This paper is concerned with numerical solutions of the two-fluid models of two-phase flow. The two-fluid modeling approach is based on the effective-field description of inter-penetrating continua and uses constitutive laws to account for the inter-field interactions. The effective-field balance equations are derived by a homogenization procedure and known to be non-hyperbolic. Despite their importance and widespread application, predictions by such models have been hampered by numerical pitfalls manifested in the formidable challenge to obtain convergent numerical solutions under computational grid refinement. At the root of the problem is the absence of hyperbolicity in the field equations and the resulting ill-posedness. The aim of the present work is to develop a high-order-accurate numerical scheme that is not subject to such limitations. The main idea is to separate conservative and non-conservative parts, by implementing the latter as part of the source term. The conservative part, being effectively hyperbolic, is treated by a characteristics-based method. The scheme performance is examined on a compressible-incompressible two-fluid model. Convergence of numerical solutions to the analytical one is demonstrated on a benchmark (water faucet) problem.
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ASME/JSME 2003 4th Joint Fluids Summer Engineering Conference
July 6–10, 2003
Honolulu, Hawaii, USA
Conference Sponsors:
- Fluids Engineering Division
ISBN:
0-7918-3696-7
PROCEEDINGS PAPER
A Characteristics-Based Approach to the Numerical Solution of the Two-Fluid Model
Robert Nourgaliev,
Robert Nourgaliev
University of California at Santa Barbara, Goleta, CA
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Nam Dinh,
Nam Dinh
University of California at Santa Barbara, Goleta, CA
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Theo Theofanous
Theo Theofanous
University of California at Santa Barbara, Goleta, CA
Search for other works by this author on:
Robert Nourgaliev
University of California at Santa Barbara, Goleta, CA
Nam Dinh
University of California at Santa Barbara, Goleta, CA
Theo Theofanous
University of California at Santa Barbara, Goleta, CA
Paper No:
FEDSM2003-45551, pp. 1729-1748; 20 pages
Published Online:
February 4, 2009
Citation
Nourgaliev, R, Dinh, N, & Theofanous, T. "A Characteristics-Based Approach to the Numerical Solution of the Two-Fluid Model." Proceedings of the ASME/JSME 2003 4th Joint Fluids Summer Engineering Conference. Volume 1: Fora, Parts A, B, C, and D. Honolulu, Hawaii, USA. July 6–10, 2003. pp. 1729-1748. ASME. https://doi.org/10.1115/FEDSM2003-45551
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