Shock Wave Detection based on the Theory of Characteristics for CFD Results

A method to detect the discontinuity of a shock wave from computational fluid dynamics (CFD) data was developed based on the characteristics. A shock wave is mathematically defined as a convergence of characteristics. Such convergences are interpreted as critical lines of the streamlines, which are easily identified by calculating the eigenvectors of the vector field for the propagation velocity of the Riemann invariants. Shock waves can be successfully extracted using our method. Three-dimensional shock waves can also be detected successfully by extending the idea for two-dimensional flows and defining the characteristics which contribute the generation of shock waves.

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