Density variations in weakly compressible flows

DOI10.1063/1.858275zbMath0756.76061OpenAlexW1995621805MaRDI QIDQ3992339

C. David Levermore, B. J. Bayly, Thierry Passot

Publication date: 13 August 1992

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

Full work available at URL: https://doi.org/10.1063/1.858275

zbMATH Keywords

asymptotic expansioncompressible Navier-Stokes equationsentropy fluctuationsKolmogorov-Obukhov theory

Mathematics Subject Classification ID

Turbulence (76F99) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items

High order nonlinear filter methods for subsonic turbulence simulation with stochastic forcing, Kinetic equations: a French history, Incompressible hydrodynamics as a limit of the Boltzmann equation, The mathematical theory of low Mach number flows, On the existence of weak solutions to the equations of steady flow of heat-conducting fluids with dissipative heating, Nearly incompressible fluids. II: Magnetohydrodynamics, turbulence, and waves, A numerical study of supersonic turbulence, Cascades of temperature and entropy fluctuations in compressible turbulence, Buoyancy-driven viscous flow with \(L^1\)-data, Instabilities in compressible attachment–line boundary layers, Incompressible ionized fluid mixtures, Long-time effects of bottom topography in shallow water, Entropy inequality and hydrodynamic limits for the Boltzmann equation, Fluctuations of thermodynamic variables in stationary compressible turbulence, Finite element approximation and preconditioning for anisothermal flow of implicitly-constituted non-Newtonian fluids

Cites Work

• Small-scale variation of convected quantities like temperature in turbulent fluid Part 1. General discussion and the case of small conductivity
• Pressure spectra in turbulent free shear flows
• Numerical simulation of compressible homogeneous flows in the turbulent regime
• Nearly incompressible magnetohydrodynamics at low Mach number
• The equations of motion for thermally driven, buoyant flows
• Problems with different time scales for partial differential equations
• Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids
• The equations of nearly incompressible fluids. I. Hydrodynamics, turbulence, and waves
• The fluctuations of density in isotropic turbulence
• On the Spectrum of Isotropic Temperature Fluctuations in an Isotropic Turbulence