Twisting in Hamiltonian flows and perfect fluids [PDF]
Inventiones Mathematicae, 2023 We introduce a notion of stability for non-autonomous Hamiltonian flows on two-dimensional annular surfaces. This notion of stability is designed to capture the sustained twisting of particle trajectories.
Theodore D. Drivas +2 more
semanticscholar +3 more sources
Coupling Navier-Stokes and Gross-Pitaevskii equations for the numerical simulation of two-fluid quantum flows [PDF]
Journal of Computational Physics, 2022 Numerical methods for solving the Navier-Stokes equations for classical (or normal) viscous fluids are well established. This is also the case for the Gross-Pitaevskii equation, governing quantum inviscid flows (or superfluids) in the zero temperature ...
M. Brachet +4 more
semanticscholar +3 more sources
Vortex simulations of the Rayleigh–Taylor instability [PDF]
, 1980 A vortex technique capable of calculating the Rayleigh–Taylor instability to large amplitudes in inviscid, incompressible, layered flows is introduced. The results show the formation of a steady‐state bubble at large times, whose velocity is in agreement
G. Baker, D. Meiron, S. Orszag
semanticscholar +2 more sources
Hybrid High-Order formulations with turbulence modelling capabilities for incompressible flow problems [PDF]
Computers & FluidsWe propose a Hybrid High-Order (HHO) formulation of the incompressible Navier--Stokes equations, that is well suited to be employed for the simulation of turbulent flows.
L. Botti, D. D. Pietro, F. Massa
semanticscholar +2 more sources
Twisting vortex lines regularize Navier-Stokes turbulence. [PDF]
Sci AdvFluid flows are intrinsically characterized via the topology and dynamics of underlying vortex lines. Turbulence in common fluids like water and air, mathematically described by the incompressible Navier-Stokes equations (INSE), engenders spontaneous ...
Buaria D, Lawson JM, Wilczek M.
europepmc +3 more sources
ACM Transactions on Graphics, 2023 The vorticity-streamfunction formulation for incompressible inviscid fluids is the basis for many fluid simulation methods in computer graphics, including vortex methods, streamfunction solvers, spectral methods, and Monte Carlo methods.
Hang Yin +4 more
semanticscholar +1 more source
The HyperCASL algorithm: A new approach to the numerical simulation of geophysical flows [PDF]
, 2009 We describe a major extension to the Contour-Advective Semi-Lagrangian (CASL) algorithm (Dritschel & Ambaum 1997, 2006). The extension, called ‘HyperCASL’ (HCASL), uses Lagrangian advection of material potential vorticity contours like CASL, but a Vortex-
Fontane, Jérôme +4 more
core +1 more source
Intermittency and Lower Dimensional Dissipation in Incompressible Fluids [PDF]
Archive for Rational Mechanics and Analysis, 2022 In the context of incompressible fluids, the observation that turbulent singular structures fail to be space filling is known as “intermittency”, and it has strong experimental foundations.
Luigi De Rosa, Philip Isett
semanticscholar +1 more source
Numerical evidence of anomalous energy dissipation in incompressible Euler flows: towards grid-converged results for the inviscid Taylor–Green problem [PDF]
Journal of Fluid Mechanics, 2020 The well-known energy dissipation anomaly in the inviscid limit, related to velocity singularities according to Onsager, still needs to be demonstrated by numerical experiments. The present work contributes to this topic through high-resolution numerical
Niklas Fehn +3 more
semanticscholar +1 more source
Vortical control of forced two-dimensional turbulence [PDF]
, 2013 A new numerical technique for the simulation of forced two-dimensional turbulence (Dritschel and Fontane, 2010) is used to examine the validity of Kraichnan-Batchelor scaling laws at higher Reynolds number than previously accessible with classical pseudo-
Fontane, Jérôme +8 more
core +1 more source