An Efficient Mapped WENO Scheme Using Approximate Constant Mapping
From MaRDI portal
Publication:5864766
DOI10.4208/nmtma.OA-2021-0074zbMath1499.65407arXiv2102.00231MaRDI QIDQ5864766
No author found.
Publication date: 8 June 2022
Published in: Numerical Mathematics: Theory, Methods and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2102.00231
Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite difference methods for boundary value problems involving PDEs (65N06)
Related Items (7)
An Extension of the Order-Preserving Mapping to the WENO-Z-Type Schemes ⋮ A New Mapped WENO Scheme Using Order-Preserving Mapping ⋮ A General Improvement in the WENO-Z-Type Schemes ⋮ An improved fifth-order WENO scheme with symmetry-preserving smoothness indicators for hyperbolic conservation laws ⋮ Locally order-preserving mapping for WENO methods ⋮ A Numerical Study of Integrated Linear Reconstruction for Steady Euler Equations Based on Finite Volume Scheme ⋮ A robust and efficient component-wise WENO scheme for Euler equations
Cites Work
- Unnamed Item
- A modified fifth-order WENOZ method for hyperbolic conservation laws
- A new mapped weighted essentially non-oscillatory method using rational mapping function
- Accuracy of the weighted essentially non-oscillatory conservative finite difference schemes
- A new smoothness indicator for improving the weighted essentially non-oscillatory scheme
- High order weighted essentially non-oscillatory WENO-Z schemes for hyperbolic conservation laws
- A new fifth order finite difference WENO scheme for solving hyperbolic conservation laws
- ENO schemes with subcell resolution
- Efficient, high accuracy ADER-WENO schemes for hydrodynamics and divergence-free magneto\-hydrodynamics
- Very-high-order WENO schemes
- The numerical simulation of two-dimensional fluid flow with strong shocks
- Some results on uniformly high-order accurate essentially nonoscillatory schemes
- Uniformly high order accurate essentially non-oscillatory schemes. III
- Efficient implementation of essentially nonoscillatory shock-capturing schemes
- Efficient implementation of essentially nonoscillatory shock-capturing schemes. II
- A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws
- The Runge-Kutta discontinuous Galerkin method for conservation laws. I: Multidimensional systems
- Shock wave deformation in shock-vortex interactions
- Weighted essentially non-oscillatory schemes
- A characteristic-wise hybrid compact-WENO scheme for solving hyperbolic conservation laws.
- Monotonicity preserving weighted essentially non-oscillatory schemes with increasingly high order of accuracy
- An improved mapped weighted essentially non-oscillatory scheme
- Mapped weighted essentially non-oscillatory schemes: Achieving optimal order near critical points
- Efficient implementation of weighted ENO schemes
- Adaptive mapping for high order WENO methods
- A mapping-function-free WENO-M scheme with low computational cost
- Efficient implementation of ADER schemes for Euler and magnetohydrodynamical flows on structured meshes -- speed comparisons with Runge-Kutta methods
- A new mapped weighted essentially non-oscillatory scheme
- An improved fifth order alternative WENO-Z finite difference scheme for hyperbolic conservation laws
- Modified stencil approximations for fifth-order weighted essentially non-oscillatory schemes
- An improved weighted essentially non-oscillatory scheme for hyperbolic conservation laws
- A new smoothness indicator for the WENO schemes and its effect on the convergence to steady state solutions
- Strong Stability-Preserving High-Order Time Discretization Methods
- Analysis of WENO Schemes for Full and Global Accuracy
- Uniformly High-Order Accurate Nonoscillatory Schemes. I
- Classification of the Riemann Problem for Two-Dimensional Gas Dynamics
- Numerical Solution of the Riemann Problem for Two-Dimensional Gas Dynamics
- Total variation diminishing Runge-Kutta schemes
- A Modified Adaptive Improved Mapped WENO Method
- On the Order of Accuracy and Numerical Performance of Two Classes of Finite Volume WENO Schemes
- Piecewise Polynomial Mapping Method and Corresponding WENO Scheme with Improved Resolution
- Numerical Methods for High-Speed Flows
- Weak solutions of nonlinear hyperbolic equations and their numerical computation
This page was built for publication: An Efficient Mapped WENO Scheme Using Approximate Constant Mapping
