The effect of virtual mass on the characteristics and the numerical stability in two-phase flow
Name
EL_TR_1981_023.pdf
Size
1.24 MB
Format
Adobe PDF
Checksum (MD5)
d64ffcae6af01fd37c8dc110ca952d96
Author(s)
No, H. C.
Kazimi, Mujid S.
Date Issued
1981
Publisher
[Cambridge, Mass.] : Massachusetts Institute of Technology, Energy Laboratory, 1981
Series/Report no.
Energy Laboratory report (Massachusetts Institute of Technology. Energy Laboratory) no. MIT-EL 81-023.
Abstract
It is known that the typical six equation two-fluid model of the two-phase flow possesses complex characteristics, exhibits unbounded instabilities in the short-wavelength limit and constitutes an ill-posed initial value problem. Among the suggestions to overcome these difficulties, one model for the virtual mass force terms was studied here, because the virtual mass represents real physical effects to accomplish the dissipation for numerical stability. It was found that the virtual mass has a profound effect upon the mathematical characteristic and numerical stability. Here a quantitative bound on the coefficient of the virtual mass terms was suggested for mathematical hyperbolicity and numerical stability. It was concluded that the finite difference scheme with the virtual mass model is restricted only by the convective stability conditions with the above suggested value.
Subjects
Two-phase flow
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