Positive Filtered P$_N$ Moment Closures for Linear Kinetic Equations

DOI10.1137/15M1052871zbMath1352.42032OpenAlexW2552322922MaRDI QIDQ2834564

M. Paul Laiu, André L. Tits, Dianne P. O'Leary, Ryan G. McClarren, Cory D. Hauck

Publication date: 23 November 2016

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/15m1052871

zbMATH Keywords

moment closurefilteringkinetic equationspectral methodspositivity preservationspherical harmonic expansion

Mathematics Subject Classification ID

Quadratic programming (90C20) Transport processes in time-dependent statistical mechanics (82C70) Approximation with constraints (41A29) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Approximation by polynomials (41A10) Nuclear reactor theory; neutron transport (82D75) Harmonic analysis and PDEs (42B37) First-order hyperbolic equations (35L02)

Related Items (14)

Solving the linear transport equation by a deep neural network approach ⋮ A positive and asymptotic preserving filtered \(P_N\) method for the gray radiative transfer equations ⋮ A high-order/low-order (HOLO) algorithm for preserving conservation in time-dependent low-rank transport calculations ⋮ Data-driven acceleration of thermal radiation transfer calculations with the dynamic mode decomposition and a sequential singular value decomposition ⋮ Convex optimization-based structure-preserving filter for multidimensional finite element simulations ⋮ A constraint-reduced MPC algorithm for convex quadratic programming, with a modified active set identification scheme ⋮ Positivity limiters for filtered spectral approximations of linear kinetic transport equations ⋮ Moment methods for the radiative transfer equation based on \(\varphi\)-divergences ⋮ A Nonlinear Moment Model for Radiative Transfer Equation ⋮ Intrusive methods in uncertainty quantification and their connection to kinetic theory ⋮ Implicit filtered \(P_N\) for high-energy density thermal radiation transport using discontinuous Galerkin finite elements ⋮ A spherical harmonic discontinuous Galerkin method for radiative transfer equations with vacuum boundary conditions ⋮ Semi-implicit hybrid discrete \(\left(\mathrm{H}^T_N\right)\) approximation of thermal radiative transfer ⋮ A Positive Asymptotic-Preserving Scheme for Linear Kinetic Transport Equations

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