Moment closure—a brief review
C Kuehn - Control of self-organizing nonlinear systems, 2016 - Springer
Moment closure methods appear in myriad scientific disciplines in the modelling of complex
systems. The goal is to achieve a closed form of a large, usually even infinite, set of coupled …
systems. The goal is to achieve a closed form of a large, usually even infinite, set of coupled …
Three-dimensional general relativistic radiation magnetohydrodynamical simulation of super-Eddington accretion, using a new code harmrad with M1 closure
Black hole (BH) accretion flows and jets are dynamic hot relativistic magnetized plasma
flows whose radiative opacity can significantly affect flow structure and behaviour. We …
flows whose radiative opacity can significantly affect flow structure and behaviour. We …
Properties of neutrino-driven ejecta from the remnant of a binary neutron star merger: pure radiation hydrodynamics case
We performed general relativistic, long-term, axisymmetric neutrino radiation hydrodynamics
simulations for the remnant formed after a binary neutron star merger, which consists of a …
simulations for the remnant formed after a binary neutron star merger, which consists of a …
[图书][B] Active Particles, Volume 1: Advances in Theory, Models, and Applications
This volume collects ten surveys on the modeling, simulation, and applications of active
particles using methods ranging from mathematical kinetic theory to nonequilibrium …
particles using methods ranging from mathematical kinetic theory to nonequilibrium …
High-order entropy-based closures for linear transport in slab geometry II: A computational study of the optimization problem
GW Alldredge, CD Hauck, AL Tits - SIAM Journal on Scientific Computing, 2012 - SIAM
We present a numerical algorithm to implement entropy-based (M_N) moment models in the
context of a simple, linear kinetic equation for particles moving through a material slab. The …
context of a simple, linear kinetic equation for particles moving through a material slab. The …
[PDF][PDF] High-order entropy-based closures for linear transport in slab geometry
CD Hauck - Commun. Math. Sci, 2011 - math.umd.edu
We compute high-order entropy-based (MN) models for a linear transport equation on a one-
dimensional, slab geometry. We simulate two test problems from the literature: the twobeam …
dimensional, slab geometry. We simulate two test problems from the literature: the twobeam …
Positive Closures
We introduce a modification to the standard spherical harmonic closure used with linear
kinetic equations of particle transport. While the standard closure is known to produce …
kinetic equations of particle transport. While the standard closure is known to produce …
Unified gas-kinetic wave-particle methods III: Multiscale photon transport
In this paper, we extend the unified gas-kinetic wave-particle (UGKWP) method to multiscale
photon transport. In this method, the photon free streaming and scattering processes are …
photon transport. In this method, the photon free streaming and scattering processes are …
A realizability-preserving discontinuous Galerkin method for the M1 model of radiative transfer
The M1 model for radiative transfer coupled to a material energy equation in planar
geometry is studied in this paper. For this model to be well-posed, its moment variables must …
geometry is studied in this paper. For this model to be well-posed, its moment variables must …
Iterative and direct Chebyshev collocation spectral methods for one-dimensional radiative heat transfer
BW Li, YS Sun, Y Yu - International Journal of Heat and Mass Transfer, 2008 - Elsevier
In this paper, the Chebyshev collocation spectral method for one-dimensional radiative heat
transfer equation with participating media is presented; and sequentially the iterative and …
transfer equation with participating media is presented; and sequentially the iterative and …