Inertial range statistics of Burgers turbulence

DOI10.1063/1.868388zbMath0876.76035OpenAlexW1964467602MaRDI QIDQ4851115

Toshiyuki Gotoh

Publication date: 25 November 1997

Published in: Physics of Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.868388

zbMATH Keywords

Gaussian fieldHopf-Cole transformNavier-Stokes turbulencemethod of mapping closure

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Navier-Stokes equations (35Q30) Turbulence (76F99)

Related Items

Probability density functions in steady-state Burgers turbulence, On the statistical solution of the Riemann equation and its implications for Burgers turbulence, Application of mapping closure to non-Gaussian velocity fields, Turbulence theories and statistical closure approaches, Velocity field statistics in homogeneous steady turbulence obtained using a high-resolution direct numerical simulation, Statistics of turbulence in a generalized random-force-driven Burgers equation, Steady-state Burgers turbulence with large-scale forcing, Instanton based importance sampling for rare events in stochastic PDEs, Small-scale two-dimensional turbulence shaped by bulk viscosity

Cites Work

• Mapping closures for turbulent mixing and reaction
• Statistics of shocks in solutions of inviscid Burgers equation
• The inviscid Burgers equation with initial data of Brownian type
• Velocity probability density functions of high Reynolds number turbulence
• Some specific features of atmospheric tubulence
• A refinement of previous hypotheses concerning the local structure of turbulence in a viscous incompressible fluid at high Reynolds number
• Asymptotic properties of Burgers turbulence
• An analytical solution for the scalar probability density function in homogeneous turbulence
• On the multifractal properties of the energy dissipation derived from turbulence data
• Mapping closure and non-Gaussianity of the scalar probability density functions in isotropic turbulence
• A mapping closure for turbulent scalar mixing using a time-evolving reference field
• Intermittent turbulence in self-similar cascades: divergence of high moments and dimension of the carrier
• Convection of a passive scalar by a quasi-uniform random straining field
• A simple dynamical model of intermittent fully developed turbulence
• Statistics of an advected passive scalar
• Models of intermittency in hydrodynamic turbulence
• Statistics of decaying Burgers turbulence
• On Kolmogorov's inertial-range theories
• Lagrangian-History Statistical Theory for Burgers' Equation
• Statistical mechanics of the Burgers model of turbulence
• The multifractal nature of turbulent energy dissipation
• The spatial structure and statistical properties of homogeneous turbulence
• The partial differential equation u_t + uu_x = μ_xx
• On a quasi-linear parabolic equation occurring in aerodynamics