329 citations · 493 across the 15 of their papers we have counts for
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Transitions in large eddy simulation of box turbulence
Lennaert van Veen, Genta Kawahara, Tatsuya Yasuda
One promising decomposition of turbulent dynamics is that into building blocks such as equilibrium and periodic solutions and orbits connecting these. While the numerical approxima…
Sub critical transition to turbulence in three-dimensional Kolmogorov flow
Lennaert van Veen, Susumu Goto
We study Kolmogorov flow on a three dimensional, periodic domain with aspect ratios fixed to unity. Using an energy method, we give a concise proof of the linear stability of the l…
The Significance of Simple Invariant Solutions in Turbulent Flows
Genta Kawahara, Markus Uhlmann, Lennaert van Veen
Recent remarkable progress in computing power and numerical analysis is enabling us to fill a gap in the dynamical systems approach to turbulence. One of the significant advances i…
A homoclinic tangle on the edge of shear turbulence
Lennaert van Veen, Genta Kawahara
Experiments and simulations lend mounting evidence for the edge state hypothesis on subcritical transition to turbulence, which asserts that simple states of fluid motion mediate b…