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Statistical study of approximations to two dimensional inviscid turbulence

Technical Report ·
DOI:https://doi.org/10.2172/5304401· OSTI ID:5304401
A numerical technique is developed for studying the ergodic and mixing hypotheses for the dynamical systems arising from the truncated Fourier transformed two-dimensional inviscid Navier-Stokes equations. This method has the advantage of exactly conserving energy and entropy (i.e., total vorticity) in the inviscid case except for numerical error in solving the ordinary differential equations. The development of the mathematical model as an approximation to a real physical (turbulent) flow and the numerical results obtained are discussed.
Research Organization:
California Univ., Berkeley (USA). Lawrence Berkeley Lab.
DOE Contract Number:
W-7405-ENG-48
OSTI ID:
5304401
Report Number(s):
LBL-6708
Country of Publication:
United States
Language:
English

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