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101

Aerodynamics and Fluid Mechanics

Numerical Methods for Computational Fluid Dynamics

Physical Consistency of High-resolution CFD

Motivation and Objectives

CFD tools in physical or engineering applications can

never reach numerical resolution levels where the

truncation error of the discretization schemes enters its

asymptotic limit. It thus is of high practical relevance to

design schemes that have good scale resolution proper-

ties whenever numerical resolution is sufficient for relevant

flow scales, and whose truncation error functions as a

physically consistent subgrid-scale model when not. In the

past, this research concept has led to the development of

the first physically consistent and practically successful

implicit LES model. Currently, the notion of employing

model uncertainty and truncation errors as physical-model

surrogates is being pursued on several levels.

Spray angle and erosion analysis in generic injector components.

Key Results

■■

Budich, B.; Schmidt, S.J.; Adams, N.A.: Numerical

Simulation and Analysis of Condensation Shocks in

Cavitating Flow. To appear in Journal of Fluid Mechan-

ics (accepted 2017)

■■

Beban, B.; Schmidt, S.J.; Adams, N.A.: Numerical

study of submerged cavitating throttle flows. Atomiza-

tion and Sprays (27 (8)), 2017, pp. 723-739

■■

Egerer, C.P.; Schmidt, S.J.; Hickel, S.; Adams, N.A.:

Efficient implicit LES method for the simulation of

turbulent cavitating flows. Journal of Computational

Physics, Volume 316, 2016, pp. 453-469

■■

Örley, F.; Hickel, S.; Schmidt, S.J.; Adams, N.A.:

Large-Eddy Simulation of turbulent, cavitating fuel flow

inside a 9-hole Diesel injector including needle move-

ment. International Journal of Engine Research, 2016,

pp. 1-17

Instantaneous contours of temperature (top) of Ma=3 shock impinging on a

turbulent boundary layer, and corresponding mean flow (bottom)