Accurate simulation of the fuel-air mixing environment is crucial for high-fidelity scramjet calculations. We compute the velocity fields of jet into supersonic freestream flow and cavity flow typical of scramjet flame-holding applications at different scale resolutions using the partially-averaged Navier–Stokes (PANS) method. We present a sequence of variable resolution computations to demonstrate the potential of PANS method for high-speed mixing environment calculations.

References

References
1.
Walling
,
S.
, and
Girimaji
,
S. S.
,
2011
, “
Commutation Error Mitigation in Variable-Resolution PANS Closure: Proof of Concept in Decaying Isotropic Turbulence
,” AIAA 2011-3105.
2.
Girimaji
,
S. S.
, and
Wallin
,
S.
,
2013
, “
Closure Modeling in Bridging Regions of Variable-Resolution (VR) Turbulence Computations
,”
J. Turbulence
,
14
(
1
), pp.
72
98
.10.1080%2F14685248.2012.7548933
3.
Girimaji
,
S. S.
,
2006
, “
Partially-Averaged Navier-Stokes Model for Turbulence: A Reynolds-Averaged Navier–Stokes to Direct Numerical Simulation Bridging Method
,”
ASME J. Appl. Mech.
,
73
(
3
), pp.
413
421
.10.1115/1.2151207
4.
Germano
,
M.
,
1992
, “
Turbulence: The Filtering Approach
,”
J. Fluid Mech.
,
238
, pp.
325
336
.10.1017/S0022112092001733
5.
Deardorff
,
J. W.
,
1970
, “
A Numerical Study of Three-Dimensional Channel Flow at Large Reynolds Numbers
,”
J. Fluid Mech.
,
41
, pp.
453
480
.10.1017/S0022112070000691
6.
Girimaji
,
S. S.
,
2000
, “
Pressure-Strain Correlation Modelling of Complex Turbulent Flows
,”
J. Fluid Mech.
,
422
, pp.
91
123
.10.1017/S0022112000001336
7.
Girimaji
,
S. S.
,
Jeong
,
E.
, and
Srinivasan
,
R.
,
2006
, “
Partially Averaged Navier–Stokes Method for Turbulence: Fixed Point Analysis and Comparison With Unsteady Partially Averaged Navier-Stokes
,”
ASME J. Appl. Mech.
,
73
(
3
), pp.
422
429
.10.1115/1.2173677
8.
Jeong
,
E.
, and
Girimaji
,
S. S.
,
2010
, “
Partially Averaged Navier-Stokes (PANS) Method for Turbulence Simulations-Flow Past a Square Cylinder
,”
ASME J. Fluids Eng.
,
132
(
12
), p. 121203.10.1115/1.4003153
9.
Murthi
,
A.
,
2004
, “
Effect of Turbulent Transport Models and Grid Spacing on PANS Calculations of a Lid-Driven Cavity
,” Master's thesis, Texas A&M University.
10.
Lakshmipathy
,
S.
, and
Girimaji
,
S. S.
,
2007
, “
Extension of Boussinesq Turbulence Constitutive Relation for Bridging Methods
,”
J. Turbulence
,
8
(
31
), pp.
1
21
.10.1080/14685240701420478
11.
Lakshmipathy
,
S.
, and
Girimaji
,
S. S.
,
2010
, “
Partially Averaged Navier–Stokes (PANS) Method for Turbulence Simulations: Flow Past a Circular Cylinder
,”
ASME J. Fluids Eng.
,
132
(
12
), p. 121202.10.1115/1.4003154
12.
Zukowski
,
E.
, and
Spaid
,
F.
,
1964
, “
Secondary Injection of Gases Into a Supersonic Flow
,”
AIAA J.
,
2
(
10
), pp.
1697
1705
.10.2514/3.2659
13.
Schetz
,
J.
, and
Billig
,
F.
,
1966
, “
Penetration of Gaseous Jets Injected Into a Supersonic Stream
,”
J. Spacecraft and Rockets
,
35
(
11
), pp.
1658
1665
.10.2514/3.28721
14.
Bowersox
,
R.
,
Fan
,
H.
, and
Lee
,
D.
,
2004
, “
Sonic Injection Into a Mach 5.0 Freestream Through Diamond Orifices
,”
J. Propul. Power
,
20
(
2
), pp.
280
287
.10.2514/1.9254
15.
Strelets
,
M.
,
2001
, “
Detached Eddy Simulation of Massively Separated Flows
,” AIAA 2001–0879.
16.
Suzen
,
Y. B.
, and
Hoffmann
,
K. A.
,
1998
, “
Investigation of Supersonic Jet Exhaust Flow by One- and Two-Equation Turbulence Models
,” AIAA 1998-0322.
17.
Srinivasan
,
R.
, and
Bowersox
,
R.
,
2008
, “
Transverse Injection Through Diamond and Circular Ports Into a Mach 5.0 Freestream
,”
AIAA J.
,
46
(
8
), pp.
1944
1962
.10.2514/1.29253
18.
Kobayashi
,
K.
,
Bowersox
,
R.
,
Srinivasan
,
R.
,
Carter
,
C.
, and
Hsu
,
K.
,
2007
, “
Flowfield Studies of a Diamond-Shaped Fuel Injector in a Supersonic Flow
,”
J. Propul. Power
,
23
(
6
), pp.
1168
1176
.10.2514/1.30000
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