A volume-fraction based algorithm for hybrid barotropic and non-barotropic two-fluid flow problems
Date Issued
2004-12-31
Date
2004-12-31
Author(s)
DOI
922115M002018
Abstract
The aim of this paper is to describe a simple Eulerian interface-capturing approach for the efficient
numerical resolution of a hybrid barotropic and non-barotropic two-fluid flow problem in more than
one space dimension. We use the compressible Euler equations as a model system with the thermodynamic
property of each of the barotropic and non-barotropic fluid components characterized by the Tait and
Noble-Abel equations of state, respectively. The algorithm is based on a volume fraction formulation of the
equations together with an extended equation of state that is devised to give an approximate treatment for
the mixture of more than one fluid component within a grid cell. A standard high-resolution wave propagation
method is employed to solve the proposed two-fluid model with the dimensional-splitting technique
incorporated in the method for multidimensional problems. Several numerical results are presented in one
and two space dimensions that show the feasibility of the algorithm as applied to a reasonable class of
practical problems without the occurrence of any spurious oscillation in the pressure near the smeared
material interfaces. This includes, in particular, solutions for a study on the variation of the jet velocity
with the incident shock pressure arising from the collapse of an air cavity in water under a shock wave.
Subjects
Volume-fraction based algorithm
Tait equation of state
Noble-Abel equation of state
Gascavity
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Jetting
Publisher
Department of Mathematics, National Taiwan University, Taipei 106, Taiwan, Republic of China
Type
report
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