Abstract
Acoustics loads are rocket design constraints which push researches and engineers to invest efforts in the aeroacoustics phenomena which is present on launch vehicles. Therefore, an in-house computational fluid dynamics tool is developed in order to reproduce high-fidelity results of supersonic jet flows for aeroacoustic analogy applications. The solver is written using the large eddy simulation formulation that is discretized using a finite-difference approach and an explicit time integration. Numerical simulations of supersonic jet flows are very expensive and demand efficient high-performance computing. Therefore, non-blocking message passage interface protocols and parallel input/output features are implemented into the code in order to perform simulations which demand up to one billion degrees of freedom. The present work evaluates the parallel efficiency of the solver when running on a supercomputer with a maximum theoretical peak of 127.4 TFLOPS. Speedup curves are generated using nine different workloads. Moreover, the validation results of a realistic flow condition are also presented in the current work.
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References
Altair (2019) PBS worksTM, https://www.pbsworks.com/
Amdahl GM (1967) Validity of the single processor approach to achieving large scale computing capabilities. In: AFIPS conference proceedings, vol 30. ACM, Atlantic City, N.J., USA, pp. 483–485
Bodony D, Lele SK (2005) On using large-eddy simulation for the prediction of noise from cold and heated turbulent jets. Phys Fluids 17(8):085103
Bridges J, Wernet MP (2008) Turbulence associated with broadband shock noise in hot jets. In: AIAA Paper No. 2008-2834. In: Proceedings of the 14th AIAA/CEAS aeroacoustics conference (29th AIAA Aeroacoustics Conference), Vancouver, Canada,
Center for Mathematical Sciences Applied to Industry (CEPID-CeMEAI) (2016) (CEPID-CeMEAI) web page, https://www.cemeai.icmc.usp.br/
Cohen E, Gloerfelt X (2018) Influence of pressure gradients on wall pressure beneath a turbulent boundary layer. J Fluid Mech 838:715–758
Darema F (2001) SPMD model: past, present and future. In: 8th European PVM/MPI users’ group meeting recent advances in parallel virtual machine and message passing interface, Santorini/Thera, Greece, pp. 23–26
Dongarra JJ, Otto SW, Snir M, Walker D (1995) An introduction to the MPI Standard. Technical report, Knoxville, TN, USA
Folk M, Cheng A, Yates K (1999) HDF5: a file format and I/O library for high performance computing applications. Proc Supercomput 99:5–33
Folk M, Heber G, Koziol Q, Pourmal E, Robinson D (2011) An overview of the HDF5 technology suite and its applications. In: Proceedings of the EDBT/ICDT 2011 Workshop on Array Databases. ACM, pp. 36–47
Garnier E, Adams N, Sagaut P (2009) Large eddy simulation for compressible flows. Springer, Berlin
Gloerfelt X, Cinnella P (2019) Large Eddy Simulation Requirements for the Flow over Periodic Hills. Flow Turbul Combust 103(1):55–91. https://doi.org/10.1007/s10494-018-0005-5
Gusev M, Ristov S (2014) A superlinear speedup region for matrix multiplication. Concurr Comput Pract Exp 26(11):1847–1868
Gustafson JL (1988) Reevaluating Amdahl’s law. Commun ACM 31(5):532–533
Jameson A, Mavriplis D (1986) Finite volume solution of the two-dimensional Euler equations on a regular triangular mesh. AIAA J 24(4):611–618
Jameson A, Schmidt W, Turkel E (1981) Numerical solutions of the Euler equations by finite volume methods using Runge-Kutta time-stepping schemes. In: Proceedings of the AIAA 14th fluid and plasma dynamic conference AIAA paper 81–1259, Palo Alto, California, USA
Junqueira-Junior C (2016) Development of a parallel solver for large eddy simulation of supersonic jet flow. PhD thesis, Instituto Tecnológico de Aeronáutica, São José dos Campos, SP, Brazil,
Junqueira-Junior C, Yamouni S, Azevedo JLF, Wolf WR (2018) Influence of different subgrid-scale models in low-order les of supersonic jet flows. J Braz Soc Mech Sci Eng 40(258):1–29
Legensky SM, Edwards DE, Bush RH, Poirier DM (2002) CFD general notation system (CGNS)—status and future directions. In: Proceedings of 40th AIAA aerospace sciences meeting & ExhibitAIAA Paper No. 2002-0752, Reno, NV
Li Y, Wang ZJ (2015) A priori and a posteriori evaluation of subgrid stress models with the burger’s equation. In: Proceedings of 53rd AIAA aerospace sciences meeting AIAA-2015-1283. Kissimmee, Florida, U.S.A, pp. 20
Lo SC, Aikens KM, Blaisdell GA, Lyrintzis AS (2012) Numerical investigation of 3-D supersonic jet flows using large-eddy simulation. Int J Aeroacoust 11(7):783–812
Long LN, Khan M, Sharp HT (1991) A massively parallel three-dimensional Euler/Navier–Stokes method. AIAA J 29(5):657–666
Lustre® (2019) Lustre® filesystem page, https://www.lustre.org/
Mendez S, Shoeybi M, Sharma A, Ham FE, Lele S K, Moin P (2010) Large-eddy simulations of perfectly-expanded supersonic jets: quality assessment and validation. In: 48th AIAA aerospace sciences meeting including the new horizons forum and aerospace exposition AIAA Paper No. 2010–0271, Orlando, USA
Mendez S, Shoeybi M, Sharma A, Ham FE, Leleand SK, Moin P (2012) Large-eddy simulations of perfectly-expanded supersonic jets using an unstructured solver. AIAA J 50(5):1103–1118
Poirier D, Enomoto FY (1998) The CGNS system. In Proceedings of 29th AIAA fluid dynamics conference, AIAA Paper No. 98-3007, Albuquerque, NM
Poirier DMA, Bush RH, Cosner RR, Rumsey CL, McCarthy DR (2000) Advances in the CGNS database standard for aerodynamics and CFD. In: 38th AIAA Aerospace Sciences Meeting & Exhibit AIAA Paper No. 2000-0681, Reno, NV
RedHat (2019) RedHat web page http://www.redhat.com/
Ristov S, Prodan R, Gusev M, Skala K (2016) Superlinear speedup in HPC systems: why and when? In: Proceedings of the 2016 federated conference on computer science and information systems. Gdańsk, Poland, pp. 889–898
Rumsey CL, Wedan B, Hauser T, Poinot M (2012) Recent updates to the CFD general notation system (CGNS). In: Proceedings of 50th AIAA aerospace sciences meeting, AIAA Paper No. 2012-1264, Nashville, TN, USA, pp. 16
Sagaut Pierre (2002) Large eddy simulation for incompressible flows. Springer, Berlin
Sciacovelli L, Cinnella P, Gloerfelt X (2017) Direct numerical simulations of supersonic turbulent channel flows of dense gases. J Fluid Mech 821:153–199
Sun XH, Chen Y (2010) Reevaluating Amdahl’s law in multicore era. J Parallel Distrib Comput 70(2):183–188
Turkel E, Vatsa VN (1994) Effect of artificial viscosity on three-dimensional flow solutions. AIAA J 32(1):39–45
Vreman AW (1995) Direct and large-eddy simulation of the compressible turbulent mixing layer. PhD thesis, Universiteit Twente
Wolf W, Lele SK (2011) Airfoil Aeroacoustics: LES and acoustic analogy predictions. PhD thesis, Stanford, Stanford, CA, USA
Wolf WR, Azevedo JLF, Lele SK (2012) Convective effects and the role of quadrupole sources for aerofoil aeroacoustics. J Fluid Mech 708:502–538
Acknowledgements
The authors gratefully acknowledge the partial support for this research provided by Conselho Nacional de Desenvolvimento Científico e Tecnológico, CNPq, under the Research Grant Nos. 309985/2013-7, 400844/2014-1 and 443839/2014-0. The authors are also indebted to the partial financial support received from Fundação de Amparo à Pesquisa do Estado de São Paulo, FAPESP, under the Research Grant Nos. 2013/07375-0 and 2013/21535-0.
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Junqueira-Junior, C., Azevedo, J.L.F., Panetta, J. et al. Strong scaling of numerical solver for supersonic jet flow configurations. J Braz. Soc. Mech. Sci. Eng. 41, 547 (2019). https://doi.org/10.1007/s40430-019-2055-6
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DOI: https://doi.org/10.1007/s40430-019-2055-6