Lattice Boltzmann method for simulation of time-dependent neutral particle transport

[1]  S. Succi The Lattice Boltzmann Equation , 2018, Oxford Scholarship Online.

[2]  Christopher C. Pain,et al.  Goal-based angular adaptivity applied to a wavelet-based discretisation of the neutral particle transport equation , 2015, J. Comput. Phys..

[3]  R. Furfaro,et al.  A hybrid method for the solution of linear Boltzmann equation , 2014 .

[4]  Gumersindo Verdú,et al.  Solution of the Lambda modes problem of a nuclear power reactor using an h–p finite element method , 2014 .

[5]  R. P. Smedley-Stevenson,et al.  Goal-based angular adaptivity applied to the spherical harmonics discretisation of the neutral particle transport equation , 2014 .

[6]  R. Furfaro,et al.  Hybrid-transport point kinetics for initially-critical multiplying systems , 2014 .

[7]  William A. Wieselquist,et al.  A cell-local finite difference discretization of the low-order quasidiffusion equations for neutral particle transport on unstructured quadrilateral meshes , 2014, J. Comput. Phys..

[8]  James Tickner,et al.  Arbitrary perturbations in Monte Carlo neutral-particle transport , 2014, Comput. Phys. Commun..

[9]  Benoit Forget,et al.  The OpenMOC method of characteristics neutral particle transport code , 2014 .

[10]  H. Tan,et al.  The lattice Boltzmann method for one-dimensional transient radiative transfer in graded index gray medium , 2014 .

[11]  Benoit Forget,et al.  2D full-core Monte Carlo pin-by-pin burnup calculations with the RMC code , 2014 .

[12]  Dmitri Priimak,et al.  Finite difference numerical method for the superlattice Boltzmann transport equation and case comparison of CPU(C) and GPU(CUDA) implementations , 2014, J. Comput. Phys..

[13]  Jingwei Hu,et al.  An asymptotic-preserving scheme for the semiconductor Boltzmann equation toward the energy-transport limit , 2013, J. Comput. Phys..

[14]  Gilberto Orengo,et al.  A model of the 14 MeV neutrons source term, for numerical solution of the transport equation to be used in BNCT simulation , 2012 .

[15]  B. Ganapol,et al.  A hybrid transport point-kinetic method for simulating source transients in subcritical systems , 2011 .

[16]  Kamal Hadad,et al.  Cellular neural network to the spherical harmonics approximation of neutron transport equation in x–y geometry. Part I: Modeling and verification for time-independent solution , 2011 .

[17]  Liangzhi Cao,et al.  A new three-dimensional method of characteristics for the neutron transport calculation , 2011 .

[18]  Hongchun Wu,et al.  An improved three-dimensional wavelet-based method for solving the first-order Boltzmann transport equation , 2009 .

[19]  M. M. Selim,et al.  Solution of the stochastic transport equation of neutral particles with anisotropic scattering using RVT technique , 2009, Appl. Math. Comput..

[20]  I. Karlin,et al.  Lattices for the lattice Boltzmann method. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

[21]  A. Trabelsi,et al.  Method for converting in-situ gamma ray spectra of a portable Ge detector to an incident photon flux energy distribution based on Monte Carlo simulation , 2008 .

[22]  Kun Yue,et al.  M-C simulation of shielding effects of PE, LiH and graphite fibers under 1 MeV electrons and 20 MeV protons , 2008 .

[23]  Q. Ma,et al.  Numerical simulation of high-energy neutron radiation effect of scintillation fiber , 2008 .

[24]  C. Pain,et al.  Chebyshev spectral hexahedral wavelets on the sphere for angular discretisations of the Boltzmann transport equation , 2008 .

[25]  S. Iqbal,et al.  A spatially adaptive grid-refinement approach for the finite element solution of the even-parity Boltzmann transport equation , 2007 .

[26]  Wenyun Luo,et al.  Energy loss caused by shielding effect of steel cage outside source tube , 2007 .

[27]  Subhash C. Mishra,et al.  Solving transient conduction and radiation heat transfer problems using the lattice Boltzmann method and the finite volume method , 2007, J. Comput. Phys..

[28]  Suizheng Qiu,et al.  The development and verification of thermal-hydraulic code on passive residual heat removal system of Chinese advanced PWR , 2006 .

[29]  Subhash C. Mishra,et al.  Application of the lattice Boltzmann method for solving the energy equation of a 2-D transient conduction–radiation problem , 2005 .

[30]  R. P. Smedley-Stevenson,et al.  Linear and quadratic octahedral wavelets on the sphere for angular discretisations of the Boltzmann transport equation , 2005 .

[31]  D. Henderson,et al.  Numerical benchmark solutions for time-dependent neutral particle transport in one-dimensional homogeneous media using integral transport , 2004 .

[32]  John Mandrekas,et al.  GTNEUT: A code for the calculation of neutral particle transport in plasmas based on the Transmission and Escape Probability method , 2004, Comput. Phys. Commun..

[33]  Gábor Házi,et al.  Lattice Boltzmann methods for two-phase flow modeling , 2002 .

[34]  Shiyi Chen,et al.  LATTICE BOLTZMANN METHOD FOR FLUID FLOWS , 2001 .

[35]  S. Succi The Lattice Boltzmann Equation for Fluid Dynamics and Beyond , 2001 .

[36]  Li-Shi Luo,et al.  Some Progress in Lattice Boltzmann Method. Part I. Nonuniform Mesh Grids , 1996 .

[37]  Wim Sweldens,et al.  Lifting scheme: a new philosophy in biorthogonal wavelet constructions , 1995, Optics + Photonics.

[38]  Graeme A. Bird,et al.  Definition of mean free path for real gases , 1983 .

[39]  J. Negele,et al.  Mean free path in a nucleus , 1981 .

[40]  S. Van Criekingen,et al.  parafish: A parallel FE–PN neutron transport solver based on domain decomposition , 2011 .

[41]  Gábor Házi,et al.  Large eddy simulation of subchannels using the lattice Boltzmann method , 2007 .

[42]  R. T. Ackroyd The why and how of finite elements , 1981 .