Shock Wave Detection Based on the Theory of Characteristics

Detecting the locations of shock waves in the computational domain of a shock-capturing solution is of a great importance from the viewpoint of the shock-fitting methodology. This paper introduces an algorithm for detecting shock waves from shock-capturing solutions based on the theory of characteristics. A shock wave is easily identified as a collision of characteristics of the same family, and the authors show a method of extracting the shock wave location by introducing local linearization of the vector field of the characteristics. The authors also show the successful extensions of this method to unsteady and three-dimensional flowfields. The following is a brief summary of these topics.

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