๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

2D Vortex Methods and Singular Quadrature Rules

โœ Scribed by John Strain

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
509 KB
Volume
124
Category
Article
ISSN
0021-9991

No coin nor oath required. For personal study only.

โœฆ Synopsis

tions. General background material on vortex methods is presented in Section 2.

A new high-order vortex method for the 2D Euler equations is presented. The method eliminates smoothing by constructing a

The standard velocity evaluation approximates the singular quadrature rule for the Biot-Savart law at each time step, Biot-Savart law by a fixed quadrature rule, with weights using quadtrees and orthogonal polynomials. Theory and numerical conserved by incompressibility and independent of the sinexperiments show that the method is accurate and efficient, yielding gularity in the Biot-Savart kernel. Smoothing is required excellent long-term accuracy in almost optimal CPU time. แฎŠ 1996 to make the quadrature rule accurate.

๐Ÿ“œ SIMILAR VOLUMES

Fast Adaptive 2D Vortex Methods
Fast Adaptive 2D Vortex Methods
โœ John Strain ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 686 KB

regridding techniques [17]. Even before the flow becomes disorganized, however, obtaining high-order accuracy with We present a new approach to vortex methods for the 2D Euler equations. We obtain long-time high-order accuracy at almost opti-a single quadrature rule requires smoothing of the singul

Error estimation of quadrature rules for
Error estimation of quadrature rules for evaluating singular integrals in boundary element problems
โœ Peter R. Johnston; David Elliott ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 111 KB ๐Ÿ‘ 3 views

The e cient numerical evaluation of integrals arising in the boundary element method is of considerable practical importance. The superiority of the use of sigmoidal and semi-sigmoidal transformations together with Gauss-Legendre quadrature in this context has already been well-demonstrated numerica