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Wavelets and Two Dimensional Turbulence

  • J. Weiss
Conference paper
Part of the Springer Series in Nonlinear Dynamics book series (SSNONLINEAR)

Abstract

The time evolution of an inviscid, incompressible fluid is governed by Euler’s equations for the velocity field, v̂
$$ {\widehat v_t} + \widehat v \cdot \nabla \widehat v = \nabla p $$
(1)
where
$$\begin{array}{*{20}{c}} {\widehat v = \left( {u,v} \right)\left( {\widehat x,t} \right)} \\ {\nabla \cdot \widehat v = 0} \\ {\widehat x = \left( {x,y} \right) \in D \in {R^2}} \\ {\begin{array}{*{20}{c}} {\widehat v \cdot \widehat m = 0for\widehat x \in \partial D} \\ {\begin{array}{*{20}{c}} {\widehat m \bot \partial D} \\ {\begin{array}{*{20}{c}} {t = 0}&{\widehat v = {{\widehat v}_0}\left( {\widehat x} \right)} \end{array}.} \end{array}} \end{array}} \end{array}$$
.

Keywords

Scaling Function Vortex Method Initial Vorticity Large Scale Vortex Structure Dimensional Turbulence 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1993

Authors and Affiliations

  • J. Weiss
    • 1
  1. 1.Aware, Inc.CambridgeUSA

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