Unsteady Transition From a Mach to a Regular Shockwave Intersection

The purpose of this research work is to perform accurate numerical computations of supersonic flow in a converging nozzle and specifically to study Mach-disks. The latter process has been widely studied over the last years. In the present study numerical simulations are performed for transient supersonic flow, tracing the transition from a Mach reflection to a regular one. This has been done by enforcing the walls of a converging nozzle to come closer together, changing the deflection angle with time. Viscosity was taken into account and the full Navier- Stokes have been solved. The results obtained clearly show the gradual extinction of the Mach disk and the eventual wave intersection to a single point

[1]  Guang Zhang,et al.  Study on the Mach and regular reflections of shock wave , 2019, J. Vis..

[2]  Analysis of Combustion in Recirculating Flow for Rocket Exhausts in Supersonic Streams , 1982 .

[3]  Xiaoming Zheng,et al.  Adaptive unstructured volume remeshing - I: The method , 2005 .

[4]  Yong Yu,et al.  Shock wave configurations and reflection hysteresis outside a planar Laval nozzle , 2015 .

[5]  P. G. Bakker,et al.  A scaling analysis for turbulent shock-wave/boundary-layer interactions , 2013, Journal of Fluid Mechanics.

[6]  R. Pletcher,et al.  Computational Fluid Mechanics and Heat Transfer. By D. A ANDERSON, J. C. TANNEHILL and R. H. PLETCHER. Hemisphere, 1984. 599 pp. $39.95. , 1986, Journal of Fluid Mechanics.

[7]  LowengrubJohn,et al.  Adaptive unstructured volume remeshing - II , 2005 .

[8]  Henry Y. Wong.  One-Equation Turbulence Model of Spalart and Allmaras in Supersonic Separated Flows , 1999 .

[9]  Ken Badcock,et al.  Numerical Study of Shock-Reflection Hysteresis in an Underexpanded Jet , 2000 .

[10]  Similarity in Mach stem evolution and termination in unsteady shock-wave reflection , 2020, Journal of Fluid Mechanics.

[11]  W. E. Carscallen,et al.  Compressible Fluid Flow , 1997 .

[12]  B. Skews,et al.  Dynamic transition from Mach to regular reflection of shock waves in a steady flow , 2014, Journal of Fluid Mechanics.

[13]  N. C. Markatos,et al.  Mathematical Modelling of Single- and Two-Phase Flow Problems in the Process Industries , 1993 .

[14]  David E. Zeitoun,et al.  Influence of numerical and viscous dissipation on shock wave reflections in supersonic steady flows , 2003 .

[15]  Richard H. Pletcher,et al.  Computational Fluid Mechanics and Heat Transfer , 1984 .

[16]  R. Frolov.  An efficient algorithm for the multicomponent compressible Navier–Stokes equations in low- and high-Mach number regimes , 2017, Computers & Fluids.

[17]  George Keith Batchelor,et al.  An Introduction to Fluid Dynamics. , 1969 .

[18]  P. Spalart.  A One-Equation Turbulence Model for Aerodynamic Flows , 1992 .

[19]  B. Launder,et al.  The numerical computation of turbulent flows , 1990 .

[20]  S. Deck,et al.  Development and application of Spalart–Allmaras one equation turbulence model to three-dimensional supersonic complex configurations , 2002 .

[21]  J. J. Gottlieb,et al.  Transition boundary between regular and Mach reflections for a moving shock interacting with a wedge in inviscid and polytropic air , 2016, Shock Waves.

[22]  J. Matheis,et al.  On the transition between regular and irregular shock patterns of shock-wave/boundary-layer interactions , 2015, Journal of Fluid Mechanics.

[23]  J. Anderson,et al.  Hypersonic and High-Temperature Gas Dynamics , 2019 .

[24]  C. J. Chapman,et al.  High Speed Flow , 2000 .

[25]  J. Gottlieb,et al.  Transition boundary between regular and Mach reflections for a moving shock interacting with a wedge in inviscid and polytropic argon , 2019, Shock Waves.

[26]  E. Leclerc,et al.  Experimental investigation of the influence of downstream flow conditions on Mach stem height , 1999 .

[27]  J. Vuillon,et al.  Investigation of the hysteresis phenomena in steady shock reflection using kinetic and continuum methods , 1996 .

[28]  R. Hillier,et al.  Shock-wave/expansion-wave interactions and the transition between regular and Mach reflection , 2007, Journal of Fluid Mechanics.

[29]  Gabi Ben-Dor,et al.  Reconsideration of oblique shock wave reflections in steady flows. Part 2. Numerical investigation , 1995, Journal of Fluid Mechanics.

[30]  Gabi Ben-Dor,et al.  A parametric study of Mach reflection in steady flows , 1997, Journal of Fluid Mechanics.

[31]  Kenneth D. Kihm,et al.  Visualization of high-speed gas jets and their airblast sprays of cross-injected liquid , 1999 .

[32]  N. C. Markatos,et al.  On numerical modelling of embedded subsonic flow , 1986 .

[33]  G. Batchelor,et al.  An Introduction to Fluid Dynamics , 1968 .

[34]  D. Spalding,et al.  A calculation procedure for heat, mass and momentum transfer in three-dimensional parabolic flows , 1972 .