A1 Journal article (refereed), original research

Nonrealizability Problem With Quadrature Method of Moments in Wet-Steam Flows and Solution Techniques


Publication Details
Authors: Afzalifar Ali, Turunen-Saaresti Teemu, Grönman Aki
Publisher: American Society of Mechanical Engineers (ASME)
Publication year: 2017
Language: English
Related Journal or Series Information: Journal of Engineering for Gas Turbines and Power
Volume number: 139
Issue number: 1
ISSN: 0742-4795
eISSN: 1528-8919
JUFO-Level of this publication: 1
Open Access: Not an Open Access publication

Abstract
The quadrature method of moments (QMOM) has recently attracted much attention inrepresenting the size distribution of liquid droplets in wet-steam flows using the n-pointGaussian quadrature. However, solving transport equations of moments using high-order advection schemes is bound to corrupt the moment set, which is then termed as a nonrealizable moment set. The problem is that the failure and success of the Gaussian quadrature are unconditionally dependent on the realizability of the moment set. First, this article explains the nonrealizability problem with the QMOM. Second, it compares two solutions to preserve realizability of the moment sets. The first solution applies a so-called "quasi-high-order" advection scheme specifically proposed for the QMOM to preserve realizability. However, owing to the fact that wet-steam models are usually built on existing numerical solvers, in many cases modifying the available advection schemes is either impossible or not desired. Therefore, the second solution considers correction techniques directly applied to the nonrealizable moment sets instead of the advection scheme. These solutions are compared in terms of accuracy in representing the droplet size distribution. It is observed that a quasi-high-order scheme can be reliably applied to guarantee realizability. However, as with all the numerical models in an Eulerian reference frame, in general, its results are also sensitive to the grid resolution. In contrast, the corrections applied to moments either fail in identifying and correcting the invalid moment sets or distort the shape of the droplet size distribution after the correction.

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Last updated on 2018-19-10 at 07:55