TY - JOUR
T1 - An Adaptive Moment Inversion Algorithm for the Quadrature Methods of Moments in Particle Transport Modelling
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
SN - 1995-0802
VL - 43
SP - 2107
EP - 2117
JO - Lobachevskii Journal of Mathematics
JF - Lobachevskii Journal of Mathematics
IS - 8
ER -