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Numerical evidence of anomalous energy dissipation in incompressible Euler flows: towards grid-converged results for the inviscid Taylor–Green problem - MaRDI portal

Numerical evidence of anomalous energy dissipation in incompressible Euler flows: towards grid-converged results for the inviscid Taylor–Green problem (Q3385599)

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English	Numerical evidence of anomalous energy dissipation in incompressible Euler flows: towards grid-converged results for the inviscid Taylor–Green problem	scientific article

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scholarly article

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Numerical evidence of anomalous energy dissipation in incompressible Euler flows: towards grid-converged results for the inviscid Taylor–Green problem (English)

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Martin Kronbichler

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Wolfgang A. Wall

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Journal of Fluid Mechanics

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publication date

20 December 2021

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full work available at URL

https://arxiv.org/abs/2007.01656

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zbMATH Keywords

computational methods

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Navier-Stokes equations

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turbulence theory

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MaRDI profile type

MaRDI publication profile

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Development of high vorticity structures in incompressible 3D Euler equations

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Dispersive and dissipative behaviour of high order discontinuous Galerkin finite element methods

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The deal.II library, version 9.0

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The \textsc{deal.II} finite element library: design, features, and insights

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Remarks on the breakdown of smooth solutions for the 3-D Euler equations

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Direct numerical simulation of transition to turbulence from a high-symmetry initial condition

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Small-scale structure of the Taylor–Green vortex

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Numerical evidence of smooth self-similar dynamics and possibility of subsequent collapse for three-dimensional ideal flows

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Weak-strong uniqueness for measure-valued solutions

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Performance of under-resolved two-dimensional incompressible flow simulations

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Dissipative Euler Flows with Onsager-Critical Spatial Regularity

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Onsager's Conjecture for Admissible Weak Solutions

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Nonuniqueness of weak solutions to the Navier-Stokes equation

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Convex integration and phenomenologies in turbulence

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Evolution of complex singularities in Kida–Pelz and Taylor–Green inviscid flows

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Onsager's conjecture on the energy conservation for solutions of Euler's equation

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Non-uniqueness for the Euler equations up to Onsager's critical exponent

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Energy dissipation without viscosity in ideal hydrodynamics. I: Fourier analysis and local energy transfer

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Holder Continuous Euler Flows in Three Dimensions with Compact Support in Time

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Energy spectra power laws and structures

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Vortex events in Euler and Navier–Stokes simulations with smooth initial conditions

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Symmetry and the hydrodynamic blow-up problem

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Divergence-free \(H(\operatorname{div})\)-FEM for time-dependent incompressible flows with applications to high Reynolds number vortex dynamics

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Numerical convergence study of nearly incompressible, inviscid Taylor-Green vortex flow

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An update on the energy dissipation rate in isotropic turbulence

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Tracing complex singularities with spectral methods

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Weak-Strong Uniqueness in Fluid Dynamics

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Identifiers

Mathematics Subject Classification ID

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zbMATH DE Number

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10.1017/JFM.2021.1003

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Sitelinks

Mathematics(1 entry)

mardi Publication:3385599

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