Numerical Study of the Energy Decay Law of Turbulence
1988 年 57 巻 11 号 p. 3657-3660
詳細
1988 年 57 巻 11 号 p. 3657-3660
The energy decay law of turbulence is investigated by solving the Navier-Stokes equation numerically. High symmetry is imposed on the velocity field. The initial energy spectrum has the form of E(k)∝kn exp [−Ak2], n and A being constants. It is found that the energy decreases algebraically in time as ε(t)∝(t−t0)−p, where p≈1.25 and 1.30 for n=2 and 4, respectively. During these algebraic decays the microscale Reynolds number changes between 20∼10. The Kolmogorov similarity law holds irrespective of the difference of the large-scale motions or the difference of the energy decay laws.
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