An Adaptive Moment Inversion Algorithm for the Quadrature Methods of Moments in Particle Transport Modelling

Artur Gilfanov; Timur Zaripov; Oyuna Rybdylova; Sergei Sazhin

doi:10.1134/S1995080222110099

An Adaptive Moment Inversion Algorithm for the Quadrature Methods of Moments in Particle Transport Modelling

Artur Gilfanov, Timur Zaripov, Oyuna Rybdylova, Sergei Sazhin

Research output: Contribution to journal › Article › peer-review

Abstract

A modified version of the adaptive moment inversion algorithm is suggested for the quadrature method of moments and conditional quadrature method of moments (QMOM, CQMOM), based on a new criterion for selection of the number of nodes in the quadrature approximation of the particle velocity distribution function (VDF) for the solution of the moment advection equations. In contrast to the conventional QMOM and CQMOM, the new approach guarantees that unphysical values of particle velocities are not predicted. It is shown that the number of nodes in the approximation of the VDF should be sufficiently high to predict physically meaningful results when modelling intersections of particle clouds.

Original language	English
Pages (from-to)	2107-2117
Number of pages	10
Journal	Lobachevskii Journal of Mathematics
Volume	43
Issue number	8
DOIs	https://doi.org/10.1134/S1995080222110099
Publication status	Published - 24 Nov 2022

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title = "An Adaptive Moment Inversion Algorithm for the Quadrature Methods of Moments in Particle Transport Modelling",

abstract = "A modified version of the adaptive moment inversion algorithm is suggested for the quadrature method of moments and conditional quadrature method of moments (QMOM, CQMOM), based on a new criterion for selection of the number of nodes in the quadrature approximation of the particle velocity distribution function (VDF) for the solution of the moment advection equations. In contrast to the conventional QMOM and CQMOM, the new approach guarantees that unphysical values of particle velocities are not predicted. It is shown that the number of nodes in the approximation of the VDF should be sufficiently high to predict physically meaningful results when modelling intersections of particle clouds.",

author = "Artur Gilfanov and Timur Zaripov and Oyuna Rybdylova and Sergei Sazhin",

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AU - Gilfanov, Artur

AU - Zaripov, Timur

AU - Rybdylova, Oyuna

AU - Sazhin, Sergei

PY - 2022/11/24

Y1 - 2022/11/24

N2 - A modified version of the adaptive moment inversion algorithm is suggested for the quadrature method of moments and conditional quadrature method of moments (QMOM, CQMOM), based on a new criterion for selection of the number of nodes in the quadrature approximation of the particle velocity distribution function (VDF) for the solution of the moment advection equations. In contrast to the conventional QMOM and CQMOM, the new approach guarantees that unphysical values of particle velocities are not predicted. It is shown that the number of nodes in the approximation of the VDF should be sufficiently high to predict physically meaningful results when modelling intersections of particle clouds.

AB - A modified version of the adaptive moment inversion algorithm is suggested for the quadrature method of moments and conditional quadrature method of moments (QMOM, CQMOM), based on a new criterion for selection of the number of nodes in the quadrature approximation of the particle velocity distribution function (VDF) for the solution of the moment advection equations. In contrast to the conventional QMOM and CQMOM, the new approach guarantees that unphysical values of particle velocities are not predicted. It is shown that the number of nodes in the approximation of the VDF should be sufficiently high to predict physically meaningful results when modelling intersections of particle clouds.

U2 - 10.1134/S1995080222110099

DO - 10.1134/S1995080222110099

M3 - Article

VL - 43

SP - 2107

EP - 2117

IS - 8

ER -

An Adaptive Moment Inversion Algorithm for the Quadrature Methods of Moments in Particle Transport Modelling

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