Multidimensional WENO-AO reconstructions using a simplified smoothness indicator and applications to conservation laws
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Publication:6053013
DOI10.1007/s10915-023-02319-xMaRDI QIDQ6053013
Todd Arbogast, Chieh-Sen Huang, Chenyu Tian
Publication date: 25 September 2023
Published in: Journal of Scientific Computing (Search for Journal in Brave)
finite volumehyperbolicsmoothness indicatorweighted essentially non-oscillatoryWENO-Zpolynomial reconstructionadaptive order
Finite volume methods applied to problems in fluid mechanics (76M12) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Algorithms for approximation of functions (65D15) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)
Cites Work
- Unnamed Item
- High order weighted essentially non-oscillatory WENO-Z schemes for hyperbolic conservation laws
- The numerical simulation of two-dimensional fluid flow with strong shocks
- Efficient implementation of essentially nonoscillatory shock-capturing schemes
- Weighted essentially non-oscillatory schemes on triangular meshes
- An efficient class of WENO schemes with adaptive order
- A simple smoothness indicator for the WENO scheme with adaptive order
- Mapped weighted essentially non-oscillatory schemes: Achieving optimal order near critical points
- Efficient implementation of weighted ENO schemes
- Simple smoothness indicator and multi-level adaptive order WENO scheme for hyperbolic conservation laws
- RBF WENO reconstructions with adaptive order and applications to conservation laws
- A new type of increasingly high-order multi-resolution trigonometric WENO schemes for hyperbolic conservation laws and highly oscillatory problems
- Finite volume WENO schemes for nonlinear parabolic problems with degenerate diffusion on non-uniform meshes
- An efficient class of WENO schemes with adaptive order for unstructured meshes
- WLS-ENO: weighted-least-squares based essentially non-oscillatory schemes for finite volume methods on unstructured meshes
- Adaptive WENO methods based on radial basis function reconstruction
- An improved weighted essentially non-oscillatory scheme for hyperbolic conservation laws
- Analysis of WENO Schemes for Full and Global Accuracy
- Central WENO schemes for hyperbolic systems of conservation laws
- Nonoscillatory Central Schemes for Multidimensional Hyperbolic Conservation Laws
- Numerical Solution of the Riemann Problem for Two-Dimensional Gas Dynamics
- Accuracy of WENO and Adaptive Order WENO Reconstructions for Solving Conservation Laws
- CWENO: Uniformly accurate reconstructions for balance laws
- On the Full and Global Accuracy of a Compact Third Order WENO Scheme
- Adaptive ADER Methods Using Kernel-Based Polyharmonic Spline WENO Reconstruction
- Trigonometric WENO Schemes for Hyperbolic Conservation Laws and Highly Oscillatory Problems