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Gilfanov, A. K.; Zaripov, T. S.; Sazhin, S. S.; Rybdylova, O.

An adaptive moment inversion algorithm for the quadrature methods of moments in particle transport modelling. (English) Zbl 1514.65117

Lobachevskii J. Math. 43, No. 8, 2107-2117 (2022).
The authors propose a modified version of the adaptive moment inversion algorithm for the solution of the moment advection equations in particle transport modelling. The key challenge of the quadrature method of moments is the calculation of weights and abscissas reconstruction of the number density function (NDF). Here, the authors suggest a new criterion for switching between quadrature approximations with different number of nodes that guarantees that particle velocities are bounded by physically meaningful limits. The efficiency of the new criterion is illustrated for a one-dimensional problem.
Reviewer: Murli Gupta (Washington, D.C.)

Cited in 2 Documents

MSC:

65M32 Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs
76T15 Dusty-gas two-phase flows
76M28 Particle methods and lattice-gas methods
82C40 Kinetic theory of gases in time-dependent statistical mechanics
35Q20 Boltzmann equations

Keywords:

dilute gas-particle flow; inertial particles; particle trajectory crossings; conditional quadrature method of moments

Software:

CHyQMOM
Cite Review PDF
Full Text: DOI

References:

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