An Efficient Third-Order WENO Scheme with Unconditionally Optimal Accuracy
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Publication:5107800
DOI10.1137/19M1260396zbMath1434.65106OpenAlexW3016193330MaRDI QIDQ5107800
Raimund Bürger, David Zorío, Antonio Baeza, Pep Mulet
Publication date: 28 April 2020
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/19m1260396
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An order-adaptive compact approximation Taylor method for systems of conservation laws ⋮ An ADER-LSTDG Scheme for the Numerical Simulation of a Global Climate Model ⋮ High order weighted essentially non-oscillatory WENO-ZN schemes for hyperbolic conservation laws ⋮ Improving the third-order WENO schemes by using exponential polynomial space with a locally optimized shape parameter ⋮ A new family of downwind-limited, scale-invariant WENO schemes with optimal accuracy ⋮ A smoothness indicators free third-order weighted ENO scheme for gas-dynamic Euler equations ⋮ Nonlinear weights for shock capturing schemes with unconditionally optimal high order ⋮ A unified framework for non-linear reconstruction schemes in a compact stencil. I: Beyond second order ⋮ Lax-Wendroff approximate Taylor methods with fast and optimized weighted essentially non-oscillatory reconstructions ⋮ Fast and optimal WENO schemes for degenerate parabolic conservation laws ⋮ Three-level order-adaptive weighted essentially non-oscillatory schemes
Cites Work
- High order boundary extrapolation technique for finite difference methods on complex domains with Cartesian meshes
- On third-order limiter functions for finite volume methods
- Third-order energy stable WENO scheme
- A systematic methodology for constructing high-order energy stable WENO schemes
- The numerical simulation of two-dimensional fluid flow with strong shocks
- Efficient implementation of essentially nonoscillatory shock-capturing schemes
- Efficient implementation of essentially nonoscillatory shock-capturing schemes. II
- Weighted essentially non-oscillatory schemes
- An improved third-order weighted essentially non-oscillatory scheme achieving optimal order near critical points
- An approximate Lax-Wendroff-type procedure for high order accurate schemes for hyperbolic conservation laws
- Mapped weighted essentially non-oscillatory schemes: Achieving optimal order near critical points
- Capturing shock reflections: An improved flux formula
- Efficient implementation of weighted ENO schemes
- On the efficient computation of smoothness indicators for a class of WENO reconstructions
- Relations between WENO3 and third-order limiting in finite volume methods
- An improved weighted essentially non-oscillatory scheme for hyperbolic conservation laws
- An evaluation of several differencing methods for inviscid fluid flow problems
- Analysis of WENO Schemes for Full and Global Accuracy
- Classification of the Riemann Problem for Two-Dimensional Gas Dynamics
- Finite Difference WENO Schemes with Lax--Wendroff-Type Time Discretizations
- Solution of two-dimensional Riemann problems for gas dynamics without Riemann problem solvers
- WENO Reconstructions of Unconditionally Optimal High Order
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