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

Gilfanov, A. K.; Zaripov, Timur; Sazhin, Sergei; Rybdylova, Oyuna

doi:10.1134/s1995080222110099

Cited by 2 publications

(4 citation statements)

References 21 publications

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“…The number of moments in ( 5) is inferred from the number of quadrature points in each direction: N 1 and N 2 . As in [15] three cases are considered:…”

Section: Methods Of Momentsmentioning

confidence: 99%

“…To solve system of Eqs. (5) the previously proposed computational scheme is used [15]. This scheme applies the moment inversion algorithm with controlling boundedness of abscissas in the VDF representation (6).…”

Section: Methods Of Momentsmentioning

confidence: 99%

“…The conditional quadrature method of moments (CQMOM) was proposed in [27] to describe the dynamic of a multivariate NDF using arbitrary numbers of quadrature nodes. Gilfanov et al [15] modified the moment inversion algorithm on the QMOM and CQMOM in order to guarantee bounded particle velocities in the VDF representation that increased stability of the method.…”

Section: Introductionmentioning

confidence: 99%

“…In this work we compare predictions of previously proposed modification of CQMOM [15] with those of the traditional Lagrangian (box counting) and fully Lagrangian approaches for the analysis of particle number densities in hyperbolic and Lamb vortex flows (two-dimensional fluid flow fields with possible PTC). The adequacy of the PTC representation produced by the CQMOM with different numbers of quadrature nodes in the NDF approximation is assessed.…”

Section: Introductionmentioning

confidence: 99%

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The Analysis of Particle Number Densities in Dilute Gas-Particle Flows: The Eulerian and Lagrangian Methods

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et al. 2022

Lobachevskii J Math

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The predictions of the conditional quadrature methods of moments, conventional Lagrangian, and fully Lagrangian (FLA) approaches to the calculation of particle number densities in hyperbolic and Lamb vortex flows are compared. All these methods predict similar distributions of particle number densities at low Stokes numbers. For single-fold particle trajectory crossings (PTC) at high Stokes numbers in the hyperbolic flow, the two-point quadrature approximation is shown to be in good agreement with both Lagrangian approaches, while the three-point approximation of the VDF leads to worse prediction than the two-point approximation. Thus, the number of nodes in the approximation has to be chosen based on the characteristics of the flow. The predictions of the FLA are shown to agree with those of the conventional Lagrangian approach when sufficiently large numbers of particles are used in calculations. The FLA is shown to be the most CPU efficient method among those considered in our analysis.

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“…The number of moments in ( 5) is inferred from the number of quadrature points in each direction: N 1 and N 2 . As in [15] three cases are considered:…”

Section: Methods Of Momentsmentioning

confidence: 99%

Section: Methods Of Momentsmentioning

confidence: 99%