Volume 2, Issue 2
A Numerical Study of Two-Fluid Models with Pressure and Velocity Relaxation

Svend Tollak Munkejord

Adv. Appl. Math. Mech., 2 (2010), pp. 131-159.

Published online: 2010-02

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  • Abstract

This paper presents a study of pressure and velocity relaxation in two-phase flow calculations. Several of the present observations have been made elsewhere, and the purpose of the paper is to strengthen these observations and draw some conclusions. It is numerically demonstrated how a single-pressure two-fluid model is recovered when applying instantaneous pressure relaxation to a two-pressure two-fluid model. Further, instantaneous velocity relaxation yields a drift-flux model. It is also shown that the pressure relaxation has the disadvantage of inducing a large amount of numerical smearing. The comparisons have been conducted by using nalogous numerical schemes, and a multi-stage centred (MUSTA) scheme for non-conservative two-fluid models has been applied to and tested on the two-pressure two-fluid model. As for other, previously tested two-phase flow models, the MUSTA schemes have been found to be robust, accurate and non-oscillatory. However, compared to their Roe reference schemes, they consistently have a lower computational efficiency for problems involving mass transport.

  • Keywords

Two-phase flow two-fluid model MUSTA scheme pressure relaxation velocity relaxation

  • AMS Subject Headings

76T10 76M12 65M12 35L65.

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COPYRIGHT: © Global Science Press

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@Article{AAMM-2-131, author = {Svend Tollak Munkejord}, title = {A Numerical Study of Two-Fluid Models with Pressure and Velocity Relaxation}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2010}, volume = {2}, number = {2}, pages = {131--159}, abstract = {

This paper presents a study of pressure and velocity relaxation in two-phase flow calculations. Several of the present observations have been made elsewhere, and the purpose of the paper is to strengthen these observations and draw some conclusions. It is numerically demonstrated how a single-pressure two-fluid model is recovered when applying instantaneous pressure relaxation to a two-pressure two-fluid model. Further, instantaneous velocity relaxation yields a drift-flux model. It is also shown that the pressure relaxation has the disadvantage of inducing a large amount of numerical smearing. The comparisons have been conducted by using nalogous numerical schemes, and a multi-stage centred (MUSTA) scheme for non-conservative two-fluid models has been applied to and tested on the two-pressure two-fluid model. As for other, previously tested two-phase flow models, the MUSTA schemes have been found to be robust, accurate and non-oscillatory. However, compared to their Roe reference schemes, they consistently have a lower computational efficiency for problems involving mass transport.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.09-m0971}, url = {http://global-sci.org/intro/article_detail/aamm/8324.html} }
TY - JOUR T1 - A Numerical Study of Two-Fluid Models with Pressure and Velocity Relaxation AU - Svend Tollak Munkejord JO - Advances in Applied Mathematics and Mechanics VL - 2 SP - 131 EP - 159 PY - 2010 DA - 2010/02 SN - 2 DO - http://doi.org/10.4208/aamm.09-m0971 UR - https://global-sci.org/intro/article_detail/aamm/8324.html KW - Two-phase flow KW - two-fluid model KW - MUSTA scheme KW - pressure relaxation KW - velocity relaxation AB -

This paper presents a study of pressure and velocity relaxation in two-phase flow calculations. Several of the present observations have been made elsewhere, and the purpose of the paper is to strengthen these observations and draw some conclusions. It is numerically demonstrated how a single-pressure two-fluid model is recovered when applying instantaneous pressure relaxation to a two-pressure two-fluid model. Further, instantaneous velocity relaxation yields a drift-flux model. It is also shown that the pressure relaxation has the disadvantage of inducing a large amount of numerical smearing. The comparisons have been conducted by using nalogous numerical schemes, and a multi-stage centred (MUSTA) scheme for non-conservative two-fluid models has been applied to and tested on the two-pressure two-fluid model. As for other, previously tested two-phase flow models, the MUSTA schemes have been found to be robust, accurate and non-oscillatory. However, compared to their Roe reference schemes, they consistently have a lower computational efficiency for problems involving mass transport.

Svend Tollak Munkejord. (1970). A Numerical Study of Two-Fluid Models with Pressure and Velocity Relaxation. Advances in Applied Mathematics and Mechanics. 2 (2). 131-159. doi:10.4208/aamm.09-m0971
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