๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Expansion Functions for Two-Dimensional Incompressible Fluid Flow in Arbitrary Domains

โœ Scribed by J.P. Goedbloed

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
105 KB
Volume
160
Category
Article
ISSN
0021-9991

No coin nor oath required. For personal study only.

โœฆ Synopsis

Expansion functions are presented for two-dimensional incompressible fluid flow in arbitrary domains that optimally conserve the 2D structure of vortex dynamics. This is obtained by conformal mapping of the domain onto a circle and by constructing orthogonal radial polynomials and angular harmonics on the new domain such that the kinetic energy is diagonal and the separate components satisfy all of the required physical boundary conditions.

๐Ÿ“œ SIMILAR VOLUMES

A three-dimensional fictitious domain me
A three-dimensional fictitious domain method for incompressible fluid flow problems
โœ F. Bertrand; P. A. Tanguy; F. Thibault ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 812 KB

A new Galerkin ยฎnite element method for the solution of the NavierยฑStokes equations in enclosures containing internal parts which may be moving is presented. Dubbed the virtual ยฎnite element method, it is based upon optimization techniques and belongs to the class of ยฎctitious domain methods. Only o

A Spectral Model for Two-Dimensional Inc
A Spectral Model for Two-Dimensional Incompressible Fluid Flow in a Circular Basin
โœ W.T.M. Verkley ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 404 KB

describes an ocean in hydrostatic and geostrophic balance with water of constant density, bounded by rigid upper A spectral numerical scheme is developed for simulations of twodimensional incompressible fluid flow in a circular basin. The vorticand lower boundaries. It can be shown [9] that this sys

Computational Design for Long-Term Numer
Computational Design for Long-Term Numerical Integration of the Equations of Fluid Motion: Two-Dimensional Incompressible Flow. Part I
โœ Akio Arakawa ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 372 KB

The integral constraints on quadratic quantities of physical importance, such as conservation of mean kinetic energy and mean square vorticity, will not be maintained in finite difference analogues of or the equation of motion for two-dimensional incompressible flow, unless the finite difference Jac

Introduction to โ€œComputational Design fo
Introduction to โ€œComputational Design for Long-Term Numerical Integration of the Equations of Fluid Motion: Two-Dimensional Incompressible Flow. Part Iโ€
โœ Douglas K. Lilly ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 117 KB

In the late 1950s and early 1960s a small group of mostly work and show its practicality before it was formally exhibited under his name. To our relief that exhibition finally young meteorologists in a few institutions started what later became known as large eddy simulation. Their work occurred in