Shape Identification for Incompressible Navier-Stokes Equation Using Bubble Function Element Stabilization Method

2004 ◽  
Vol 2004.17 (0) ◽  
pp. 745-746
Author(s):  
Junichi MATSUMOTO
2013 ◽  
Vol 729 ◽  
pp. 364-376 ◽  
Author(s):  
John C. Bowman

AbstractIn addition to conserving energy and enstrophy, the nonlinear terms of the two-dimensional incompressible Navier–Stokes equation are well known to conserve the global integral of any continuously differentiable function of the scalar vorticity field. However, the phenomenological role of these additional inviscid invariants, including the issue as to whether they cascade to large or small scales, is an open question. In this work, well-resolved implicitly dealiased pseudospectral simulations suggest that the fourth power of the vorticity cascades to small scales.


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