A Forced Burgers Turbulence in the Inviscid Limit

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  • Kida Shigeo
    Research Institute for Mathematical Sciences, Kyoto University
  • Sugihara Masako
    Department of Physics, Faculty of Science, Kyoto University

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  • Forced Burgers Turbulence in the Invisc

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The equilibrium properties in the inviscid limit of the Burgers turbulence driven by a random external force are studied numerically. The numerical calculation is performed by use of the method or characteristics supplemented by the dynamics of shock-fronts, which is more accurate and effective than the finite difference methods. Energy is supplied to the largest-scale motion of the velocity field by the external force. The existence of the equilibrium state of the velocity field is confirmed and the equilibrium values of various statistical quantities, such as the number of shock-fronts, the energy of the velocity field, the velocity correlation function and the energy spectrum function, are obtained. The k−2 energy spectral form is observed throughout beyond the characteristic wavenumber of the external force.

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