A hybrid fourier PSTD/DG method to solve the linearized euler equations: Optimization and accuracy

22nd AIAA/CEAS Aeroacoustics Conference, 2016

Volumn , Issue , 2016, Pages

  Muñoz, Raúl Pagán ^a,b   Hornikx, Maarten ^a,b  

^a EINDHOVEN UNIVERSITY OF TECHNOLOGY   (Netherlands)

^b Department of the Built Environment ^*  (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC WAVE PROPAGATION; AEROACOUSTICS; BOUNDARY CONDITIONS; DATA TRANSFER; ELECTRONIC DATA INTERCHANGE; EULER EQUATIONS; FOURIER TRANSFORMS; GALERKIN METHODS; INTERPOLATION; LINEARIZATION; LOW PASS FILTERS;

ARBITRARY BOUNDARY CONDITIONS; DISCONTINUOUS GALERKIN METHODS; FREQUENCY INDEPENDENT; GEOMETRICAL COMPLEXITY; LINEARIZED EULER EQUATION; LINEARIZED EULER EQUATIONS; PSEUDOSPECTRAL TIME DOMAIN; SPECTRAL INTERPOLATION;

TIME DOMAIN ANALYSIS;

EID: 85057294093     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2514/6.2016-2718     Document Type: Conference Paper

References (21)

1. Hesthaven, J. S., Gottlieb, S. and Gottlieb, D., “Spectral Methods for Time-Dependent Problems,” Cambridge: Cambridge University Press, 2007.
2. Hornikx, M., Waxler, R. and Forssén, J., “Theffextended Fourier pseudospectral time-domain method for atmospheric sound propagation,” The Journal of the Acoustical Society of America, vol. 128, October 2010, pp. 1632–1646.
3. Hornikx, M., De Roeck, W., Toulorge, T. and Desmet, W., “Flow and geometrical effects on radiated noise from exhaust pipes computed by the Fourier pseudospectral time-domain method,” Computers & Fluids, vol. 116, August 2015, pp. 176–191.
4. Liu, Q. H., “The PSTD algorithm: A time-domain method requiring only two cells per wavelength,” Microwave and Optical Technology Letters, vol. 15, June 1997, pp. 158–165.
5. Liu, Q. H., “The pseudospectral time-domain (PSTD) algorithm for acoustic waves in absorptive media,” IEEE transactions on ultrasonics, ferroelectrics, and frequency control, vol. 45, January 1998, pp. 1044–55.
6. Spa, C., Escolano, J. and Garriga, A., “Semi-empirical boundary conditions for the linearized acoustic Euler equations using Pseudo-Spectral Time-Domain methods,” Applied Acoustics, vol. 72, March 2011, pp. 226–230.
7. Van Renterghem, T., “Efficient outdoor sound propagation modeling with the finite-di erence time-domain (FDTD) method: a review,” International Journal of Aeroacoustics, vol. 13, October 2014, pp. 385–404.
8. Hornikx, M., De Roeck, W. and Desmet, W., “A multi-domain Fourier pseudospectral time-domain method for the linearized Euler equations,” Journal of Computational Physics, vol. 231, May 2012, pp. 4759–4774.
9. Utzmann, J., Schwartzkop, T., Dumbser, M. and Munz, C.-D., “Heterogeneous Domain Decomposition for Numerical Aeroacoustics,” Multifield Problems in Solid and Fluid Mechanics SE - 13, R. Helmig, A. Mielke, and B. Wohlmuth, eds., Springer Berlin Heidelberg, 2006, pp. 429–459.
10. Léger, R., Peyret, C. and Piperno, S., “Coupled Discontinuous Galerkin/Finite Di erence Solver on Hybrid Meshes for Computational Aeroacoustics,” AIAA Journal, vol. 50, February 2012, pp. 338–349.
11. Lisitsa, V., Tcheverda, V. and Botter, C., “Combination of the discontinuous Galerkin method with finite di erences for simulation of seismic wave propagation,” Journal of Computational Physics, vol. 311, April 2016, pp. 142–157.
12. Dumbser, M. and Munz, C.-D., “ADER discontinuous Galerkin schemes for aeroacoustics,” Comptes Rendus Mécanique, vol. 333, September 2005, pp. 683–687.
13. Y. Reymen, W. De Roeck, G. Rubio, M. Baelmans and W. Desmet, “A 3D Discontinuous Galerkin Method for Aeroa-coustic Propagation,” Proceedings of the 12th International Congress on Sound and Vibration, Paper 387, July 2005.
14. Toulorge, T., and Desmet, W., “Optimal RungeKutta schemes for discontinuous Galerkin space discretizations applied to wave propagation problems,” Journal of Computational Physics, vol. 231, February 2012, pp. 2067–2091.
15. Toulorge, T. and Desmet, W., “Curved Boundary Treatments for the Discontinuous Galerkin Method Applied to Aeroa-coustic Propagation,” AIAA Journal, April 2012.
16. Atkins, H. L. and Chi-Shu, W., “Quadrature-free implementation of Discontinuous Galerkin method for hyperbolic equations,” AIAA Journal, Vol. 36, No. 5, 1998, pp. 775–782.
17. Hesthaven, J. S. and Warburton, T., “Nodal discontinuous Galerkin methods: Algorithms, analysis and applications,” vol. 54, New York, NY: Springer New York, 2008.
18. Williamson, J., “Low-storage Runge-Kutta schemes,” Journal of Computational Physics, vol. 35, March 1980, pp. 48–56.
19. Reymen, Y., Baelmans, M. and Desmet, W., “Efficient Implementation of Tam and Auriault's Time-Domain Impedance Boundary Condition,” AIAA Journal, vol. 46, September 2008, pp. 2368–2376.
20. Bogey, C. and Bailly, C., “A family of low dispersive and low dissipativeffexplicit schemes for flow and noise computations,” Journal of Computational Physics, vol. 194, February 2004, pp. 194–214.
21. Hu, F. Q. and Atkins, H. L., “Eigensolution Analysis of the Discontinuous Galerkin Method with Nonuniform Grids,” Journal of Computational Physics, vol. 182, November 2002, pp. 516–545.