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Efficient and Precise Representation of Pure Fluid Phase Equilibria with Chebyshev Expansions

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Abstract

In this work, it is shown that Chebyshev expansions can be used to provide a representation of pure fluid phase equilibria models that is approximately 400 times faster to evaluate than the full phase equilibrium calculation with multiparameter equations of state. The use of extended precision for the phase equilibrium calculation allows for the construction of a numerical representation approaching the numerical precision of double-precision arithmetic.

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References

  1. R. Akasaka, J. Thermal Sci. Technol. 3, 442 (2008). https://doi.org/10.1299/jtst.3.442

    Article  ADS  Google Scholar 

  2. H.J. Kretzschmar, T. Zschunke, J. Klinger, A. Dittman, in Properties Of Water And Steam: Proceedings Of The 11th International Conference (1990)

  3. V. Aute, R. Radermacher, in 15th International Refrigeration and Air Conditioning Conference at Purdue, July 14-17, 2014, p. 2462 (2014)

  4. M. Kunick, H.J. Kretzschmar, F. di Mare, U. Gampe, in Volume 8: Microturbines, Turbochargers and Small Turbomachines; Steam Turbines (American Society of Mechanical Engineers, 2015). https://doi.org/10.1115/gt2015-43984

  5. M. Kunick, Fast Calculation of Thermophysical Properties in Extensive Process Simulations with the Spline-Based Table Look-Up Method (SBTL). PhD thesis, Technische Universität Dresden (2017). ISBN: 978-3-18-361806-4

  6. K. Miyagawa, P.G. Hill, J. Eng. Gas Turbines Power 123, 707 (2001). https://doi.org/10.1115/1.1367340

    Article  Google Scholar 

  7. I.H. Bell, J. Wronski, S. Quoilin, V. Lemort, Ind. Eng. Chem. Res. 53(6), 2498 (2014). https://doi.org/10.1021/ie4033999

    Article  Google Scholar 

  8. E.W. Lemmon, I.H. Bell, M.L. Huber, M.O. McLinden, NIST Standard Reference Database 23: Reference Fluid Thermodynamic and Transport Properties-REFPROP, Version 10.0, National Institute of Standards and Technology. http://www.nist.gov/srd/nist23.cfm (2018)

  9. E.W. Lemmon, M.O. McLinden, W. Wagner, J. Chem. Eng. Data 54, 3141 (2009). https://doi.org/10.1021/je900217v

    Article  Google Scholar 

  10. I. Bell, J. Open Source Soft. 4(36), 1147 (2019)

    Article  ADS  Google Scholar 

  11. U.K. Deiters, R. Macías-Salinas, Ind. Eng. Chem. Res. 53(6), 2529 (2014). https://doi.org/10.1021/ie4038664

    Article  Google Scholar 

  12. R. Feistel, D.G. Wright, K. Miyagawa, A.H. Harvey, J. Hruby, D.R. Jackett, T.J. McDougall, W. Wagner, Ocean Sci. 4(4), 275 (2008). https://doi.org/10.5194/os-4-275-2008

    Article  ADS  Google Scholar 

  13. I.H. Bell, B.K. Alpert, Fluid Phase Equilib. 476B, 89 (2018). https://doi.org/10.1016/j.fluid.2018.04.026

    Article  Google Scholar 

  14. J.P. Boyd, SIAM Rev. 55(2), 375 (2013). https://doi.org/10.1137/110838297

    Article  MathSciNet  Google Scholar 

  15. L.N. Trefethen, Approximation Theory and Approximation Practice, Extended. (SIAM, Philadelphia, 2020).

    MATH  Google Scholar 

  16. I.H. Bell, B.K. Alpert, L. Bouck, J. Open Source Soft. 3(22), 569 (2018)

    Article  ADS  Google Scholar 

  17. numpy, Numpy implementation of chebyshev expansion (2020). https://numpy.org/doc/stable/reference/routines.polynomials.chebyshev.html

  18. T.A. Driscoll, N. Hale, L.N. Trefethen, Chebfun Guide (Pafnuty Publications, Oxford, 2014).

    Google Scholar 

  19. B.K. Alpert, V. Rokhlin, SIAM J. Sci. Stat. Comput. 12(1), 158 (1991). https://doi.org/10.1137/0912009

    Article  Google Scholar 

  20. S. Furuhashi. MessagePack: It’s like JSON. but fast and small. https://msgpack.org/. Accessed 18 Nov 2020.

  21. I.H. Bell, M. Satyro, E.W. Lemmon, J. Chem. Eng. Data 63(7), 2402 (2018). https://doi.org/10.1021/acs.jced.7b00967

    Article  Google Scholar 

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  1. National Institute of Standards and Technology, Boulder, CO, USA

    Ian H. Bell & Bradley K. Alpert

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  1. Ian H. Bell
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  2. Bradley K. Alpert
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Correspondence to Ian H. Bell.

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Bell, I.H., Alpert, B.K. Efficient and Precise Representation of Pure Fluid Phase Equilibria with Chebyshev Expansions. Int J Thermophys 42, 75 (2021). https://doi.org/10.1007/s10765-021-02824-x

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