Two-dimensional Navier-Stokes equations with a large-scale instability of the Kuramoto-Sivashinsky type. Numerical exploration on the Connection Machine

• Type: Article in International Scientific Journal
• Date: 1991

Authors

Gama, S (Author) FEUP; Frisch, U (Author) Other; Scholl, H (Author) Other

Journal

Title: Journal of Scientific Computing

Vol. 6

Pages: 425-452

ISSN: 0885-7474

Publisher: Springer Nature

Indexing

ISI Web of Knowledge

Scopus - 10 Citations

Other information

Authenticus ID: P-007-5GP

DOI: 10.1007/bf01060033

Abstract (EN): 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 256 and tens of thousands at the resolution 1024 are performed. Advantage is taken of a novel complex variable form of the two-dimensional Navier-Stokes equations, which requires only two complex FFTs per time step. 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.

Language: English

Type (Professor's evaluation): Scientific