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Unsteady Supersonic flow over parabolic 20% bump

D 1 September 2011    


agrandir

Case description

  • 20% bump in a channel
  • inviscid flow
  • unsteady upstream Mach number (sinusoidal oscillation from 3 to 2.4 to 3.)
    MACH=3.+.6*(cos((t-.1)*6.28)-1.)*step((t-.1)*(1.1-t))

Numerical parameters

  • 1600x320 quad mesh
  • morphing functions are
     MORPH_X = 5*X
     MORPH_Y = Y+step(1-(sqr(x-.4)/0.04))*(1-sqr(x-.4)/0.04)*.2*(1-Y)
  • 2nd order explicit Runge-Kutta, CFL=1
  • HLLC scheme, MUSCL extrapolation, 3rd order Kim limiter

Results

Ressources

An example of parameter file (main.rpm):
BLOCK:PROJECT      
 NZONE     = 1      
 COORD     = 2D      
 TIME      = UNSTEADY
 !RESIDUALS = 1.e-8
 DURATION  = 2.
 NCYCLE    = 100
ENDBLOCK              

BLOCK:OUTPUT      
 FORMAT = VTK-BIN
 FILE   = "C2"
 PERIOD = 1
ENDBLOCK

BLOCK:ZONE      
 NAME   = ""
 SOLVER = EULER  
ENDBLOCK

BLOCK:MESH
 FORMAT = INTERNAL
 FILE   = "quad200x40.tym"
 MORPH_X = 5*X
 MORPH_Y = Y+step(1-(sqr(x-.4)/0.04))*(1-sqr(x-.4)/0.04)*.2*(1-Y)
ENDBLOCK

BLOCK:MODEL
 DYNAMICS = EULER
 GAS      = AIR
ENDBLOCK

BLOCK:TIME_PARAM
 METHOD    = RK2
 CFL       = 1.
 RESIDUALS = .1
ENDBLOCK

BLOCK:SPAT_PARAM
 SCHEME   = HLLC
 HIGHRES  = MUSCL
 LIMITER  = ALBADA
ENDBLOCK

BLOCK:INIT
 P        = 1.0E5
 T        = 300.
 MACH     = 3.
 DIRECTION = (1., 0., 0.)
ENDBLOCK

BLOCK:BOCO
 FAMILY = IMIN
 TYPE   = SUPERSONIC_INLET
 PI     = 1.E5
 TI     = 300.
 MACH   = 3.+.6*(cos((t-.1)*6.28)-1.)*step((t-.1)*(1.1-t))
 DIRECTION = ( 1., 0., 0.)
ENDBLOCK

BLOCK:BOCO
 FAMILY = IMAX
 TYPE   = SUPERSONIC_OUTLET
ENDBLOCK

BLOCK:BOCO
 FAMILY = JMIN
 TYPE   = SYMMETRY
ENDBLOCK

BLOCK:BOCO
 FAMILY = JMAX
 TYPE   = SYMMETRY
ENDBLOCK

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