To each once-punctured-torus bundle, TφTφ, over the circle with pseudo-Anosov monodromy φ , there are associated two tessellations of the complex plane: one, Δ(φ)Δ(φ), is (the projection from ∞ of) the triangulation of a horosphere at ∞ induced by the canonical decomposition into ideal tetrahedra, and the other, CW(φ)CW(φ), is a fractal tessellation given by the Cannon–Thurston map of the fiber group switching back and forth between gray and white each time it passes through ∞. In this paper, we fully describe the relation between Δ(φ)Δ(φ) and CW(φ)CW(φ).
In this paper, a compact high order (up to 12th order) numerical method to solve the compressible Navier–Stokes equations will be presented. A staggered arrangement of the variables has been used. It is shown that the method is not only very accurate but numerically also very stable even in Cheap Kids Ugg Boots Uk
the case that not all the energy containing scales in the flow are resolved. This in contrast to standard (collocated) compact finite difference methods. Some results for a turbulent non-reacting and a reacting jet with a Reynolds number of 10,000 and a Mach number of 0.5 are reported.
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