TWO-DIMENSIONAL TWO-FLUID TWO-PHASE FLOW SIMULATION USING AN APPROXIMATE JACOBIAN MATRIX FOR HLL SCHEME

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In this article, a numerical method to solve the two-set, eight-equation, compressible, two-fluid, two-phase flow model is developed in two dimensions as an extension of the earlier one-dimensional version. The multidimensional two-fluid model can be effectively solved by a finite-volume method in a rotated reference frame. In order to estimate the fastest wave speeds in the hyperbolic equation system for the Harten-Lax-van Leer (HLL) scheme, we first regard the liquid phase as compressible by taking the stiffened-gas equation of state. Then we derive the two-dimensional approximate Jacobian matrix and obtain the associated eight analytic eigenvalues. Using the HLL scheme, we solve a few two-phase flow problems including shape cavitation and underwater explosion, demonstrating application of the present numerical method to meaningful problems.
Publisher
Taylor & Francis Inc
Issue Date
2009
Language
English
Article Type
Article
Keywords

NUMERICAL-SIMULATION; MODEL; INTERFACES; STABILITY

Citation

NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS, v.56, no.5, pp.372 - 392

ISSN
1040-7790
DOI
10.1080/10407790903507998
URI
http://hdl.handle.net/10203/94121
Appears in Collection
AE-Journal Papers(저널논문)
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