Fourier property of nonlinear weights and limiters in wave-space are analyzed. Firstly, a statistical method is designed to analyze Fourier property of nonlinear weights. Secondly, averaged values and deviations of nonlinear weights are shown, and values with change of wave-number are analyzed. It is helpful to comprehension of nonlinear schemes. The method is a guidance for designing shock-capture schemes.

A Godunov-type ALE (Arbitrary Lagrangian-Eulerian) method based on finite volume technique is developed to simulate compressible multimaterial flows with large deformation.The method adapts well to Lagrangian,ALE or Eulerian formulations due to its arbitrary moving speed of meshes.Numerical features are studied in the formulations.Numerical traits of several Godunov-type schemes are studied.Resolutions of scheme for shock and contact are compared.