Entropy Splitting for High Order Numerical Simulation of Compressible Turbulence

By Neil D. Sandham, Q. Li, H. C. Yee. 2002

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Direct numerical simulations of forced and unforced separation bubbles on an airfoil at incidence (2008, methodology): “The code is based upon an existing code that has been previously validated for compressible turbulent plane channel flow (Sandham et al. 2002), and more recently has been demonstrated to accurately represent the development of hydrodynamic instabilities (Sandberg et al. 2007).”
Numerical Methods for High-Speed Flows (2011, background): “The choice g(s) = β exp (s/(β (γ − 1))) (Harten, 1983b), leads to simple transformations between conservative and entropy variables (Sandham et al., 2002), and u, fi happen to be homogeneous functions of degree β with respect to v, u(θv) = θβ u(v), fi(θv) = θ β fi(v).”
Large-eddy simulation of low-frequency unsteadiness in a turbulent shock-induced separation bubble (2009, methodology): “use of the entropy splitting of the Euler terms and the laplac ian formulation of the viscous terms to enhance the stabilit y of the nondissipative central scheme (see Sandham et al. [ 42 ]).”
Stability and receptivity characteristics of a laminar separation bubble on an aerofoil (2010, methodology): “The code is based upon an existing solver that has been previously validated for compressible turbulent plane channel flow (Sandham et al. 2003) and more recently has been demonstrated to accurately represent the development of hydrodynamic instabilities (Sandberg, Sandham & Joseph 2007).”