Assessment of a Two-Way Coupling Methodology Between a Flow and a High-Order Nonlinear Acoustic Unstructured Solvers

A two-way coupling on unstructured meshes between a flow and a high-order acoustic solvers for jet noise prediction is considered. The flow simulation aims at generating acoustic sources in the near field while the acoustic simulation solves the full Euler equations, thanks to a discontinuous Galerkin method, in order to take into account nonlinear acoustic propagation effects. This methodology is firstly validated on academic cases involving nonlinear sound propagation, shock waves and convection of aerodynamic perturbations. The results are compared to analytical solutions and direct computations. A good behaviour of the coupling is found regarding the targeted space applications. An application on a launch pad model is then simulated to demonstrate the robustness and reliability of the present approach.

[1]  J. Gallagher,et al.  Experiments on the nonlinear characteristics of noise propagation from low and moderate Reynolds number supersonic jets , 1981 .

[2]  R. Hartmann,et al.  Adaptive discontinuous Galerkin finite element methods for the compressible Euler equations , 2002 .

[3]  C. Tam,et al.  The sources of jet noise: experimental evidence , 2007, Journal of Fluid Mechanics.

[4]  S. Rice Elements of gasdynamics, H. W. Liepmann and A. Roshko, John Wiley & Sons, 439 pages. $11.00 , 1959 .

[5]  J. M. Seiner,et al.  Advances in high speed jet aeroacoustics , 1984 .

[6]  Francois Vuillot,et al.  Investigation of integral surface formulations for acoustic post-processing of unsteady aerodynamic jet simulations , 2004 .

[7]  J. Ryan,et al.  Euler/Navier-Stokes couplings for multiscale aeroacoustic problems , 2011 .

[8]  F. Vuillot,et al.  Numerical Study of Free Supersonic Hot Jet on Unstructured Grids with Emphasis on Aerodynamics and Resulting Radiated Noise , 2016 .

[9]  Jay C. Hardin,et al.  ICASE/LaRC Workshop on Benchmark Problems in Computational Aeroacoustics (CAA) , 1995 .

[10]  Anastasios S. Lyrintzis,et al.  Coupling of Integral Acoustics Methods with LES for Jet Noise Prediction , 2004 .

[11]  Choi-Hong Lai,et al.  On the coupling of Navier–Stokes and linearised Euler equations for aeroacoustic simulation , 2000 .

[12]  Seiji Tsutsumi,et al.  Assessing Prediction and Reduction Technique of Lift-off Acoustics Using Epsilon Flight Data , 2015 .

[13]  S. Redonnet,et al.  On the signal degradation induced by the interpolation and the sampling rate reduction in aeroacoustics hybrid methods , 2013 .

[14]  C. Bresson,et al.  Reduction of supersonic jet noise - Application to the Ariane 5 launch vehicle , 2000 .

[15]  Sébastien Barré,et al.  Simulation of a hot coaxial jet: Direct noise prediction and flow-acoustics correlations , 2009 .

[16]  Neil D. Sandham,et al.  Low-Dissipative High-Order Shock-Capturing Methods Using Characteristic-Based Filters , 1999 .

[17]  Ronan Guénanff,et al.  Couplage instationnaire Navier-Stokes/Euler pour la génération et le rayonnement des sources de bruit aérodynamique , 2004 .

[18]  L. Tessé,et al.  Numerical Study of Solid-Rocket Motor Ignition Overpressure Wave Including Infrared Radiation , 2014 .

[19]  E. Louaas,et al.  Ariane 5 flight environments , 2001 .

[20]  C. Bogey,et al.  Noise of an Overexpanded Mach 3.3 Jet: Non-Linear Propagation Effects and Correlations with Flow , 2014 .

[21]  Michael Dumbser,et al.  Fluid-Acoustic Coupling and Wave Propagation , 2009 .

[22]  Robert E. Harris,et al.  Coupled Overset Unstructured Discontinuous Galerkin Method for Launch Environment Acoustics Prediction , 2015 .

[23]  Jean Varnier,et al.  Simplified Approach of Jet Aerodynamics with a View to Acoustics , 2006 .

[24]  Max Kandula,et al.  Near-field acoustics of clustered rocket engines , 2008 .

[25]  Christophe Peyret,et al.  hp Discontinuous Galerkin Method for Computational Aeroacoustics , 2006 .

[26]  Edward A. Luke,et al.  Assessing Acoustic Source Forcing Tools for Launch Vehicle Jet Noise Prediction , 2015 .

[27]  Christopher K. W. Tam,et al.  Computational aeroacoustics - Issues and methods , 1995 .

[28]  K. Fujii,et al.  High-speed jet noise , 2016 .

[29]  Sanjiva K. Lele,et al.  Unstructured Large-Eddy Simulations of Supersonic Jets , 2017 .

[30]  Maxime Huet,et al.  A CFD/CAA coupling method applied to jet noise prediction , 2013 .

[31]  Christophe Bailly,et al.  Investigation of a High-Mach-Number Overexpanded Jet Using Large-Eddy Simulation , 2011 .

[32]  C. Bailly,et al.  Numerical investigation of the noise generated by a rocket engine at lift-off conditions using a two-way coupled CFD-CAA method , 2017 .

[33]  R. Jeremy Kenny,et al.  Modifications to the NASA SP-8072 Distributed Source Method II for Ares I Lift-off Environment Predictions , 2009 .

[34]  Serge Piperno,et al.  Coupled Discontinuous Galerkin/Finite Difference Solver on Hybrid Meshes for Computational Aeroacoustics , 2012 .

[35]  D. Kassoy,et al.  Three-dimensional natural convection motion in a confined porous medium , 1978 .

[36]  C. Hirsch Numerical Computation of Internal and External Flows, Volume 2: Computational Methods for Inviscid and Viscous Flows , 1990 .

[37]  A. Lyrintzis Surface Integral Methods in Computational Aeroacoustics—From the (CFD) Near-Field to the (Acoustic) Far-Field , 2003 .

[38]  Nasa Acoustic loads generated by the propulsion system , 2019 .

[39]  David T. Blackstock,et al.  Connection between the Fay and Fubini Solutions for Plane Sound Waves of Finite Amplitude , 1966 .

[40]  Christopher K. W. Tam,et al.  SUPERSONIC JET NOISE , 1995 .

[41]  Elden F. Ray,et al.  Applications of Attenuations and Reflections in ISO 9613-2, Acoustics – Attenuation of Sound During Propagation Outdoors – Part 2: General Method of Calculation , 2004 .

[42]  Philippe Delorme,et al.  Computational aeroacoustics applications based on a discontinuous Galerkin method , 2005 .

[43]  M. Manhart,et al.  Numerical Simulation of Turbulent Flows and Noise Generation , 2009 .

[44]  Seiji Tsutsumi,et al.  Toward accurate simulation and analysis of strong acoustic wave phenomena—A review from the experience of our study on rocket problems , 2010 .