2007
DOI: 10.1093/imamat/hxm066
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Analysis of a 1D incompressible two-fluid model including artificial diffusion

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Cited by 27 publications
(33 citation statements)
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“…In this paper, we use a simplified version of the one-dimensional two-fluid model [23,32] for the derivation of the model. Similarly, in [33] and, more recently, in [34,35] and in [36], an analogous formulation of the two-equation two-fluid model is considered, which reduces the model from four to two equations.…”
Section: The Modelmentioning
confidence: 99%
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“…In this paper, we use a simplified version of the one-dimensional two-fluid model [23,32] for the derivation of the model. Similarly, in [33] and, more recently, in [34,35] and in [36], an analogous formulation of the two-equation two-fluid model is considered, which reduces the model from four to two equations.…”
Section: The Modelmentioning
confidence: 99%
“…A numerical regularization is embodied within the model introducing a second-order tensor diffusion (i.e., artificial viscosity) in the mass and in the combined momentum equations-Equations (1) and (2)-to neutralize the short wavelengths that are not correctly described by the two-fluid model [23]. Even if the addition of artificial viscosity in both the mass and momentum equation may be physically questionable, it represents an acceptable compromise for engineering applications [37].…”
Section: The Modelmentioning
confidence: 99%
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