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Validity of linearized unsteady Euler equations with shock capturing. (English) Zbl 0792.76036

By examining the nature of shock movement, this article first shows that the unsteady lift due to the movement of a shock is linear with the magnitude of the shock movement. The argument that is presented holds true regardless of the shock structure, which is determined by the level of viscosity. This proof is the basis for showing that the linear perturbation equations can be used to determine not only the unsteadiness of the flowfield away from the shock but also the effect of the shock movement as well. After proving that the analytical linear viscous equations can be used to represent the flowfield, computational aspects relating to shock capturing are examined.

MSC:

76L05 Shock waves and blast waves in fluid mechanics
76N15 Gas dynamics (general theory)
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