Abstract
An algorithm that can detect and classify singularities of gas-dynamic fields obtained by numerical simulation is constructed. The algorithm employs wavelet expansion of the original fields followed by analyzing the obtained coefficients. The ideas of this approach were originally proposed in [1–3]. The algorithm that can detect and classify discontinuities and is linear in terms of computational complexity is proposed and tested. It expands the gas-dynamic components with respect to the basis of complexvalued symmetric orthogonal wavelets and uses classical real-valued Daubechies wavelets to postprocess them. The algorithm was applied to analyze two-dimensional gas flow structure when the flow is controlled by local heat release.
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