Efficient implementation of adaptive order reconstructions
DOI10.1007/s10915-020-01156-6zbMath1432.65125arXiv1910.03559OpenAlexW3012529102MaRDI QIDQ2307426
Giuseppe Visconti, Matteo Semplice
Publication date: 27 March 2020
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1910.03559
hyperbolic systemsfinite volume schemespolynomial reconstructionweighted essentially nonoscillatory\textsf{CWENOZ-AO}\textsf{CWENOZ}adaptive order \textsf{WENO}conservation and balance laws
Finite volume methods applied to problems in fluid mechanics (76M12) Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)
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Cites Work
- Unnamed Item
- Adaptive mesh refinement for hyperbolic systems based on third-order compact WENO reconstruction
- Accuracy of the weighted essentially non-oscillatory conservative finite difference schemes
- A new fourth order central WENO method for 3D hyperbolic conservation laws
- A high-order multi-dimensional HLL-Riemann solver for non-linear Euler equations
- High order weighted essentially non-oscillatory WENO-Z schemes for hyperbolic conservation laws
- Cool WENO schemes
- Arbitrary high order non-oscillatory finite volume schemes on unstructured meshes for linear hyperbolic systems
- Uniformly high order accurate essentially non-oscillatory schemes. III
- Efficient implementation of essentially nonoscillatory shock-capturing schemes. II
- Weighted essentially non-oscillatory schemes on triangular meshes
- An efficient class of WENO schemes with adaptive order
- A new type of finite volume WENO schemes for hyperbolic conservation laws
- A new third order finite volume weighted essentially non-oscillatory scheme on tetrahedral meshes
- Central WENO schemes through a global average weight
- High order finite difference Hermite WENO schemes for the Hamilton-Jacobi equations on unstructured meshes
- Mapped weighted essentially non-oscillatory schemes: Achieving optimal order near critical points
- On the construction, comparison, and local characteristic decomposition for high-order central WENO schemes
- Efficient implementation of weighted ENO schemes
- A new type of multi-resolution WENO schemes with increasingly higher order of accuracy
- Simple smoothness indicator and multi-level adaptive order WENO scheme for hyperbolic conservation laws
- Adaptive filtered schemes for first order Hamilton-Jacobi equations
- A new type of multi-resolution WENO schemes with increasingly higher order of accuracy on triangular meshes
- High order direct arbitrary-Lagrangian-Eulerian (ALE) \(P_NP_M\) schemes with WENO adaptive-order reconstruction on unstructured meshes
- An efficient class of WENO schemes with adaptive order for unstructured meshes
- An improved weighted essentially non-oscillatory scheme with a new smoothness indicator
- On a third order CWENO boundary treatment with application to networks of hyperbolic conservation laws
- An improved weighted essentially non-oscillatory scheme for hyperbolic conservation laws
- A central WENO scheme for solving hyperbolic conservation laws on non-uniform meshes
- New high-resolution scheme for three-dimensional nonlinear hyperbolic conservation laws
- On the accuracy of WENO and CWENO reconstructions of third order on nonuniform meshes
- Analysis of WENO Schemes for Full and Global Accuracy
- Riemann Solvers and Numerical Methods for Fluid Dynamics
- Numerical Entropy Production for Central Schemes
- Weighted ENO Schemes for Hamilton--Jacobi Equations
- Compact Central WENO Schemes for Multidimensional Conservation Laws
- Accuracy of WENO and Adaptive Order WENO Reconstructions for Solving Conservation Laws
- Numerical Entropy and Adaptivity for Finite Volume Schemes
- Central Weighted ENO Schemes for Hyperbolic Conservation Laws on Fixed and Moving Unstructured Meshes
- New Finite Volume Weighted Essentially Nonoscillatory Schemes on Triangular Meshes
- CWENO: Uniformly accurate reconstructions for balance laws
- Central WENO Subcell Finite Volume Limiters for ADER Discontinuous Galerkin Schemes on Fixed and Moving Unstructured Meshes
- Entropies and Symmetrization of Hyperbolic Stochastic Galerkin Formulations
- On the Full and Global Accuracy of a Compact Third Order WENO Scheme
- Optimal Definition of the Nonlinear Weights in Multidimensional Central WENOZ Reconstructions
- Numerical Methods for Ordinary Differential Equations
- A technique of treating negative weights in WENO schemes