An efficient three-level weighted essentially non-oscillatory scheme for hyperbolic equations
DOI10.1007/s40314-023-02214-zOpenAlexW4319227715MaRDI QIDQ2685224
Manuel A. Diaz, A. Arun Govind Neelan, R. Jishnu Chandran, Raimund Bürger
Publication date: 20 February 2023
Published in: Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40314-023-02214-z
Shock waves and blast waves in fluid mechanics (76L05) Gas dynamics (general theory) (76N15) 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) Hydro- and aero-acoustics (76Q05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Initial-boundary value problems for first-order hyperbolic systems (35L50) Supersonic flows (76J20) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Euler equations (35Q31) Finite volume methods for boundary value problems involving PDEs (65N08) Initial-boundary value problems for systems of nonlinear first-order PDEs (35F61)
Uses Software
Cites Work
- Handbook of numerical methods for hyperbolic problems. Basic and fundamental issues
- Optimal time advancing dispersion relation preserving schemes
- A method for improving the performance of the WENO5 scheme near discontinuities
- The numerical simulation of two-dimensional fluid flow with strong shocks
- Efficient implementation of essentially nonoscillatory shock-capturing schemes. II
- A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws
- Weighted essentially non-oscillatory schemes
- A well-behaved TVD limiter for high-resolution calculations of unsteady flow
- Improvement of weighted essentially non-oscillatory schemes near discontinuities
- On the proper setup of the double Mach reflection as a test case for the resolution of gas dynamics codes
- An improved non-linear weights for seventh-order weighted essentially non-oscillatory scheme
- Navier-Stokes simulation of shock-heavy bubble interaction: comparison of upwind and WENO schemes
- Embedded WENO: a design strategy to improve existing WENO schemes
- An adaptive characteristic-wise reconstruction WENO-Z scheme for gas dynamic Euler equations
- A new hybrid WENO scheme for hyperbolic conservation laws
- Mapped weighted essentially non-oscillatory schemes: Achieving optimal order near critical points
- Efficient implementation of weighted ENO schemes
- Simple smoothness indicator and multi-level adaptive order WENO scheme for hyperbolic conservation laws
- Three-level order-adaptive weighted essentially non-oscillatory schemes
- A new discontinuity indicator for hybrid WENO schemes
- Conservative characteristic finite difference method based on ENO and WENO interpolation for 2D convection-diffusion equations
- A cell-centered Lagrangian discontinuous Galerkin method using WENO and HWENO limiter for compressible Euler equations in two dimensions
- Improved weighted ENO scheme based on parameters involved in nonlinear weights
- An improved weighted essentially non-oscillatory scheme for hyperbolic conservation laws
- Analysis of WENO Schemes for Full and Global Accuracy
- High Order Weighted Essentially Nonoscillatory Schemes for Convection Dominated Problems
- Riemann Solvers and Numerical Methods for Fluid Dynamics
- Solution of Two-Dimensional Riemann Problems of Gas Dynamics by Positive Schemes
- Finite Volume Methods for Hyperbolic Problems
- Numerical Methods for Conservation Laws
- Essentially non-oscillatory and weighted essentially non-oscillatory schemes
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