RBF WENO reconstructions with adaptive order and applications to conservation laws
DOI10.1007/s10915-022-01827-6OpenAlexW4220964646MaRDI QIDQ2147467
Chieh-Sen Huang, Ming-Hsien Kuo, Todd Arbogast
Publication date: 20 June 2022
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-022-01827-6
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) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx)
Related Items (1)
Uses Software
Cites Work
- Unnamed Item
- A RBF-WENO finite volume method for hyperbolic conservation laws with the monotone polynomial interpolation method
- Interpolation of scattered data: distance matrices and conditionally positive definite functions
- A new fifth order finite difference WENO scheme for solving hyperbolic conservation laws
- The numerical simulation of two-dimensional fluid flow with strong shocks
- Efficient implementation of essentially nonoscillatory shock-capturing schemes
- Conditionally positive definite functions and their application to multivariate interpolations
- Weighted essentially non-oscillatory schemes on triangular meshes
- Conditionally positive definite functions and Laplace-Stieltjes integrals
- Weighted essentially non-oscillatory schemes
- An efficient class of WENO schemes with adaptive order
- Mapped weighted essentially non-oscillatory schemes: Achieving optimal order near critical points
- Efficient implementation of weighted ENO schemes
- A new type of increasingly high-order multi-resolution trigonometric WENO schemes for hyperbolic conservation laws and highly oscillatory problems
- Two-dimensional RBF-ENO method on unstructured grids
- 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
- Analysis of WENO Schemes for Full and Global Accuracy
- Uniformly High-Order Accurate Nonoscillatory Schemes. I
- Nonoscillatory Central Schemes for Multidimensional Hyperbolic Conservation Laws
- Numerical Solution of the Riemann Problem for Two-Dimensional Gas Dynamics
- Compact Central WENO Schemes for Multidimensional Conservation Laws
- 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
- Entropy stable essentially nonoscillatory methods based on RBF reconstruction
- Trigonometric WENO Schemes for Hyperbolic Conservation Laws and Highly Oscillatory Problems
This page was built for publication: RBF WENO reconstructions with adaptive order and applications to conservation laws