An investigation of the numerical treatment of condensation

The simulation of complete condensation continues to challenge the numerical methods currently used for multi-phase flow modeling; especially at low pressures, the change of phase process from a two-phase mixture to liquid leads to severe pressure field perturbations and often failure of the calcula...

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Main Authors: Sasson, Joseph, Schor, Andrei L.
Published: Cambridge, Mass. : Massachusetts Institute of Technology, Energy Laboratory and Department of Nuclear Engineering, 1984 [i.e. 1985] 2011
Online Access:http://hdl.handle.net/1721.1/60636
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author Sasson, Joseph
Schor, Andrei L.
author_facet Sasson, Joseph
Schor, Andrei L.
author_sort Sasson, Joseph
collection MIT
description The simulation of complete condensation continues to challenge the numerical methods currently used for multi-phase flow modeling; especially at low pressures, the change of phase process from a two-phase mixture to liquid leads to severe pressure field perturbations and often failure of the calculations. During condensation, the local void fraction and pressure decrease rapidly; at the time of complete condensation, the strong nonlinearities of the equations at the phase-change point lead to convergence difficulties and/or unacceptably large mass or energy errors.
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publisher Cambridge, Mass. : Massachusetts Institute of Technology, Energy Laboratory and Department of Nuclear Engineering, 1984 [i.e. 1985]
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spelling mit-1721.1/606362019-04-12T11:48:14Z An investigation of the numerical treatment of condensation The numerical treatment of condensation. Sasson, Joseph Schor, Andrei L. The simulation of complete condensation continues to challenge the numerical methods currently used for multi-phase flow modeling; especially at low pressures, the change of phase process from a two-phase mixture to liquid leads to severe pressure field perturbations and often failure of the calculations. During condensation, the local void fraction and pressure decrease rapidly; at the time of complete condensation, the strong nonlinearities of the equations at the phase-change point lead to convergence difficulties and/or unacceptably large mass or energy errors. Various ad-hoc "fixes" for this phenomenon - often referred to as "water packing" - have been proposed and/or implemented over the last few years. However, they have failed to clarify the core of the problem and are still unsatisfactory. Indeed these solutions cast doubt on the numerical predictions and occasionally are unable to prevent the breakdown of the calculations. The present investigations have focused on the roots of these difficulties, particularly on the nonlinear effects involved. A time-step control strategy was developed which removes or at least, greatly mitigates the aforementioned computational problems. Numerical experiments as well as a mathematical analysis have both demonstrated the existence of a critical time-step size beyond which larger time-steps shall accommodate the liquid flow field to any perturbations; smaller time-steps shall cause the pressure to bounce, going out of range as it is indeed witnessed for condensation simulations where the time-steps are drastically reduced when the two phases are still coexisting. Similar studies have been conduced on variety of numerical methods yielding some unexpected results in terms of time-step limit. Sponsored by Northeast Utilities Co., Foxboro Co. 2011-01-14T23:29:10Z 2011-01-14T23:29:10Z 1984 ie 1985 http://hdl.handle.net/1721.1/60636 12876990 Energy Laboratory report (Massachusetts Institute of Technology. Energy Laboratory) no. MIT-EL 85-010. 116, [49] p application/pdf Cambridge, Mass. : Massachusetts Institute of Technology, Energy Laboratory and Department of Nuclear Engineering, 1984 [i.e. 1985]
spellingShingle Sasson, Joseph
Schor, Andrei L.
An investigation of the numerical treatment of condensation
title An investigation of the numerical treatment of condensation
title_full An investigation of the numerical treatment of condensation
title_fullStr An investigation of the numerical treatment of condensation
title_full_unstemmed An investigation of the numerical treatment of condensation
title_short An investigation of the numerical treatment of condensation
title_sort investigation of the numerical treatment of condensation
url http://hdl.handle.net/1721.1/60636
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