๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Contour Dynamics for the Euler Equations in Two Dimensions

โœ Scribed by Norman J. Zabusky; M.H. Hughes; K.V. Roberts


Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
373 KB
Volume
135
Category
Article
ISSN
0021-9991

No coin nor oath required. For personal study only.

โœฆ Synopsis


tour dynamics (CD) for inviscid incompressible fluids in two dimensions.

We present a contour dynamics algorithm for the Euler equations of fluid dynamics in two dimensions. This is applied to regions of

The CD method does not use an underlying lattice and piecewise-constant vorticity within finite-area-vortex regions is a generalization of the ''water-bag'' model used to study (FAVRs). Essentially, this reduces the dimensionality by one and plasma dynamics [5,6]. In essence, it amounts to a dynamic we are treating the interaction of closed polygonal contours whose interaction among closed contours enclosing FAVRs. That nodes are advected by the total fluid motion computed self-consisis, we have reduced the dimensionality by one. To obtain tently. A leapfrog centered scheme is used for temporal advancement. Computer simulation results are given for two and four like-this great simplification, we assume that each FAVR has signed interacting FAVRs. In all cases wavelike surface deformations a constant vorticity density of arbitrary magnitude.

are observed. If the distance between FAVRs is comparable to their

In this paper we present computer simulation results for extent (''diameter''), these surface deformations are large. They play one, two, and four interacting like-signed FAVRs. The an essential role in the observed coalescence of FAVRs. แฎŠ 1979 latter two simulations show large-amplitude wavelike de-

Academic Press

formations resulting from self and mutual interactions. We believe these deformations play an essential role in the


๐Ÿ“œ SIMILAR VOLUMES


Classical Solutions for a Generalized Eu
โœ Marcel Oliver ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 226 KB

It is well known that the Euler equations in two spatial dimensions have global classical solutions. We provide a new proof which is analytic rather than geometric. It is set in an abstract framework that applies to the so-called lake and the great lake equations describing weakly non-hydrostatic ef

Sparse Diagonal Forms for Translation Op
โœ V. Rokhlin ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 373 KB

In the design of fast multipole methods (FMM) for the numerical solution of scattering problems, a crucial step is the diagonalization of translation operators for the Helmholtz equation. These operators have analytically simple, physically transparent, and numerically stable diagonal forms. It has

An Implicit Scheme for Solving the Conve
โœ Tony W.H. Sheu; S.K. Wang; R.K. Lin ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 490 KB

In this paper we consider a passive scalar transported in two-dimensional flow. The governing equation is that of the convection-diffusion-reaction equation. For purposes of computational efficiency, we apply an alternating-direction implicit scheme akin to that proposed by Polezhaev. Use of this im