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Application of Parallel Computing Technologies for Numerical Simulation of Air Transport in the Human Nasal Cavity

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Innovative Computing, Optimization and Its Applications

Part of the book series: Studies in Computational Intelligence ((SCI,volume 741))

Abstract

The use of parallel computing technologies for numerical simulation of air transport in the human nasal cavity was considered in this paper. Investigation of air flow in the human nasal cavity is of considerable interest, since breathing is done mainly through the nose. A two-dimensional numerical simulation of air transport in the model cross-sections of the nasal cavity to normal human nose based on the Navier-Stokes equations, the equations for temperature and equation for relative humidity were conducted in this study. The projection method is used for the numerical solution of this system of equations. This numerical algorithm was fully parallelized using different geometric decompositions (1D, 2D, and 3D). A preliminary theoretical analysis of the speed-up and effectiveness of various methods of decomposition of the computational domain and the real numerical experiments for this problem were made in this work. Moreover the best domain decomposition method has been determined. The obtained data transfer numerical modelling air human nasal cavity was verified with known numerical results in the form of velocity and temperature profiles.

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References

  1. Cole, P. (1953). Some aspects of temperature, moisture and heat relationships in the upper respiratory tract. Journal of Laryngology and Otology, 67, 669–681.

    Article  Google Scholar 

  2. Ingelstedt, S. (1956). Studies on conditioning of air in the respiratory tract. Acta Oto-Laryngologica Supplementum, 131, 1–80.

    Google Scholar 

  3. Webb, P. (1951). Air temperatures in respiratory tracts of resting subjects. Journal of Applied Physiology, 4, 378–382.

    Google Scholar 

  4. Farley, R. D., & Patel, K. R. (1988). Comparison of air warming in human airway with thermodynamic model. Medical and Biological Engineering and Computing, 26, 628–632.

    Article  Google Scholar 

  5. Hanna, L. M., & Scherer, P. W. (1986). Measurement of local mass transfer coefficients in a cast model of the human upper respiratory tract. Journal of Biomechanical Engineering, 108, 12–18.

    Article  Google Scholar 

  6. McFadden, E. R. (1983). Respiratory heat and water exchange: Physiological and clinical implications. Journal of Applied Physiology, 54, 331–336.

    Google Scholar 

  7. Naftali, S., Schroter, R. C., Shiner, R. J.,  & Elad, D. (1998). Transport phenomena in the human nasal cavity: A computational model. Annals of Biomedical Engineering, 831–839.

    Google Scholar 

  8. Maran, A. G. D., & Lund, V. J. (1990). Clinical Rhinology. New York: Thieme Medical.

    Google Scholar 

  9. Issakhov, A. (2016). Mathematical modeling of the discharged heat water effect on the aquatic environment from thermal power plant under various operational capacities. Applied Mathematical Modelling, 40(2), 1082–1096. https://doi.org/10.1016/j.apm.2015.06.024.

  10. Issakhov, A. (2011). Large eddy simulation of turbulent mixing by using 3D decomposition method. Journal of Physics: Conference Series, 318(4), 1282–1288. https://doi.org/10.1088/1742-6596/318/4/042051.

  11. Inthavong, K., Tu, J. Y., & Heschl, C. (2011). Micron particle deposition in the nasal cavity using the v(2)-f model. Computers and Fluids, 51(1), 184–188. https://doi.org/10.1016/j.compfluid.2011.08.013.

  12. Wen, J., Inthavong, K., Tu, J., & Wang, S. M. (2008). Numerical simulations for detailed airflow dynamics in a human nasal cavity. Respiratory Physiology and Neurobiology, 161(2), 125–135. https://doi.org/10.1016/j.resp.2008.01.012.

  13. Zubair, M., Ahmad, K. A., Abdullah, M. Z., & Sufian, S. F. (2015). Characteristic airflow patterns during inspiration and expiration: Experimental and numerical investigation. Journal of Medical and Biological Engineering, 35(3), 387–394. https://doi.org/10.1007/s40846-015-0037-4.

  14. Fletcher C. A. J.,  & Fletcher C. A. (2013). Computational techniques for fluid dynamics, Vol. 1: Fundamental and general techniques (401 pp.). Springer.

    Google Scholar 

  15. Roache, P. J. (1972). Computational fluid dynamics (434 pp.). Albuquerque, NM: Hermosa Publications.

    Google Scholar 

  16. Chung, T. J. (2002). Computational fluid dynamics (1034 pp.).

    Google Scholar 

  17. Girardin, M., Bilgen, E., & Arbour, P. (1983). Experimental study of velocity fields in a human nasal fossa by laser anemometry. Annals of Otology, Rhinology, and Laryngology, 92, 231–236.

    Article  Google Scholar 

  18. Issakhov, A. (2015). Mathematical modeling of the discharged heat water effect on the aquatic environment from thermal power plant. International Journal of Nonlinear Science and Numerical Simulation, 16(5), 229–238. https://doi.org/10.1515/ijnsns-2015-0047.

  19. Chorin, A. J. (1968). Numerical solution of the Navier-Stokes equations. Mathematics of Computation, 22, 745–762.

    Article  MathSciNet  MATH  Google Scholar 

  20. Pletcher, R. H., Tannehill, J. C.,  & Anderson, D. (2011). Computational fluid mechanics and heat transfer (3rd ed.). Series in Computational and Physical Processes in Mechanics and Thermal Sciences (774 pp.). CRC Press.

    Google Scholar 

  21. Ferziger, J. H.,  & Peric, M. (2013). Computational methods for fluid dynamics (3rd ed., 426 pp.). Springer.

    Google Scholar 

  22. Karniadakis, G. E.,  & Kirby II, R. M. (2000). Parallel scientific computing in C++ and MPI: A seamless approach to parallel algorithms and their implementation (p. 630). Cambridge University Press.

    Google Scholar 

  23. Pacheco, P. (1996). Parallel programming with MPI (p. 500). Morgan Kaufmann.

    Google Scholar 

  24. Issakhov, A. (2013). Mathematical modelling of the influence of thermal power plant on the aquatic environment with different meteorological condition by using parallel technologies. In Power, control and optimization. Lecture Notes Electrical Engineering (Vol. 239, pp. 165–179).

    Google Scholar 

  25. Issakhov, A. (2012). Mathematical modelling of the influence of thermal power plant to the aquatic environment by using parallel technologies. AIP Conf. Proc. 1499, 15–18. http://dx.doi.org/10.1063/1.4768963.

  26. Issakhov, A. (2016). Mathematical modelling of the thermal process in the aquatic environment with considering the hydrometeorological condition at the reservoir-cooler by using parallel technologies. In Sustaining power resources through energy optimization and engineering, Chapter 10 (pp. 227–243). https://doi.org/10.4018/978-1-4666-9755-3.ch010.

  27. Issakhov, A. (2014). Modeling of synthetic turbulence generation in boundary layer by using zonal RANS/LES method. International Journal of Nonlinear Sciences and Numerical Simulation, 15(2), 115–120.

    Google Scholar 

  28. Issakhov, A. (2016). Numerical modelling of distribution the discharged heat water from thermal power plant on the aquatic environment. AIP Conference Proceedings, 1738, 480025. https://doi.org/10.1063/1.4952261.

  29. Issakhov, A. (2017). Numerical modelling of the thermal effects on the aquatic environment from the thermal power plant by using two water discharge pipes. AIP Conference Proceedings, 1863, 560050. https://doi.org/10.1063/1.4992733.

  30. Issakhov, A. (2015). Numerical modeling of the effect of discharged hot water on the aquatic environment from a thermal power plant. International Journal of Energy for a Clean Environment, 16(1–4), 23–28. https://doi.org/10.1615/InterJEnerCleanEnv.2016015438.

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Acknowledgements

This work is supported by the grant from the Ministry of education and science of the Republic of Kazakhstan.

The authors wish to thank anonymous referees for their helpful and constructive comments on earlier versions of this paper. And would like to present our sincere thanks to the Editor in Chief and First EAI International Conference on Computer Science and Engineering (COMPSE 2016) to publish this paper.

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Correspondence to Alibek Issakhov .

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Issakhov, A., Abylkassymova, A. (2018). Application of Parallel Computing Technologies for Numerical Simulation of Air Transport in the Human Nasal Cavity. In: Zelinka, I., Vasant, P., Duy, V., Dao, T. (eds) Innovative Computing, Optimization and Its Applications. Studies in Computational Intelligence, vol 741. Springer, Cham. https://doi.org/10.1007/978-3-319-66984-7_8

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  • DOI: https://doi.org/10.1007/978-3-319-66984-7_8

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