Multi-scale analysis of gas-dynamic fields singularities
Singularities found at different levels of the wavelet decomposition of gas-dynamic fields calculated by shock-capturing methods on various grids are compared. Numerical experiments demonstrate that several steps of the multi-scale decomposition of the field enable to get essential information on the shock waves. Moreover, detector suggested in the paper singles out artifacts due to the local inaccuracies of the discretisation.
Mathematical modelling in actual problems of science and technics