{"title":"Simulation of Multiphase Flows Using a Modified Upwind-Splitting Scheme","authors":"David J. Robbins, R. Stewart Cant, Lynn F. Gladden","volume":68,"journal":"International Journal of Physical and Mathematical Sciences","pagesStart":1216,"pagesEnd":1223,"ISSN":"1307-6892","URL":"https:\/\/publications.waset.org\/pdf\/9729","abstract":"
A robust AUSM+ upwind discretisation scheme has been developed to simulate multiphase flow using consistent spatial discretisation schemes and a modified low-Mach number diffusion term. The impact of the selection of an interfacial pressure model has also been investigated. Three representative test cases have been simulated to evaluate the accuracy of the commonly-used stiffenedgas equation of state with respect to the IAPWS-IF97 equation of state for water. The algorithm demonstrates a combination of robustness and accuracy over a range of flow conditions, with the stiffened-gas equation tending to overestimate liquid temperature and density profiles.<\/p>\r\n","references":"[1] FLUENT Documentation for ANSYS 13, ANSYS, Inc.\r\n[2] S. Soo, \"On one-dimensional motion of a single component in twophases,\" International Journal of Multiphase Flow, vol. 3, pp. 79-82,1976.\r\n[3] C. Hirt and B. Nichols, \"Volume of Fluid (VOF) methood for the dynamics\r\nof free boundaries,\" Journal of Computational Physics, vol. 39,\r\npp. 201-225, 1975.\r\n[4] M. Ishii, Thermofluid dynamic theory of two-phase flow. Paris, France:\r\nEyrolles, 1975.\r\n[5] K. Shyue, \"A fluid-mixture type algorithm for barotropic two-fluid flow problems,\" Journal of Computational Physics, vol. 200, pp. 718-748,2004.\r\n[6] CFX solver theory guide for ANSYS 13, ANSYS, Inc.\r\n[7] C. Chang and M. Liou, \"A new approach to the simulation of compressible\r\nmultifluid flows with the ausm+ scheme,\" in 16th AIAA\r\nComputational Fluid Dynamics conference, Orlando, Florida, USA, June\r\n2003.\r\n[8] H. Paill`ere, C. Corre, and J. Garc'\u2500\u2592a Cascales, \"On the extension of the AUSM+ scheme to compressible two-fluid models,\" Computers &\r\nFluids, vol. 32, pp. 891-916, 2003.\r\n[9] C. Chang and M. Liou, \"A robust and accurate approach to computing\r\ncompressible multiphase flow: stratified flow model and AUSM+-up scheme,\" Journal of Computational Physics, vol. 225, pp. 840-873,2007.\r\n[10] M. Liou, C. Chang, L. Nguyen, and T. Theofanous, \"A robust and accurate approach to computing compressible multiphase flow: stratified\r\nflow model and AUSM+-up scheme,\" AIAA Journal, vol. 46, pp. 2345-2356, 2008.\r\n[11] Y. Niu, Y. Lin, and C. Chang, \"A further work on multi-phase two-fluid\r\napproach for compressible multi-phase flows,\" Numerical Methods in Fluids, vol. 58, pp. 879-896, 2008.\r\n[12] J. Stuhmiller, \"The influence of interfacial pressure forces on the character of two=phase flow model equations,\u201d International Journal\r\nof Multiphase Flow, vol. 3, pp. 551\u2013560, 1977.\r\n[13] A. Zanotti, C. M\u00b4endez, N. Nigro, and M. Storti, \u201cA preconditioning\r\nmass matrix to avoid the ill-poised two-fluid model,\u201d Transactions of\r\nthe ASME, vol. 74, pp. 732\u2013739, 2007.\r\n[14] M. Liou, \u201cA sequel to AUSM, part II: AUSM+-up for all speeds,\u201d\r\nJournal of Computational Physics, vol. 214, pp. 137\u2013170, 2005.\r\n[15] W. Wagner, J. Cooper, A. Dittmann, K. Kijima, H. Kretzschmar,\r\nA. Kruse, R. Mare\u02d8s, K. Oguchi, H. Sato, I. St\u00a8ocker, O. \u02d8 Sifner,\r\nY. Takaishi, I. Tanishita, J. Tr\u00a8ubenbach, and T. Willkommen, \u201cThe\r\nIAPWS industrial formulation 1997 for the thermodynamic properties\r\nof water and steam,\u201d Transactions of the ASME, vol. 122, pp. 150\u2013182,\r\n2000.\r\n[16] V. Ransom, \u201cNumerical benchmark tests,\u201d in Multiphase science and\r\ntechnology, G. Hewitt, J. Delhaye, and N. Zuber, Eds. Hemisphere\r\npublishing coporation, 1987, vol. 3.\r\n[17] I. Toumi, \u201cAn upwind numerical method for two-fluid two-phase models,\u201d\r\nNuclear Science & Engineering, vol. 123, pp. 147\u2013168, 1996.\r\n[18] R. Saurel and R. Abgrall, \u201cA multiphase Godunov method for compressible\r\nmultifuid and multiphase flows,\u201d Journal of Computational Physics,\r\nvol. 150, pp. 425\u2013467, 1999.\r\ncharacter of two=phase flow model equations,\" International Journal\r\nof Multiphase Flow, vol. 3, pp. 551-560, 1977.\r\n[13] A. Zanotti, C. M'endez, N. Nigro, and M. Storti, \"A preconditioning\r\nmass matrix to avoid the ill-poised two-fluid model,\" Transactions of\r\nthe ASME, vol. 74, pp. 732-739, 2007.","publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 68, 2012"}