Spatial numerical simulations of linear and weakly nonlinear wave instabilities in supersonic boundary layers

Numerical Investigation of Laminar-Turbulent Transition in a Cone Boundary Layer at Mach 6

“…For example, Thumm (1991) and Fasel et al (1993) found the so-called "oblique breakdown" for a boundary layer at Mach 1.6. This breakdown mechanism is initiated by the nonlinear interaction of two oblique instability waves with equal but opposite wave angles (see, e.g., Adams & Kleiser, 1993;Sandham et al, 1995;Eissler & Bestek, 1996;Fezer & Kloker, 1999;Husmeier et al, 2005;Mayer et al, 2007Mayer et al, , 2008Mayer et al, , 2009). Kosinov and co-workers (Kosinov et al, 1994b,a;Ermolaev et al, 1996;Kosinov et al, 1997) investigated the nonlinear transition regime of a supersonic boundary layer and reported a different breakdown mechanism, which they called "asymmetric subharmonic resonance."…”

Bifurcations in shock-wave/laminar-boundary-layer interaction: global instability approach

“…For the first phase of the transition process, quantitative predictions can be made with compressible linear stability theory, which was formulated for example by Mack (1969) and Malik (1990). Kosinov et al (1990) and Eißler & Bestek (1996) investigated transition to turbulence of flat-plate boundary layers for a large range of Mach numbers, For hypersonic Mach numbers, few studies were carried out in particular with SWBLI. The reader will be able to refer to the references: Pagella et al (2002), Bedarev et al (2002) and Balakumar et al (2005).…”

Direct Numerical Simulation and Experimental Validation of Hypersonic Boundary-Layer Receptivity and Instability

“…In other words, the synchronization point and the Branch II neutral point move upstream when F increases. Table 2 lists dimensional frequency, dimensionless circular frequency, dimensionless 24 frequency, locations of synchronization point and Branch II neutral point for the 15 sets of frequencies considered in the current study …”

“…where o is the interface location parameter which satisfies 0O < t<1 (24) As discussed in the preceding section, only two jump conditions involving u and ux are used in the finite difference approximation of the derivatives. A general jump conditions across the interface can be written as:…”

“…Another model of blowing-suction disturbances is to enforce the mass flux oscillations on the wall, which has been used by Eibler and Bestek [24], and Egorov et al [25]. For this model, wall blowing-suction is expressed as P aV.…”