Modeling of Turbulent Mixing Layer Dynamics in Ultra-High Pressure Flows

*† ‡ § The dynamics of air/nitrogen mixing layers under high pressure are studied using a computational approach, which embodies real gas equations of state, an advanced flux formulation for accurate unsteady solutions and detached eddy simulations (DES) of the turbulent dynamics. Real-fluid properties are obtained through efficient interpolation of adaptive property tables. Advanced preconditioned flux formulations are employed to reduce the inherent artificial dissipation in second-order finite-volume schemes. The DES method is employed within a ω − k turbulence model. The effectiveness of our computational approach is demonstrated using an exact solution for Taylor vortices and by computing decay of isotropic turbulence in a box. The paper focuses on the dynamics of air-nitrogen mixing layers for various Reynolds numbers and momentum thicknesses under high pressures. Both 2D and 3D DES simulations are obtained and the results are compared with 2D unsteady-RANS simulations to highlight the differences.

[1]  Chris Lacor,et al.  Efficient Large-eddy Simulations of Low Mach Number Flows Using Preconditioning and Multigrid , 2004 .

[2]  M. Strelets.  Detached eddy simulation of massively separated flows , 2001 .

[3]  Luis P. Bernal,et al.  Streamwise vortex structure in plane mixing layers , 1986, Journal of Fluid Mechanics.

[4]  E. Paterson,et al.  Detached-Eddy Simulation of High-Reynolds-Number Beveled-Trailing-Edge Boundary Layers and Wakes , 2005 .

[5]  Detached-Eddy simulation of decaying homogeneous isotropic turbulence , 2005 .

[6]  Luc Mongeau,et al.  Compressible large eddy simulations of wall-bounded turbulent flows using a semi-implicit numerical scheme for low Mach number aeroacoustics , 2006, J. Comput. Phys..

[7]  Florian R. Menter,et al.  A Scale-Adaptive Simulation Model using Two-Equation Models , 2005 .

[8]  Krishnan Mahesh,et al.  A robust, colocated, implicit algorithm for direct numerical simulation of compressible, turbulent flows , 2005 .

[9]  Frank Thiele,et al.  Investigation of Alternative Length Scale Substitutions in Detached-Eddy Simulation , 2005 .

[10]  Awatef Hamed,et al.  DES, Hybrid RANS/LES and PANS Models for Unsteady Separated Turbulent Flow Simulations , 2005 .

[11]  Charles L. Merkle,et al.  A unified computational formulation for multi-component and multi-phase flows , 2005 .

[12]  G. Soave.  Equilibrium constants from a modified Redlich-Kwong equation of state , 1972 .

[13]  Bart A. Singer,et al.  Evaluation of a Second-Order Accurate Navier-Stokes Code for Detached Eddy Simulation Past a Circular Cylinder , 2003 .

[14]  C. L. Merkle,et al.  The application of preconditioning in viscous flows , 1993 .

[15]  S. Corrsin,et al.  Simple Eulerian time correlation of full-and narrow-band velocity signals in grid-generated, ‘isotropic’ turbulence , 1971, Journal of Fluid Mechanics.

[16]  E. Turkel,et al.  Preconditioned methods for solving the incompressible low speed compressible equations , 1987 .

[17]  G. Candler,et al.  Detached eddy simulation of supersonic base flow with bleed , 2004 .

[18]  P. Spalart.  Comments on the feasibility of LES for wings, and on a hybrid RANS/LES approach , 1997 .

[19]  F. Swesty,et al.  Thermodynamically Consistent Interpolation for Equation of State Tables , 1996 .

[20]  G. Brown,et al.  Heat transfer and boundary layer growth for ultra high Reynolds number compressible turbulent boundary layers for a radiatively driven hypersonic wind tunnel , 2002 .

[21]  Jack R. Edwards,et al.  Hybrid Simulation Approach for Cavity Flows: Blending, Algorithm, and Boundary Treatment Issues , 2003 .

[22]  M. Lesieur,et al.  New Trends in Large-Eddy Simulations of Turbulence , 1996 .

[23]  Philip L. Roe,et al.  Characteristic time-stepping or local preconditioning of the Euler equations , 1991 .

[24]  Eli Turkel,et al.  Local preconditioners for steady and unsteady flow applications , 2005 .

[25]  R. Cummings,et al.  Detached-eddy simulation with compressibility corrections applied to a supersonic axisymmetric base flow , 2002 .

[26]  O. Redlich,et al.  On the thermodynamics of solutions; an equation of state; fugacities of gaseous solutions. , 1949, Chemical reviews.

[27]  Charles L. Merkle,et al.  Computation of Flows with Arbitrary Equations of State , 1998 .

[28]  C. Merkle,et al.  Dual time-stepping and preconditioning for unsteady computations , 1995 .

[29]  Charles L. Merkle,et al.  Analysis of Real Fluid Flows in Converging Diverging Nozzles , 2003 .

[30]  Charles L. Merkle,et al.  Convergence Assessment of General Fluid Equations on Unstructured Hybrid Grids , 2001 .