Analysis of the Accuracy of Shock - Capturingin the Steady Quasi - 1 D Euler
نویسنده
چکیده
Insight into the accuracy of steady shock-capturing CFD methods is obtained through analysis of a simple problem involving steady transonic ow in a quasi-1D diverging duct. It is proved that the discrete solution error on either side of the shock is O(h n) where n is the order of accuracy of the conservative nite volume discretisation. Furthermore, it is shown that provided that n 2 then the error in approximating R p dx is O(h 2). This result is in contrast to the general belief that shocks in 2D and 3D Euler calculations lead to rst order errors, which motivates much of the research into grid adaptation methods.
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