Navier - Stokes equations

There are many results involving PDEs in fluid mechanics with delays and many results about asymptotic behavior to PDEs. Navier-Stokes equations with delays have been studied extensively over the last decades, for their important contributions to understanding fluid motion and turbulence.

8p vijiraiya 19-05-2025 1 1   Download

The current research is undertaken by performing Computational Fluid Dynamics (CFD) simulations for a 2D aerofoil fitted with a shock control bump at a transonic flow condition. Reynolds-Averaged Navier-Stokes equation coupled with turbulence models is adopted to solve the flowfield. The bump has a conventional geometric feature which consists of a ramp, a crest and a tail, and it has eight variants for which the designed parameters are reasonably specified according to the compressible aerodynamics theory.

84p runthenight04 02-02-2023 12 3   Download

In this paper we prove the global existence and uniqueness (regularity) of strong solutions to the three-dimensional viscous primitive equations, which model large scale ocean and atmosphere dynamics. 1. Introduction Large scale dynamics of oceans and atmosphere is governed by the primitive equations which are derived from the Navier-Stokes equations, with rotation, coupled to thermodynamics and salinity diffusion-transport equations, which account for the buoyancy forces and stratification effects under the Boussinesq approximation. ...

24p noel_noel 17-01-2013 51 7   Download

The stochastic 2D Navier-Stokes equations on the torus driven by degenerate noise are studied. We characterize the smallest closed invariant subspace for this model and show that the dynamics restricted to that subspace is ergodic. In particular, our results yield a purely geometric characterization of a class of noises for which the equation is ergodic in L2 (T2 ). Unlike previous 0 works, this class is independent of the viscosity and the strength of the noise.

41p noel_noel 17-01-2013 50 10   Download