Stokes equations in spectral spaceturbulent energy, scales of random motion ‐ of passing interestenergy cascade, kinetic energy flow ‐ from largescale eddies ‐ to small‐scale eddiestriad interactions in homogeneous turbulenceKolmogoroff's inertial‐range theory ‐ dominant interactions in inertial ...
This chapter provides an introductory review to the fundamentals of the RANS approach and the major classes of turbulence models used to approximate the Reynolds stresses – the correlations of turbulent velocity fluctuations that arise upon Reynolds-averaging of the Navier–Stokes equations. The ...
We discretize the incompressible Navier–Stokes equations on a polytopal mesh by using mimetic reconstruction operators. The resulting method conserves discrete mass, momentum, and kinetic energy in the inviscid limit, and determines the vorticity such that the global vorticity is consistent with the ...
O. Ladyzhenskaya, Initial-boundary problem for Navier-Stokes equations in domains with time-varing boundaries, in Boundary Value Problems of Mathematical Physics and Related Aspects of Function Theory III, edited by O. Ladyzhenskaya, Consultants Bureau, New York, 1970, 35-46. Original in Russian...
Time-dependent Navier–Stokes equationsnoncompact domainstime-dependent Poiseuille flowglobal existenceThe time-dependent Navier–Stokes system is studied in a two-dimensional domain with strip-like outlets to infinity in weighted Sobolev function spaces. It is proved that under natural compatibility ...
A system of Navier–Stokes-type equations with two temperatures is derived, for a polyatomic gas with temperature-dependent specific heats (thermally perfect gas), from the ellipsoidal statistical (ES) model of the Boltzmann equation extended to such a gas. Subsequently, the system is applied to ...
2025, 9(1), 23; https://doi.org/10.3390/fractalfract9010023 ActionDateNotesLink article xml file uploaded 31 December 2024 15:55 CET Original file - article xml uploaded. 31 December 2024 15:55 CET Update https://www.mdpi.com/2504-3110/9/1/23/xml article pdf uploaded. 31 December 202...
Navier–Stokes equationsEnd-point regularity criterionBy taking full advantage of the regularity of the vertical velocity component, we could be able to show a regularity criterion in terms of the vertical velocity component, and the vertical derivative of the horizontal velocity components, which ...
doi:10.1002/9781118713075.ch6fluid–wall interfaceFourier's linear conduction lawheat fluxNavier–Stokes equationsNewton's viscosity lawNewtonian fluidsshear stressthermal energyPanton, Ronald LJohn Wiley & Sons, Inc.
Stokes equationsvelocity–In the present work, an indirect boundary integral method for the numerical solution of Navier–Stokes equations formulated in velocity–vorticity dependent variables is proposed. This wholly integral approach, based on Helmholtz's decomposition, deals directly with the vorticity ...