Modern applications of computational fluid dynamics involve complex interactions across scales such as shock interactions with turbulent structures and multiphase interfaces. Low-dissipation shock-capturing methods have been developed to account for the very small physical viscosity at which such phenomena occur. Godunov schemes combined with approximate Riemann solvers and high-order reconstruction schemes, such as WENO, are among the most successful methods in simulating these flows. The so-called carbuncle phenomenon is a popular example of failure high-resolution schemes. It is generally believed that the reason for this specific failure is an insufficient amount of numerical dissipation to damp inherent instabilities connected to shear waves. Therefore, most of the cures so far involve the introduction of additional dissipation. Instead of increasing the numerical dissipation, here we present an alternative approach that relates the problem to the low Mach number in transversal direction of the shock front. We will show a range of validation computations and applications to demonstrate the benefits of the low-dissipation cure.

报告人简介：

    Nikolaus A. Adams is a full professor at Technische Universität München, as Chair of Aerodynamics and Fluid Mechanics, and dean of Faculty of Mechanical Engineering.

    He is a recipient of the Gordon Bell Prize for Peak Performance (shared - team ETH, LLNL, IBM, TUM) . He is the Executive Editor of the Journal of Computational Physics, the Fellow of the American Physical Society (APS). He is the Speaker of the DFG Collaborative Research Centre (CRC) Transregional 40 “Technological foundations for the design of thermally and mechanically highly loaded components of future space transport systems”.