Improved boundary conditions for viscous, reacting, compressible flows

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Turbulent flame–wall interaction: a direct numerical simulation study (2010, methodology): “Navier–Stokes characteristic boundary conditions (NSCBC) are implemented based on Poinsot & Lele (1992) and Sutherland & Kennedy (2003).”
Characteristic boundary conditions for simulations of compressible reacting flows with multi-dimensional, viscous and reaction effects (2007, methodology): “Regarding the proper number and forms of the boundary conditions for Euler and Navier–Stoke equations, readers are referred to several previous papers [8, 9, 12, 16].”
Three-dimensional direct numerical simulation of a turbulent lifted hydrogen jet flame in heated coflow: flame stabilization and structure (2009, methodology): “Improved non-reflecting inflow/outflow boundary conditions (Sutherland & Kennedy 2003; Yoo et al. 2005; Yoo & Im 2007) were used in the streamwise and transverse directions, and periodic boundary conditions were applied in the spanwise direction.”
Characteristic boundary conditions for direct simulations of turbulent counterflow flames (2005, methodology): “Therefore, unlike other wave amplitude variables, sometimes it is sufficient to specify L (x)5+i = 0 (A15) as in Sutherland and Kennedy [19].”