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Dynamics of inviscid truncated model of two-dimensional turbulent shear flow. (English) Zbl 0673.76061

Summary: The method of classical statistical mechanics is applied to an inviscid truncated model system of two-dimensional turbulent shear flow. The idea of canonical equilibrium distribution is extended to treat a time-dependent Liouville equation governing the evolution of probability distribution function in the phase space. Results of numerical simulations supporting the theoretical conjectures based on the canonical distribution are shown.

MSC:

76F10 Shear flows and turbulence
70G10 Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics
82D15 Statistical mechanics of liquids
70Sxx Classical field theories
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[1] DOI: 10.1063/1.1694310 · Zbl 0261.76038 · doi:10.1063/1.1694310
[2] DOI: 10.1017/S0022112073001837 · Zbl 0272.76030 · doi:10.1017/S0022112073001837
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