A Nonlinear Quasi-3D Approach for the Modeling of Mufflers with Perforated Elements and Sound-Absorbing Material

Increasing demands on the capabilities of engine thermo-fluid dynamic simulation and the ability to accurately predict both performance and acoustics have led to the development of several approaches, ranging from fully 3D to simplified 1D models. The quasi-3D approach is proposed as a compromise between the time-demanding 3D CFD analysis and the fast 1D approach; it allows to model the acoustics of intake and exhaust system components, used in internal combustion engines, resorting to a 3D network of 0D cells. Due to its 3D nature, the model predicts high-order modes, improving the accuracy at high frequencies with respect to conventional plane-wave approaches. The conservation equations of mass and energy are solved at cell centers, whereas the momentum equation is applied to cell connections including specific source term to account for the of sound-absorbing materials and perforated elements. The quasi-3D approach has been validated by comparing the predicted transmission loss to measured data for a number of standard configurations typical of internal combustion engine exhaust systems: a reverse-flow chamber and series chambers with perforates and resistive material.

[1]  Gianluca D'Errico,et al.  Prediction of the Attenuation Characteristics of I.C. Engine Silencers by 1-D and Multi-D Simulation Models , 2006 .

[2]  L. J. Eriksson,et al.  Higher order mode effects in circular ducts and expansion chambers , 1979 .

[3]  U. Ingard On the Theory and Design of Acoustic Resonators , 1953 .

[4]  Francisco José Arnau,et al.  Time-domain computation of muffler frequency response: Comparison of different numerical schemes , 2007 .

[5]  Robert Fairbrother,et al.  Acoustic Simulation of an Automotive Muffler with Perforated Baffles and Pipes , 2007 .

[6]  A. Cummings,et al.  A time domain solution for the attenuation, at high amplitudes, of perforated tube silencers and comparison with experiment† , 1988 .

[7]  P.O.A.L. Davies,et al.  Practical flow duct acoustics , 1988 .

[8]  Antonio J. Torregrosa,et al.  The 3Dcell Approach for the Acoustic Modeling of After-Treatment Devices , 2011 .

[9]  Z. Ji,et al.  Influence of mean flow on acoustic attenuation performance of straight-through perforated tube reactive silencers and resonators , 2010 .

[10]  G. Ferrari,et al.  High resolution central schemes for multi-dimensional non-linear acoustic simulation of silencers in internal combustion engines , 2011, Math. Comput. Model..

[11]  A. Torregrosa,et al.  Numerical Estimation of End Corrections in Extended-Duct and Perforated-Duct Mufflers , 1999 .

[12]  K. S. Peat,et al.  AN ALGORITHM FOR THE EFFICIENT ACOUSTIC ANALYSIS OF SILENCERS OF ANY GENERAL GEOMETRY , 2004 .

[13]  Zhi-yong Hao,et al.  Optimal design of acoustic performance for automotive air-cleaner , 2010 .

[14]  Alan S. Hersh,et al.  Helmholtz Resonator Impedance Model, Part 1: Nonlinear Behavior , 2003 .

[15]  Yann Guezennec,et al.  Modeling wave action effects in internal combustion engine air path systems: comparison of numerical and system dynamics approaches , 2013 .

[16]  L. J. Eriksson,et al.  The effect of inlet/outlet locations on higher order modes in silencers , 1981 .

[17]  M. F. Harrison,et al.  A linear acoustic model for intake wave dynamics in IC engines , 2004 .

[18]  Angelo Onorati,et al.  A Coupled 1D-multiD Nonlinear Simulation of I.C. Engine Silencers with Perforates and Sound-Absorbing Material , 2009 .

[19]  Angelo Onorati,et al.  Nonlinear fluid dynamic modeling of reactive silencers involving extended inlet/outlet and perforated ducts , 1997 .

[20]  Fabio Bozza,et al.  The Prediction of the Performance and Gasdynamic Noise Emitted by a Medium-Size Spark-Ignition Engine by Means of 1D and 3D Analyses , 2007 .

[21]  N. S. Dickey,et al.  Acoustic nonlinearity of a circular orifice: An experimental study of the instantaneous pressure/flow relationship , 1998 .

[22]  Alberto Broatch,et al.  A CFD APPROACH TO THE COMPUTATION OF THE ACOUSTIC RESPONSE OF EXHAUST MUFFLERS , 2005 .

[23]  David J. Moenssen,et al.  A Correlation Study of Computational Techniques to Model Engine Air Induction System Response Including BEM, FEM and 1D Methods , 2003 .

[24]  Ahmet Selamet,et al.  Acoustic attenuation of hybrid silencers , 2003 .

[25]  V. Tandon,et al.  Optimized Design of Silencer - An Integrated Approach , 2007 .

[26]  Angelo Onorati,et al.  The Prediction of Silencer Acoustical Performances by 1D, 1D-3D and quasi-3D Non-Linear Approaches , 2013 .

[27]  F. Payri,et al.  APPLICATION OF MacCORMACK SCHEMES TO I.C. ENGINE EXHAUST NOISE PREDICTION , 1996 .

[28]  J. M. Novak,et al.  Theoretical, Computational and Experimental Investigation of Helmholtz Resonators: One-Dimensional versus Multi-Dimensional Approach , 1994 .

[29]  Thomas Morel,et al.  Fluid Dynamic and Acoustic Modeling of Concentric-Tube Resonators/Silencers , 1991 .