๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

The two-dimensional Navier-Stokes-Kuramoto-Sivashinsky equation on the Connection Machine

โœ Scribed by S. Gama; U. Frisch

Publisher
Elsevier Science
Year
1995
Weight
889 KB
Volume
6
Category
Article
ISSN
0956-0521

No coin nor oath required. For personal study only.

โœฆ Synopsis

The two-dimensional Navier Stokes equations with a large scale instability of the Kuramoto-Sivashinsky type, describing marginally negative eddy viscosity situations, is simulated on a Connection Machine CM-2. Up to millions of time steps at the resolution 2562 and tens of thousands at the resolution I0242 are performed. A linear growth phase, a disorganized inverse cascade phase and a structured vortical phase are successively observed. In the vortical phase monopolar and multipolar structures are proliferating and display strongly depleted nonlinearities.

๐Ÿ“œ SIMILAR VOLUMES

On a multilevel approach for the two dim
On a multilevel approach for the two dimensional Navierโ€“Stokes equations with finite elements
โœ C. Calgaro; A. Debussche; J. Laminie ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 377 KB ๐Ÿ‘ 2 views

We study if the multilevel algorithm introduced in Debussche et al. (Theor. Comput. Fluid Dynam., 7, 279ยฑ315 (1995)) and Dubois et al. (J. Sci. Comp., 8, 167ยฑ194 (1993)) for the 2D NavierยฑStokes equations with periodic boundary conditions and spectral discretization can be generalized to more genera

A finite element approximation of the un
A finite element approximation of the unsteady two-dimensional Navierโ€“Stokes equations
โœ F. N. Van De Vosse; A. ลšegal; A. A. Van Steenhoven; J. D. Janssen ๐Ÿ“‚ Article ๐Ÿ“… 1986 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 726 KB

In this paper a penalty finite element solution method for the unsteady Navier-Stokes equations for two-dimensional incompressible flow is described. The performances of the Euler implicit (El) and the Crank-Nicolson (CN) time integration methods are analysed. Special attention is payed to the undam

Spectral solutions of the Navier-Stokes
Spectral solutions of the Navier-Stokes equations in arbitrary two-dimensional domains
โœ Z.U.A. Warsi; G.P. Koomullil ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 580 KB

This paper is intended to demonstrate the use of numerical grids generated by spectral techniques in the solution of the Navier-Stokes equations also obtained by using spectral techniques. This effort thus extends the applicability of spectral techniques to arbitrary domains. In this paper, only 2D