Hostname: page-component-cd9895bd7-gbm5v Total loading time: 0 Render date: 2024-12-23T07:13:19.079Z Has data issue: false hasContentIssue false
  • English
  • Français

Noise Prediction in Subsonic Flow Using Seventh-Order Dissipative Compact Scheme on Curvilinear Mesh

Published online by Cambridge University Press:  27 January 2016

Meiliang Mao ,
Yi Jiang ,
Xiaogang Deng  and
Huayong Liu
Meiliang Mao
Affiliation:
State Key Laboratory of Aerodynamics, China Aerodynamics Research and Development Center, P.O. Box 211, Mianyang 621000, China Computational Aerodynamics Institute, China Aerodynamics Research and Development Center, P.O. Box 211, Mianyang 621000, China
Yi Jiang*
Affiliation:
State Key Laboratory of Aerodynamics, China Aerodynamics Research and Development Center, P.O. Box 211, Mianyang 621000, China Computational Aerodynamics Institute, China Aerodynamics Research and Development Center, P.O. Box 211, Mianyang 621000, China
Xiaogang Deng
Affiliation:
National University of Defense Technology, Changsha 410073, China
Huayong Liu
Affiliation:
State Key Laboratory of Aerodynamics, China Aerodynamics Research and Development Center, P.O. Box 211, Mianyang 621000, China
*
*Corresponding author. Email: [email protected] (Y. Jiang)
Get access

Abstract

In this paper, we investigate the performance of the seventh-order hybrid cell-edge and cell-node dissipative compact scheme (HDCS-E8T7) on curvilinear mesh for noise prediction in subsonic flow. In order to eliminate the errors due to surface conservation law (SCL) is dissatisfied on curvilinear meshes, the symmetrical conservative metric method (SCMM) is adopted to calculate the grid metric derivatives for the HDCS-E8T7. For the simulation of turbulence flow which may have main responsibility for the noise radiation, the new high-order implicit large eddy simulation (HILES) based on the HDCS-E8T7 is employed. Three typical cases, i.e., scattering of acoustic waves by multiple cylinder, sound radiated from a rod-airfoil and subsonic jet noise from nozzle, are chosen to investigate the performance of the new scheme for predicting aeroacoustic problem. The results of scattering of acoustic waves by multiple cylinder indicate that the HDCS-E8T7 satisfying the SCL has high resolution for the aeroacoustic prediction. The potential of the HDCS-E8T7 for aeroacoustic problems on complex geometry is shown by the predicting sound radiated from a rod-airfoil configuration. Moreover, the subsonic jet noise from nozzle has been successfully predicted by the HDCS-E8T7.

Keywords

Aeroacousticsseventh-order hybrid cell-edge and cell-node dissipative compact scheme (HDCS-E8T7)high-order implicit large eddy simulation (HILES)symmetrical conservative metric method (SCMM)complex geometry
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 8 , Issue 2 , April 2016 , pp. 236 - 256
Copyright
Copyright © Global-Science Press 2016 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

[1]Wang, M., Freund, J. B., and Lele, S. K., Computational prediction of flow-generated sound, Annu. Rev. Fluid Mech., 38 (2006), pp. 483–512.Google Scholar
[2]Jordan, P. and Colonius, T., Wave packets and turbulent jet noise, Annu. Rev. Fluid Mech., 45 (2013), pp. 175–195.Google Scholar
[3]Tam, K. W. C., Recent advances in computational aeroacoustics, Fluid Dyn. Research, 38 (2006), pp.591–615.Google Scholar
[4]Colonius, T. and Lele, S. K., Computational aeroacoustics: progress on nonlinear problems of sound generation, Progress in Aerospace Sciences, 40 (2004), pp. 345–416.Google Scholar
[5]Paliath, U., Shen, H., Avancha, R. and Shieh, C., Large eddy simulation for jets from chevron and dual flow nozzles, AIAA Paper 2011-2881.Google Scholar
[6]Bailly, C., Bogey, C., and Marsden, O., Progress in direct noise computation, Int. J. Aeroacoustics, 9 (2010), pp. 123–143.Google Scholar
[7]K. Lele, S., Compact finite difference schemes with spectral-like resolution, J. Comput. Phys., 103 (1992), pp. 16–42.Google Scholar
[8]Daude, F., Berland, J., Emmert, T., Lafon, P., Crouzet, F. and Bailly, C., A high-order finite-difference algorithm for direct computation of aerodynamic sound, Comput. Fluids, 61 (2012), pp. 46–63.Google Scholar
[9]P. Rizzetta, D., Visbal, M. R. and Morgan, P. E., A high-order compact finite-difference scheme for large-eddy simulation of active flow control, Progress in Aerospace Sciences, 44 (2008), pp.397–426.CrossRefGoogle Scholar
[10]Wang, Z.J., High-order methods for the Euler and Navier-Stokes equations on unstructured grids, Progress in Aerospace Sciences, 43 (2007), pp. 1–41.Google Scholar
[11]Ekaterinaris, J. A., High-order accurate, low numerical diffusion methods for aerodynamics, Progress in Aerospace Sciences, 41(3-4) (2005), pp. 192–300.CrossRefGoogle Scholar
[12]Nonomura, T., Iizuka, N. and Fujii, K., Freestream and vortex preservation properties of high-order WENO and WCNS on curvilinear grids, Comput. Fluids, 39 (2010), pp. 197–214.Google Scholar
[13]Thomas, P. D. and Lombard, C. K., Geometric conservation law and its application to flow computations on moving grids, AIAAJ., 17(10) (1979), pp. 1030–1037.Google Scholar
[14]Pulliam, T. H. and Steger, J. L., On implicit finite-difference simulations of three-dimensional flow, AIAA Paper 78-10.Google Scholar
[15]Deng, X. G.,Mao, M. L., Tu, G. H., Liu, H. Y. and Zhang, H. X., Geometric conservation law and applications to high-order finite difference schemes with stationary grids, J. Comput. Phys., 230 (2011), pp. 1100–1115.CrossRefGoogle Scholar
[16]Visbal, R. M. and Gaitonde, D. V., On the use of higher-order finite-difference schemes on curvilinear and deforming meshes, J. Comput. Phys., 181 (2002), pp. 155–185.Google Scholar
[17]Deng, X. G., Jiang, Y., Mao, M. L., Liu, H. Y. and Tu, G. H., Developing hybrid cell-edge and cell-node dissipative compact scheme for complex geometry flows, Sci. China Tech. Sci., 56 (2013), pp.2361–2369.Google Scholar
[18]Deng, X. G., Jiang, Y., Mao, M. L., Liu, H. Y., Li, S. and Tu, G. H., A family of hybrid cell-edge and cell-node dissipative compact schemes satisfying geometric conservation law, Comput. Fluids, 116 (2015), pp. 29–45Google Scholar
[19]Deng, X. G., Mao, M. L., Tu, G. H., Zhang, Y. F. and Zhang, H. X., Extending weighted compact nonlinear schemes to complex grids with characteristic-based interface conditions, AIAA J., 48(12) (2010), pp. 2840–2851.Google Scholar
[20]Tu, G. H., Deng, X. G. and Mao, M. L., Implementing high-order weighted compact nonlinear scheme on patched grids with a nonlinear interpolation, Comput. Fluids, 77 (2013), pp. 181–193.Google Scholar
[21]Jiang, Y., Mao, M. L., Deng, X. G. and Liu, H. Y., Large eddy simulation on curvilinear meshes using seventh-order dissipative compact scheme, Comput. Fluids, 104 (2014), pp. 73–84.Google Scholar
[22]Boris, J. P., Grinstein, F. F., Oran, E. S. and Kolbe, R. L., New insights into large eddy simulation, Fluid Dyn. Res., 10 (1992), pp. 199–228.Google Scholar
[23]Jiang, Y., Mao, M. L., Deng, X. G. and Liu, H. Y., Effect of surface conservation law on large eddy simulation based on seventh-order dissipative compact scheme, Appl. Mech. Mater., 419 (2013), pp. 30–37.Google Scholar
[24]Jiang, Y., Mao, M. L., Deng, X. G. and Liu, H. Y., Extending seventh-order dissipative compact scheme satisfying geometric conservation law to large eddy simulation on curvilinear grids, Adv. Appl. Math. Mech., 7(2) (2015), pp. 1–23.Google Scholar
[25]Jiang, Y., Mao, M. L., Deng, X. G., Liu, H. Y., Li, S. and Yan, Zh. G., Extending seventh-order hybrid cell-edge and cell-node dissipative compact scheme to complex grids, The 4th Asian Symposium on Computational Heat Transfer and Fluid Flow, Hong Kong, 3-6 June 2013.Google Scholar
[26]Deng, X. G., Maekawa, H. and Shen, Q., A class of high-order dissipative compact schemes, AIAA paper, 1996–1972.Google Scholar
[27]Mao, M. L. and Deng, X. G., Boundary schemes and asymptotic stability for high-order dissipative compact schemes, Acta Aerodynamica Sinica, 18(2) (2000), pp. 165–171.Google Scholar
[28]Mao, M. L., Deng, X. G. and Li, S., Spectrum characteristic of dissipative compact schemes and application to couette flow, Chinese Journal of Computational Physics, 26(3) (2009), pp. 371–377.Google Scholar
[29]Mao, M. L., Jiang, Y. and Deng, X. G., Study of LDDRK schemes for DCS5 scheme, Chinese Journal of Computational Physics, 27(2) (2010), pp. 159–167.Google Scholar
[30]Jiang, Y., Mao, M. L. and Deng, X. G., Application of DCS5 scheme in CAA, Acta Aerodynamica Sinica, 30(4) (2012), pp. 431–436.Google Scholar
[31]Tam, C. K. W. and Webb, J. C., Dispersion-relation-preserving finite difference schemes for computational acoustics, J. Comput. Phys., 107 (1993), pp. 262–281.Google Scholar
[32]Hu, F. Q., Hussaini, M. Y. and Manthey, J. L., Low-dissipation and low-dispersion Runge-kutta schemes for computational acoustics, J. Comput. Phys., 124 (1996), pp. 177–191.Google Scholar
[33]John, M. H. and Jameson, A., An implicit-explicit hybrid scheme for calculating complex unsteady flows, AIAA paper, 2002-0714.Google Scholar
[34]Gordnier, R. E. and Visbal, M. R., Numerical simulation of delta-wing roll, AIAA Paper, 93-0554.Google Scholar
[35]Deng, X. G., Min, Y. B., Mao, M. L., Liu, H. Y., Tu, G. H. and Zhang, H. X., Further studies on geometric conservation law and applications to high-order finite difference schemes with stationary grids, J. Comput. Phys., 239 (2013), pp. 90–111.Google Scholar
[36]Lyrintzis, A. S., Surface integral methods in computational aeroacoustics-from the (CFD) near-field to the (acoustic) far-field, Int. J. Aeroacoustics, 2(2) (2003), pp. 95–128.Google Scholar
[37]Bodony, D. J., Analysis of sponge zones for computational fluid mechanics, J. Comput. Phys., 212 (2006), pp. 681–702.Google Scholar
[38]Jacob, M. C., Boudet, J., Casalino, D. and Michard, M., A rod-airfoil experiment as benchmark for broadband noise modeling, J. Theoret. Comput. Fluid Dyn., 19(3) (2005), pp. 171–196.CrossRefGoogle Scholar
[39]Poinsot, T. and Lele, S. K., Boundary conditions for direct simulations of compressible viscous flows, J. Comput. Phys., 101 (1992), pp. 104–129.Google Scholar
[40]Boudet, J., Grosjean, N. and Jacob, M. C., Wake-airfoil interaction as broadband noise source: a large-eddy simulation study, Int. J. Aeroacoustics, 4(1) (2005), pp. 93–116.Google Scholar
[41]Xu, C. Y., Chen, L. W. and Lu, X. Y., Large-eddy simulation of the compressible flow past a wavy cylinder, J. Fluid Mech., 665 (2010), pp. 238–273.Google Scholar
[42]Andersson, N., Eriksson, L. E. and L. Davidson, A study of Mach 0.75 jets and their radiated sound using large eddy simulation, AIAA paper, 2004-3024.Google Scholar
[43]Tide, P.S. and Babu, V., Numerical predictions of noise due to subsonic jets from nozzles with and without chevrons, Appl. Acoustics, 70 (2009), pp. 321–332.Google Scholar