Quinpi: integrating stiff hyperbolic systems with implicit high order finite volume schemes
DOI10.4208/cicp.oa-2023-0199zbMath1546.65066MaRDI QIDQ6608345
Matteo Semplice, Giuseppe Visconti, Gabriella Puppo
Publication date: 19 September 2024
Published in: Communications in Computational Physics (Search for Journal in Brave)
hyperbolic systemsfinite volumesimplicit methodsessentially non-oscillatory schemesentropy indicators
Hyperbolic conservation laws (35L65) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Numerical methods for stiff equations (65L04) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)
Cites Work
- Adaptive mesh refinement for hyperbolic systems based on third-order compact WENO reconstruction
- \textit{A posteriori} subcell limiting of the discontinuous Galerkin finite element method for hyperbolic conservation laws
- A high-order finite volume method for systems of conservation laws-multi-dimensional optimal order detection (MOOD)
- High order weighted essentially non-oscillatory WENO-Z schemes for hyperbolic conservation laws
- Analysis of Godunov type schemes applied to the compressible Euler system at low Mach number
- Optimal implicit strong stability preserving Runge-Kutta methods
- Concepts and application of time-limiters to high resolution schemes
- All Mach number second order semi-implicit scheme for the Euler equations of gas dynamics
- An efficient class of WENO schemes with adaptive order
- An all-speed relaxation scheme for gases and compressible materials
- A pressure-based semi-implicit space-time discontinuous Galerkin method on staggered unstructured meshes for the solution of the compressible Navier-Stokes equations at all Mach numbers
- Adaptive-mesh-refinement for hyperbolic systems of conservation laws based on a posteriori stabilized high order polynomial reconstructions
- Numerical approximation of hyperbolic systems of conservation laws
- Semi-implicit extension of a Godunov-type scheme based on low Mach number asymptotics. I: One-dimensional flow
- Efficient implementation of weighted ENO schemes
- A third order, implicit, finite volume, adaptive Runge-Kutta WENO scheme for advection-diffusion equations
- Semi-implicit methods for advection equations with explicit forms of numerical solution
- Implicit finite volume method with a posteriori limiting for transport networks
- Conservation properties of iterative methods for implicit discretizations of conservation laws
- Linearly implicit all Mach number shock capturing schemes for the Euler equations
- Efficient implementation of adaptive order reconstructions
- Improved detection criteria for the multi-dimensional optimal order detection (MOOD) on unstructured meshes with very high-order polynomials
- An improved WENO-Z scheme
- Well-balanced high order 1D schemes on non-uniform grids and entropy residuals
- A fifth-order flux-implicit WENO method
- One- and multi-dimensional CWENOZ reconstructions for implementing boundary conditions without ghost cells
- Quinpi: integrating conservation laws with CWENO implicit methods
- High resolution compact implicit numerical scheme for conservation laws
- Spatially Partitioned Embedded Runge--Kutta Methods
- Implicit Scheme for Hyperbolic Conservation Laws Using Nonoscillatory Reconstruction in Space and Time
- Local Time Stepping Applied to Implicit-Explicit Methods for Hyperbolic Systems
- Entropy-satisfying relaxation method with large time-steps for Euler IBVPs
- Local time stepping with adaptive time step control for a two-phase fluid system
- Diagonally Implicit Runge–Kutta Methods for Stiff O.D.E.’s
- Adaptive Mesh Refinement Using Wave-Propagation Algorithms for Hyperbolic Systems
- Numerical Entropy Production for Central Schemes
- Compact Central WENO Schemes for Multidimensional Conservation Laws
- Numerical Entropy and Adaptivity for Finite Volume Schemes
- CWENO: Uniformly accurate reconstructions for balance laws
- High Order Semi-implicit WENO Schemes for All-Mach Full Euler System of Gas Dynamics
- Optimal Definition of the Nonlinear Weights in Multidimensional Central WENOZ Reconstructions
- All Speed Scheme for the Low Mach Number Limit of the Isentropic Euler Equations
- Study of a New Asymptotic Preserving Scheme for the Euler System in the Low Mach Number Limit
- A New Family of High Order Unstructured MOOD and ADER Finite Volume Schemes for Multidimensional Systems of Hyperbolic Conservation Laws
- Multiresolution technique and explicit–implicit scheme for multicomponent flows
- Semi-conservative high order scheme with numerical entropy indicator for intrusive formulations of hyperbolic systems
- A conservative a-posteriori time-limiting procedure in Quinpi schemes
This page was built for publication: Quinpi: integrating stiff hyperbolic systems with implicit high order finite volume schemes