湍流唯象学

湍流唯象学

K41 theory as back-bone of turbulence

每一个 universal 的 scaling law 都蕴含着湍流惯性区的 universal scaling law.

Direct cascade and turbulence phenomenology

Some empirical rules

Gioia的一系列工作

  • Manning formula
  • Strickler scaling law
  • Blasius scaling law

Inverse energy cascade implication

Control turbulence from energetic range

能谱大尺度含能区调控了湍流的特征:拐点,峰值等;通过调控大尺度区域的能谱特征进而调控湍流特征。

  • Zampiron (2020, JFM) riblet roughness open channel flow