Assessing the numerical dissipation rate and viscosity in numerical simulations of fluid flows
Schranner, F., Domaradzki, J.A., Hickel, S., Adams, N.A. (2015)
Computers and Fluids 114: 84-97. doi:10.1016/j.compfluid.2015.02.011
We propose a method for quantifying the effective numerical dissipation rate and effective numerical viscosity in Computational Fluid Dynamics (CFD) simulations. Different from previous approaches that were formulated in spectral space, the proposed method is developed in a physical-space representation and allows for determining numerical dissipation rates and viscosities locally, that is, at the individual cell level, or for arbitrary subdomains of the computational domain.
Quantification of initial-data uncertainty on a shock-accelerated gas cylinder
Tritschler, V.K., Avdonin, A., Hickel, S., Hu, X.Y., Adams, N.A. (2014)
Physics of Fluids 26: 026101. doi: 10.1063/1.4865756
We quantify initial-data uncertainties on a shock accelerated heavy-gas cylinder by two-dimensional well-resolved direct numerical simulations. A high-resolution compressible multicomponent flow simulation model is coupled with a polynomial chaos expansion to propagate the initial-data uncertainties to the output quantities of interest.