A New Mapped WENO Scheme Using Order-Preserving Mapping
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Publication:5065185
DOI10.4208/cicp.OA-2021-0150zbMath1482.65147arXiv2104.04467MaRDI QIDQ5065185
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Publication date: 18 March 2022
Published in: Communications in Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2104.04467
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)
Related Items (6)
An Extension of the Order-Preserving Mapping to the WENO-Z-Type Schemes ⋮ A General Improvement in the WENO-Z-Type Schemes ⋮ Locally order-preserving mapping for WENO methods ⋮ A Hybrid WENO Scheme for Steady Euler Equations in Curved Geometries on Cartesian Grids ⋮ 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
Uses Software
Cites Work
- 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
- ENO schemes with subcell resolution
- Self-adjusting grid methods for one-dimensional hyperbolic conservation laws
- 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
- Approximate Riemann solvers, parameter vectors, and difference schemes
- Advanced numerical approximation of nonlinear hyperbolic equations. Lectures given at the 2nd session of the Centro Internazionale Matematico Estivo (C. I. M. E.) held in Cetraro, Italy, June 23--28, 1997
- Shock wave deformation in shock-vortex interactions
- Restoration of the contact surface in the HLL-Riemann solver
- Weighted essentially non-oscillatory schemes
- A characteristic-wise hybrid compact-WENO scheme for solving hyperbolic conservation laws.
- An improved mapped weighted essentially non-oscillatory scheme
- The weighted ENO scheme based on the modified smoothness indicator
- A modified fifth-order WENO scheme for hyperbolic conservation laws
- 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 new mapped weighted essentially non-oscillatory scheme
- Modified stencil approximations for fifth-order weighted essentially non-oscillatory schemes
- An improved weighted essentially non-oscillatory scheme for hyperbolic conservation laws
- A numerical study for the performance of the Runge-Kutta discontinuous Galerkin method based on different numerical fluxes
- 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
- Riemann Solvers and Numerical Methods for Fluid Dynamics
- On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws
- Uniformly High-Order Accurate Nonoscillatory Schemes. I
- One-Sided Difference Approximations for Nonlinear Conservation Laws
- Upwind Difference Schemes for Hyperbolic Systems of Conservation Laws
- 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
- Solution of Two-Dimensional Riemann Problems of Gas Dynamics by Positive Schemes
- A Modified Adaptive Improved Mapped WENO Method
- An Adaptive High Order WENO Solver for Conservation Laws
- Performance Enhancement for High-Order Gas-Kinetic Scheme Based on WENO-Adaptive-Order Reconstruction
- 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
- An Efficient Mapped WENO Scheme Using Approximate Constant Mapping
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