Development of a Modified Seventh-Order WENO Scheme with New Nonlinear Weights
From MaRDI portal
Publication:5030441
DOI10.1080/10618562.2021.1950697zbMath1483.65133OpenAlexW3184659366MaRDI QIDQ5030441
Kamyar Mansour, Kaveh Fardipour
Publication date: 17 February 2022
Published in: International Journal of Computational Fluid Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/10618562.2021.1950697
Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)
Related Items
Cites Work
- Unnamed Item
- Modified non-linear weights for fifth-order weighted essentially non-oscillatory schemes
- A new smoothness indicator for improving the weighted essentially non-oscillatory scheme
- High order weighted essentially nonoscillatory WENO-\(\eta\) schemes for hyperbolic conservation laws
- An adaptive central-upwind weighted essentially non-oscillatory scheme
- High order weighted essentially non-oscillatory WENO-Z schemes for hyperbolic conservation laws
- Finite-volume WENO schemes for three-dimensional conservation laws
- Boundary variation diminishing (BVD) reconstruction: a new approach to improve Godunov schemes
- Uniformly high order accurate essentially non-oscillatory schemes. III
- Approximate Riemann solvers, parameter vectors, and difference schemes
- A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws
- Weighted essentially non-oscillatory schemes
- Accurate monotonicity-preserving schemes with Runge-Kutta time stepping
- Monotonicity preserving weighted essentially non-oscillatory schemes with increasingly high order of accuracy
- Numerical assessments of high-order accurate shock capturing schemes: Kelvin-Helmholtz type vortical structures in high-resolutions
- An improved third-order weighted essentially non-oscillatory scheme achieving optimal order near critical points
- A new central compact finite difference formula for improving robustness in weighted compact nonlinear schemes
- An improved non-linear weights for seventh-order weighted essentially non-oscillatory scheme
- A modified fifth-order WENO scheme for hyperbolic conservation laws
- Improvement of third-order WENO-Z scheme at critical points
- Mapped weighted essentially non-oscillatory schemes: Achieving optimal order near critical points
- Resolution of high order WENO schemes for complicated flow structures.
- Efficient implementation of weighted ENO schemes
- A high-order non-oscillatory central scheme with non-staggered grids for hyperbolic conservation laws
- Numerical symmetry-preserving techniques for low-dissipation shock-capturing schemes
- A modified seventh-order WENO scheme with new nonlinear weights for hyperbolic conservation laws
- Robust explicit formulation of weighted compact nonlinear scheme
- An improved weighted essentially non-oscillatory scheme with a new smoothness indicator
- A family of high-order targeted ENO schemes for compressible-fluid simulations
- An improved WENO-Z scheme
- An improved weighted essentially non-oscillatory scheme for hyperbolic conservation laws
- High Order Weighted Essentially Nonoscillatory Schemes for Convection Dominated Problems
- Total-Variation-Diminishing Time Discretizations
- Nonoscillatory Central Schemes for Multidimensional Hyperbolic Conservation Laws
- Numerical Solution of the Riemann Problem for Two-Dimensional Gas Dynamics
- Solution of Two-Dimensional Riemann Problems of Gas Dynamics by Positive Schemes
- An improved weighted essentially non-oscillatory scheme with modified smoothness indicator τ and adaptive index p
- Improvement of third-order finite difference WENO scheme at critical points
- Weak solutions of nonlinear hyperbolic equations and their numerical computation
- Developing high-order weighted compact nonlinear schemes