Contour Dynamics for the Euler Equations in Two Dimensions
โ 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
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โฆ 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. แฎ 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
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