A high-order/low-order (HOLO) algorithm for preserving conservation in time-dependent low-rank transport calculations
From MaRDI portal
Publication:2133489
DOI10.1016/j.jcp.2021.110672OpenAlexW3198078977MaRDI QIDQ2133489
Ryan G. McClarren, Zhuogang Peng
Publication date: 29 April 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2011.06072
Numerical methods for ordinary differential equations (65Lxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Time-dependent statistical mechanics (dynamic and nonequilibrium) (82Cxx)
Related Items (13)
On the Stability of Robust Dynamical Low-Rank Approximations for Hyperbolic Problems ⋮ Conservative DG method for the micro-macro decomposition of the Vlasov-Poisson-Lenard-Bernstein model ⋮ A robust collision source method for rank adaptive dynamical low-rank approximation in radiation therapy ⋮ Efficient 6D Vlasov simulation using the dynamical low-rank framework \texttt{Ensign} ⋮ Benchmarks for Infinite Medium, Time Dependent Transport Problems with Isotropic Scattering ⋮ A Predictor-Corrector Strategy for Adaptivity in Dynamical Low-Rank Approximations ⋮ Accelerating the simulation of kinetic shear Alfvén waves with a dynamical low-rank approximation ⋮ Reduced-order modeling of neutron transport eigenvalue problems separated in energy by proper generalized decomposition ⋮ Asymptotic-Preserving and Energy Stable Dynamical Low-Rank Approximation ⋮ A robust and conservative dynamical low-rank algorithm ⋮ A low-rank power iteration scheme for neutron transport criticality problems ⋮ A rank-adaptive robust integrator for dynamical low-rank approximation ⋮ A sweep-based low-rank method for the discrete ordinate transport equation
Cites Work
- 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
- Simulating radiative transfer with filtered spherical harmonics
- Standard and goal-oriented adaptive mesh refinement applied to radiation transport on 2D unstructured triangular meshes
- Implicit filtered \(P_N\) for high-energy density thermal radiation transport using discontinuous Galerkin finite elements
- Asymptotic diffusion limit of cell temperature discretisation schemes for thermal radiation transport
- From quantum to classical molecular dynamics: Reduced models and numerical analysis.
- The effects of slope limiting on asymptotic-preserving numerical methods for hyperbolic conservation laws
- A two-mesh adaptive mesh refinement technique for \(S_N\) neutral-particle transport using a higher-order DGFEM
- Robust and accurate filtered spherical harmonics expansions for radiative transfer
- Dynamical low-rank approximation: Applications and numerical experiments
- Multiscale high-order/low-order (HOLO) algorithms and applications
- Fully implicit solution of large-scale non-equilibrium radiation diffusion with high order time integration
- Radiative transfer computations for optical beams.
- An unconventional robust integrator for dynamical low-rank approximation
- A low-rank method for two-dimensional time-dependent radiation transport calculations
- Space-time reduced order model for large-scale linear dynamical systems with application to Boltzmann transport problems
- Spatial adaptivity of the SAAF and weighted least squares (WLS) forms of the neutron transport equation using constraint based, locally refined, isogeometric analysis (IGA) with dual weighted residual (DWR) error measures
- A mass, momentum, and energy conservative dynamical low-rank scheme for the Vlasov equation
- A low-rank projector-splitting integrator for the Vlasov-Maxwell equations with divergence correction
- Scalable angular adaptivity for Boltzmann transport
- A space-angle DGFEM approach for the Boltzmann radiation transport equation with local angular refinement
- Moment closures based on minimizing the residual of the \(\operatorname{P}_N\) angular expansion in radiation transport
- Conservative model reduction for finite-volume models
- A projector-splitting integrator for dynamical low-rank approximation
- On solutions to the \(P_n\) equations for thermal radiative transfer
- Discretized Dynamical Low-Rank Approximation in the Presence of Small Singular Values
- Positive Filtered P$_N$ Moment Closures for Linear Kinetic Equations
- Dynamical Tensor Approximation
- Theoretical Aspects of the SimplifiedPnEquations
- The local projection $P^0-P^1$-discontinuous-Galerkin finite element method for scalar conservation laws
- Time Integration of Rank-Constrained Tucker Tensors
- A Low-Rank Projector-Splitting Integrator for the Vlasov--Poisson Equation
- A Least-Squares Transport Equation Compatible with Voids
- On the Use of Symmetrized Transport Equation in Goal-Oriented Adaptivity
- A Low-Rank Algorithm for Weakly Compressible Flow
- A Collision-Based Hybrid Method for Time-Dependent, Linear, Kinetic Transport Equations
- Dynamical Low‐Rank Approximation
- A quasi-diffusion method of solving the kinetic equation
This page was built for publication: A high-order/low-order (HOLO) algorithm for preserving conservation in time-dependent low-rank transport calculations
