One- and multi-dimensional CWENOZ reconstructions for implementing boundary conditions without ghost cells
From MaRDI portal
Publication:2692147
DOI10.1007/s42967-021-00151-4OpenAlexW3209352184MaRDI QIDQ2692147
Gabriella Puppo, Elena Travaglia, Matteo Semplice
Publication date: 21 March 2023
Published in: Communications on Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2103.12386
hyperbolic systemshigh-order finite volume schemesadaptive order reconstructionsboundary conditions without ghost cellsCWENOZ reconstruction
Finite volume methods applied to problems in fluid mechanics (76M12) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)
Related Items (5)
A class of high-order weighted compact central schemes for solving hyperbolic conservation laws ⋮ Numerical boundary control for semilinear hyperbolic systems ⋮ A class of ENO schemes with adaptive order for solving hyperbolic conservation laws ⋮ Inverse Lax-Wendroff Boundary Treatment: a Survey ⋮ A finite volume multilevel WENO scheme for multidimensional scalar conservation laws
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Adaptive mesh refinement for hyperbolic systems based on third-order compact WENO reconstruction
- High order weighted extrapolation for boundary conditions for finite difference methods on complex domains with Cartesian meshes
- Accuracy of the weighted essentially non-oscillatory conservative finite difference schemes
- Efficient implementation of high order inverse Lax-Wendroff boundary treatment for conservation laws
- Cool WENO schemes
- ADER schemes and high order coupling on networks of hyperbolic conservation laws
- On the spectral properties of shock-capturing schemes
- Compact third-order limiter functions for finite volume methods
- Weighted essentially non-oscillatory schemes on triangular meshes
- Central WENO schemes through a global average weight
- Mapped weighted essentially non-oscillatory schemes: Achieving optimal order near critical points
- A unified coordinate system for solving the two-dimensional Euler equations
- Efficient implementation of weighted ENO schemes
- Inverse Lax-Wendroff procedure for numerical boundary conditions of conservation laws
- Boundary treatment of high order Runge-Kutta methods for hyperbolic conservation laws
- An inverse Lax-Wendroff procedure for hyperbolic conservation laws with changing wind direction on the boundary
- An efficient class of WENO schemes with adaptive order for unstructured meshes
- On a third order CWENO boundary treatment with application to networks of hyperbolic conservation laws
- Efficient implementation of adaptive order reconstructions
- Junction-generalized Riemann problem for stiff hyperbolic balance laws in networks: an implicit solver and ADER schemes
- High order WENO and DG methods for time-dependent convection-dominated PDEs: A brief survey of several recent developments
- Inverse Lax-Wendroff procedure for numerical boundary conditions of convection-diffusion equations
- On the accuracy of WENO and CWENO reconstructions of third order on nonuniform meshes
- Strong Stability-Preserving High-Order Time Discretization Methods
- Inverse Lax–Wendroff Procedure for Numerical Boundary Treatment of Hyperbolic Equations
- High Order Weighted Essentially Nonoscillatory Schemes for Convection Dominated Problems
- Riemann Solvers and Numerical Methods for Fluid Dynamics
- Classification of the Riemann Problem for Two-Dimensional Gas Dynamics
- Compact Central WENO Schemes for Multidimensional Conservation Laws
- Weighted Extrapolation Techniques for Finite Difference Methods on Complex Domains with Cartesian Meshes
- New Finite Volume Weighted Essentially Nonoscillatory Schemes on Triangular Meshes
- CWENO: Uniformly accurate reconstructions for balance laws
- The Theoretical Accuracy of Runge–Kutta Time Discretizations for the Initial Boundary Value Problem: A Study of the Boundary Error
- On the Full and Global Accuracy of a Compact Third Order WENO Scheme
- Optimal Definition of the Nonlinear Weights in Multidimensional Central WENOZ Reconstructions
- Essentially non-oscillatory and weighted essentially non-oscillatory schemes
- Stability analysis of the inverse Lax-Wendroff boundary treatment for high order upwind-biased finite difference schemes
This page was built for publication: One- and multi-dimensional CWENOZ reconstructions for implementing boundary conditions without ghost cells
