Stability Analysis of Shock Wave/Boundary Layer Interactions - Jean ...

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Global Linear Stability TheoryTheoretical basics (3)SWBLI - Global Instability X. MERLE SINUMEF - ENSAM Paris 2008-07-15 6/19After some algebraic calculations, the linear global stability equationsare :∂[M 21∂x 2 + M ∂ 22∂y 2 + M ∂ 2]3∂x∂y + M ∂4∂x + M ∂5∂y + M 6 ̂q = 0The discretized stability problem is written as :where Ẑ = {ˆq ij }.[M(Re,β) − ωN(Re,β)] Ẑ = 0,Eigenproblem is solved by an shift and inverse implicit ARNOLDImethod
Incompressible case: Separated Boundary LayerBase FlowSWBLI - Global Instability X. MERLE SINUMEF - ENSAM Paris 2008-07-15 7/19This case is similar to a SWBLI case from a stability point of view: itprovides the same difficulties.Base Flow: obtained by integrating the steady non-dimensioned 2Dincompressible Navier-Stokes equations. A suction profile is imposedon the upper boundary to precisely controle the separated zone.
Page 1 and 2: SWBLI - Global Instability X. MERLE
Page 3 and 4: Why the shock wave / boundary layer
Page 5: Global Linear Stability TheoryTheor
Page 9 and 10: Compressible Case: SWLBLIIntroducti
Page 11 and 12: Compressible Case: SWBLINumerical R
Page 13 and 14: Compressible Case: SWBLIDNS Compari
Page 15 and 16: Compressible Case: SWBLIResults: co
Page 17 and 18: Conclusion and ProspectsSWBLI - Glo
Page 19: Compressible Case: SWBLIDNS Compari

Stability Analysis of Shock Wave/Boundary Layer Interactions - Jean ...

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