Numerical simulations of transonic flows with non-unique solutions

A.M. Chuen; M. Hafez

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Numerical simulations of transonic flows with non-unique solutions

机译：非唯一解决方案的跨音流量的数值模拟

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摘要

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.

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来源
《International Journal of Aerodynamics》 |2021年第2期|共24页
作者
A.M. Chuen; M. Hafez;
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作者单位

Department of Mechanical and Aerospace Engineering University of California;

Department of Mechanical and Aerospace Engineering University of California;

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原文格式 PDF
正文语种 eng
中图分类空气动力学;
关键词
transonic flows; Euler equations; isentropic Euler equations; numerical schemes; non-unique solutions; overflow code;

机译：横向流动;欧拉方程;等式欧拉方程;数值方案;非唯一解决方案;溢出代码;

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Numerical simulations of transonic flows with non-unique solutions

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