𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Application of the Spectral Multidomain Method to the Navier-Stokes Equations

✍ Scribed by G. Danabasoglu; S. Biringen; C.L. Streett


Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
458 KB
Volume
113
Category
Article
ISSN
0021-9991

No coin nor oath required. For personal study only.

✦ Synopsis


An application of the spectral multidomain method to the twodimensional, time-dependent, incompressible Navier-Stokes equations is presented. The governing equations are discretized on a nonstaggered, stretched mesh with a mixed finite difference/Chebyshev method and are integrated by a time-splitting procedure. The accuracy of the multidomain method is demonstrated for two different channel flow configurations, one with a backward-facing step and the other with a rectangular step. The method is then applied to the investigation of the effects of an isolated, two-dimensional roughness element on the spatial development of instability waves in boundary layers. C) 1994 Academic Press, Inc.


πŸ“œ SIMILAR VOLUMES


A Staggered-Grid Multidomain Spectral Me
✍ David A. Kopriva πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 621 KB

We present a flexible, non-conforming staggered-grid Chebyshev spectral multidomain method for the solution of the compressible Navier-Stokes equations. In this method, subdomain corners are not included in the approximation, thereby simplifying the subdomain connectivity. To allow for local refinem

Chebyshev collocation method and multido
✍ A. Pinelli; A. Vacca πŸ“‚ Article πŸ“… 1994 πŸ› John Wiley and Sons 🌐 English βš– 1009 KB

The two-dimensional incompressible Navier-Stokes equations in primitive variables have been solved by a pseudospectral Chebyshev method using a semi-implicit fractional step scheme. The latter has been adapted to the particular features of spectral collocation methods to develop the monodomain algor

A Divergence-Free Multidomain Spectral S
✍ C. Sabbah; R. Pasquetti πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 339 KB

In order to solve with high accuracy the incompressible Navier-Stokes equations in geometries of high aspect ratio, one has developed a spectral multidomain algorithm, well adapted to the parallel computing. In cases of 2D problems, a Chebyshev collocation method and an extended influence matrix-tec

Stabilized spectral element approximatio
✍ P. Gervasio; F. Saleri πŸ“‚ Article πŸ“… 1998 πŸ› John Wiley and Sons 🌐 English βš– 489 KB πŸ‘ 2 views

The conforming spectral element methods are applied to solve the linearized Navier-Stokes equations by the help of stabilization techniques like those applied for finite elements. The stability and convergence analysis is carried out and essential numerical results are presented demonstrating the hi

An Overlapping Schwarz Method for Spectr
✍ Paul F Fischer πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 623 KB

D Ο­ 3.1. The drag history, shown in (c), agrees well with the results of [24] which were based upon an adaptive Efficient solution of the Navier-Stokes equations in complex domains is dependent upon the availability of fast solvers for sparse vortex method using up to 10 6 elements. The present calc