Multiscale Analysis of Gas Dynamic Fields / Plenkin A.V. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2011. № 2. P. 56-59 [Moscow Univ. Mech. Bulletin. Vol. 72, N 2, 2017. P. 0].

On the basis of numerical data processing, it is shown that a joint analysis of singularities detected in an initial gas dynamic field and at the first level of its wavelet decomposition allows one to remove the most part of numerical artifacts caused by numerical errors in computations. The application of asymmetric wavelets for this decomposition leads to a displacement of discontinuities. It is also shown that the values of the field can be identified with the coefficients of its wavelet decomposition.

Key words: wavelets, singularity detection, gas dynamics.

№ 2/2011