Nicolas Cerulus, Helio Quintanilha Jr, Vassilis Theofilis

DOI Number XXX-YYY-ZZZ

Conference Number HiSST-2022-301

Linear modal global instability analyses of planar and axisymmetric, laminar compression corner flows
are discussed at supersonic conditions. Steady basic flows have been computed with the OpenFOAM
package and results were compared with existing literature and independently performed high-order
direct numerical simulations. Global stability analysis reveals the leading two- and three-dimensional
eigenmodes in both planar and axisymmetric compression corners and permits comparisons of the respective amplitude functions. The existence of increasingly complex viscous structures inside the laminar separation bubble, confined underneath the shock layer, is demonstrated, and the communication
between these structures and the shock layer, recently also seen in kinetic theory simulations [40], is
established. This qualitative behaviour is found to be consistently present in both planar and axisymmetric compression corners, the main quantitative difference between the two configurations being that,
at the same nominal free-stream conditions, pressure relief makes the axisymmetric flow more stable
than its planar counterpart.

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