一 种 基 于 幅 值 和 波 数 的 耗 散 控 制 方 法

The shock capture scheme can adaptively control the dissipation according to the smoothness of the local flow field to suppress the small-scale non-physical fluctuations and resolve large-scale flow structures. In order to bet⁃ ter identify the small-scale non-physical fluctuations produced in the shock capture process，and then more accurately control dissipation，this paper proposes a dissipation control method based on amplitude and wavenumber of the local flow field. For problems with strong unsteadiness，such as shock-dominated or isotropic turbulence problems，accord⁃ ing to the one-dimensional unsteady Euler equation，the relationship between different physical quantities at small scales is derived，and the threshold of the small-scale fluctuation amplitude are determined by numerical experiments or Kolmogorov scale theory. Finally，based on Fourier analysis and the threshold of the small-scale fluctuation ampli⁃ tude，the relationship between the magnitude of the dissipation，and the amplitude and wavenumber of the local flow field is established. In order to obtain the shock-capturing capability，the scheme is hybridized with the TENO（Tar⁃ geted Essentially Non-Oscillatory） scheme to form a hybrid scheme. A series of benchmark examples involving shocks or turbulence show that this scheme produces small-scale nonphysical fluctuations with lower wavenumbers，smaller amplitudes，and better resolution of large-scale flow structures during computations.