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A unified framework for incompressible and compressible fluid flows

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Abstract

A unified algorithmic framework to predict numerical solutions for flows that range from incompressible, weakly compressible to highly compressible is outlined along with a parallel multi-physics zone method. This computational method is designed for the simulation of general fluids with arbitrary equations of state and multiple component and multiple phases. The capabilities of the approach are demonstrated by a cavitating hydrofoil solution, the flow through converging-diverging nozzle with a back-step in the throat and a free-surface problem. The results show a variety of interesting physical phenomena that are introduced by the unique fluid physics. Due to the page limit, only the first case is briefed here.

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References

  1. D., Li, and C. L., Merkle, etc. “Convergence Assessment of General Fluid Equation on Unstructured Hybrid Grids,” AIAA-2001-2557, June 2001.

  2. D. Li and C. L. Merkle, “Analysis of Real Fluid Flows in Converging Diverging Nozzles,” AIAA-2003-4132, July 2003.

  3. D. Li, S. Venkateswaran, J., Lindau and C. L. Merkle, “A Unified Computational Formulation for Multi-Component and Multi-Phase Flows,” AIAA-2005-1391, Reno, NV, January 10-13, 2005.

  4. D. Li, G, Xia, and C. L., Merkle, Computational Framework for Complex Fluid Physics Applications, ICCFD2004, Canada 2004

  5. Wilcox, D. C., “Turbulence Modeling for CFD,” DCW Industries, Inc., ISBN 0-9636051-5-1, 1998.

  6. S. Venkateswaran, D. Li and C. L. Merkle, “Influence of Stagnation Regions on Preconditioned Solutions at Low Speeds,” AIAA-2003-0435, 2003.

  7. Merkle, C. L., Feng, J. Z., and Buelow, P. E. O., “Computational Modeling of the Dynamics of Sheet Cavitation,” Third International Symposium on Cavitation, Grenoble, France, April 7–10, 1998.

  8. D. Li, D. Keefer, R. Rhodes, C. L. Merkle, K. Kolokolnikov and R. Thibodeaux, “Analysis of MHD Generator Power Generation,” AIAA-2003-5050, July 2003.

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Authors and Affiliations

  1. School of Mechanical Engineering, Purdue University, West Lafayette, Indiana, 47907-2014, USA

    Ding Li & Charles L. Merkle

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  1. Ding Li
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  2. Charles L. Merkle
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Correspondence to Ding Li.

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Li, D., Merkle, C.L. A unified framework for incompressible and compressible fluid flows. J Hydrodyn 18 (Suppl 1), 111–117 (2006). https://doi.org/10.1007/BF03400433

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  • DOI: https://doi.org/10.1007/BF03400433

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