Semi-implicit time integration for \(P_N\) thermal radiative transfer
From MaRDI portal
Publication:935296
DOI10.1016/j.jcp.2008.04.029zbMath1213.85038OpenAlexW1651618008WikidataQ57703593 ScholiaQ57703593MaRDI QIDQ935296
Ryan G. McClarren, Robert B. Lowrie, Jeffery D. Densmore, Thomas M. Evans
Publication date: 6 August 2008
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2008.04.029
Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Radiative transfer in astronomy and astrophysics (85A25)
Related Items (34)
Semi-implicit and semidiscrete difference schemes for solving a nonstationary kinetic equation of thermal radiative transfer and energy equation ⋮ A spatial-temporal asymptotic preserving scheme for radiation magnetohydrodynamics in the equilibrium and non-equilibrium diffusion limit ⋮ Data-driven acceleration of thermal radiation transfer calculations with the dynamic mode decomposition and a sequential singular value decomposition ⋮ Moment closures based on minimizing the residual of the \(\operatorname{P}_N\) angular expansion in radiation transport ⋮ An asymptotic-preserving IMEX method for nonlinear radiative transfer equation ⋮ Implicit Monte Carlo with a Linear Discontinuous Finite Element Material Solution and Piecewise Non-Constant Opacity ⋮ Radiation transport modeling using extended quadrature method of moments ⋮ On the asymptotic preserving property of the unified gas kinetic scheme for the diffusion limit of linear kinetic models ⋮ A realizability-preserving discontinuous Galerkin method for the \(M_1\) model of radiative transfer ⋮ A new spherical harmonics scheme for multi-dimensional radiation transport. I: Static matter configurations ⋮ A finite element method for angular discretization of the radiation transport equation on spherical geodesic grids ⋮ Global high-order numerical schemes for the time evolution of the general relativistic radiation magneto-hydrodynamics equations ⋮ A collision-based hybrid method for the BGK equation ⋮ Simulating radiative transfer with filtered spherical harmonics ⋮ Multiscale simulation for the system of radiation hydrodynamics ⋮ Realizability-preserving DG-IMEX method for the two-moment model of fermion transport ⋮ Hybrid discrete ordinates-spherical harmonics solution to the Boltzmann transport equation for phonons for non-equilibrium heat conduction ⋮ A nonlinear moment model for radiative transfer equation in slab geometry ⋮ A Nonlinear Hyperbolic Model for Radiative Transfer Equation in Slab Geometry ⋮ New self-similar radiation-hydrodynamics solutions in the high-energy density, equilibrium diffusion limit ⋮ A Hybrid Finite-Volume, Discontinuous Galerkin Discretization for the Radiative Transport Equation ⋮ Direct Flux Gradient Approximation to Moment Closure of Kinetic Equations ⋮ A Nonlinear Moment Model for Radiative Transfer Equation ⋮ The effects of slope limiting on asymptotic-preserving numerical methods for hyperbolic conservation laws ⋮ Robust and accurate filtered spherical harmonics expansions for radiative transfer ⋮ Implicit filtered \(P_N\) for high-energy density thermal radiation transport using discontinuous Galerkin finite elements ⋮ Second-order time evolution of \(P_N\) equations for radiation transport ⋮ Semi-implicit hybrid discrete \(\left(\mathrm{H}^T_N\right)\) approximation of thermal radiative transfer ⋮ Theoretical Aspects of the SimplifiedPnEquations ⋮ Moment Analysis of Angular APproximation Methods for Time-Dependent Radiation Transport ⋮ Stability analysis of a multilevel quasidiffusion method for thermal radiative transfer problems ⋮ A Regularized Entropy-Based Moment Method for Kinetic Equations ⋮ Accurate Front Capturing Asymptotic Preserving Scheme for Nonlinear Gray Radiative Transfer Equation ⋮ StaRMAP---A Second Order Staggered Grid Method for Spherical Harmonics Moment Equations of Radiative Transfer
Cites Work
- A comparison of implicit time integration methods for nonlinear relaxation and diffusion
- Asymptotic solutions of numerical transport problems in optically thick, diffusive regimes
- Towards the ultimate conservative difference scheme. IV: A new approach to numerical convection
- Asymptotic analysis of a computational method for time- and frequency-dependent radiative transfer
- A linear-discontinuous spatial differencing scheme for \(S_ n\) radiative transfer calculations
- Asymptotic solutions of numerical transport problems in optically thick, diffusive regimes. II
- Asymptotic equilibrium diffusion analysis of time-dependent Monte Carlo methods for grey radiative transfer
- On solutions to the \(P_n\) equations for thermal radiative transfer
- Spatial discretizations for self-adjoint forms of the radiative transfer equations
- An implicit Monte Carlo scheme for calculating time and frequency dependent nonlinear radiation transport
- Two-dimensional time dependent Riemann solvers for neutron transport
- TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework
- An Asymptotic-Induced Scheme for Nonstationary Transport Equations in the Diffusive Limit
- Uniform Stability of a Finite Difference Scheme for Transport Equations in Diffusive Regimes
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Semi-implicit time integration for \(P_N\) thermal radiative transfer