Tangential Navier–Stokes equations on evolving surfaces: Analysis and simulations ⋮ An evolving space framework for Oseen equations on a moving domain ⋮ A numerical approach for fluid deformable surfaces ⋮ Axisymmetric flows on the torus geometry ⋮ Liquid crystals on deformable surfaces ⋮ Navier-Stokes equations in a curved thin domain. III: Thin-film limit ⋮ Modelling fluid deformable surfaces with an emphasis on biological interfaces ⋮ Inf-sup stability of the trace $\mathbf {P}_2$–$P_1$ Taylor–Hood elements for surface PDEs ⋮ Finite element error analysis of surface Stokes equations in stream function formulation

Uses Software

• AMDiS

Cites Work

• Software concepts and numerical algorithms for a scalable adaptive parallel finite element method
• Nonlinear elasticity in a deforming ambient space
• A finite element approach to incompressible two-phase flow on manifolds
• Energetic variational approaches for incompressible fluid systems on an evolving surface
• A Trace Finite Element Method for Vector-Laplacians on Surfaces
• The Interplay of Curvature and Vortices in Flow on Curved Surfaces

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