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Some anomalies of numerical simulation of shock waves. I: Inviscid flows. II: Effect of artificial and real viscosity. (English) Zbl 0970.76079
Summary: In part I, we discuss nonunique solutions of potential and Euler equations. Previous work related to airfoil problem is reviewed, and some new results are presented. Simple models based on Burgers equation and quasi-one-dimensional nozzle flow are examined. We also include an example for a three-dimensional wing admitting nonunique solutions of potential and Euler equations.
Part II deals with shock structure and its limit for conservative and nonconservative formulations. In particular, we calculate the entropy jumps across inviscid shocks using different artificial viscosity forms. The effects of real viscosity for two-dimensional airfoil problems are studied, and nonunique solutions of Navier-Stokes equations for transonic flows are presented for simple symmetric configurations.

MSC:
76M99 Basic methods in fluid mechanics
76L05 Shock waves and blast waves in fluid mechanics
76H05 Transonic flows
Software:
OVERFLOW
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