Mass conservative limiting and applications to the approximation of the steady-state radiation transport equations
DOI10.1016/j.jcp.2024.113531MaRDI QIDQ6670708
Zuodong Wang, Jean-Luc Guermond
Publication date: 24 January 2025
Published in: Journal of Computational Physics (Search for Journal in Brave)
advection equationinvariant domainsradiation transport equationasymptotic preservingconservation equationslimitingstiff sources
Hyperbolic conservation laws (35L65) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Reaction effects in flows (76V05)
Cites Work
- Unnamed Item
- Unnamed Item
- On third-order limiter functions for finite volume methods
- Formulation, analysis and numerical study of an optimization-based conservative interpolation (remap) of scalar fields for arbitrary Lagrangian-Eulerian methods
- Edge stabilization for Galerkin approximations of convection-diffusion-reaction problems
- Optimization-based remap and transport: a divide and conquer strategy for feature-preserving discretizations
- Fully multidimensional flux-corrected transport algorithms for fluids
- Asymptotic solutions of numerical transport problems in optically thick, diffusive regimes
- An asymptotic-preserving well-balanced scheme for the hyperbolic heat equations
- Extension of generic two-component VOF interface advection schemes to an arbitrary number of components
- A family of independent variable Eddington factor methods with efficient preconditioned iterative solvers
- A sweep-based low-rank method for the discrete ordinate transport equation
- A quadratic programming flux correction method for high-order DG discretizations of \(S_N\) transport
- A non-negative moment-preserving spatial discretization scheme for the linearized Boltzmann transport equation in 1-D and 2-D Cartesian geometries
- Spatial differencing of the transport equation: Positivity vs. accuracy
- Asymptotic Analysis of Upwind Discontinuous Galerkin Approximation of the Radiative Transport Equation in the Diffusive Limit
- Uniformly High-Order Accurate Nonoscillatory Schemes. I
- Initial and boundary conditions for diffusive linear transport problems
- Second-Order Invariant Domain Preserving Approximation of the Euler Equations Using Convex Limiting
- Positive and Asymptotic Preserving Approximation of the Radiation Transport Equation
- Optimization-based, property-preserving algorithm for passive tracer transport
- A simple and efficient convex optimization based bound-preserving high order accurate limiter for Cahn-Hilliard-Navier-Stokes system
This page was built for publication: Mass conservative limiting and applications to the approximation of the steady-state radiation transport equations