Numerical simulations of transonic flows with non-unique solutions
by A.M. Chuen; M. Hafez
International Journal of Aerodynamics (IJAD), Vol. 7, No. 2, 2021

Abstract: Inviscid, compressible flows are described by a first-order system of hyperbolic partial differential equations in conservation form, and are solved numerically with simple schemes. These schemes show the ability to reproduce well-known solutions and benchmarks for the two-dimensional Euler equations. Finally, the schemes are used to explore the anomaly of non-unique solutions in the transonic regime. Furthermore, numerical solutions for the isentropic Euler equations with γ = 2, which are analogous to the shallow water equations, also exhibit non-uniqueness. In the appendix, results computed with OVERFLOW also exhibit non-unique solutions for the same geometries considered in the text.

Online publication date: Mon, 01-Feb-2021

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