A hybrid Hermite WENO scheme for hyperbolic conservation laws
From MaRDI portal
Publication:2223220
DOI10.1016/j.jcp.2019.109175zbMath1453.65264arXiv1906.09462OpenAlexW2952123146WikidataQ126567751 ScholiaQ126567751MaRDI QIDQ2223220
Zhuang Zhao, Yibing Chen, Jianxian Qiu
Publication date: 28 January 2021
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1906.09462
Finite volume methods applied to problems in fluid mechanics (76M12) Hyperbolic conservation laws (35L65) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)
Related Items
Fifth-order Hermite targeted essentially non-oscillatory schemes for hyperbolic conservation laws ⋮ Positivity-preserving high order finite volume hybrid Hermite WENO schemes for compressible Navier-Stokes equations ⋮ Multi-resolution HWENO schemes for hyperbolic conservation laws ⋮ High order residual distribution conservative finite difference HWENO scheme for steady state problems ⋮ High Order Finite Difference Hermite WENO Fixed-Point Fast Sweeping Method for Static Hamilton-Jacobi Equations ⋮ Hybrid Hermite TENO scheme with a simple smoothness indicator for compressible flow simulations ⋮ A hybrid WENO scheme for steady-state simulations of Euler equations ⋮ A sixth-order finite difference HWENO scheme for nonlinear degenerate parabolic equation ⋮ Moment-Based Multi-Resolution HWENO Scheme for Hyperbolic Conservation Laws ⋮ A robust fifth order finite difference Hermite WENO scheme for compressible Euler equations ⋮ A Hybrid WENO Scheme for Steady Euler Equations in Curved Geometries on Cartesian Grids ⋮ An oscillation-free Hermite WENO scheme for hyperbolic conservation laws ⋮ Least-squares neural network (LSNN) method for scalar nonlinear hyperbolic conservation laws: discrete divergence operator ⋮ Provably convergent Newton-Raphson methods for recovering primitive variables with applications to physical-constraint-preserving Hermite WENO schemes for relativistic hydrodynamics ⋮ A new hybrid WENO scheme with the high-frequency region for hyperbolic conservation laws ⋮ A modified fifth order finite difference Hermite WENO scheme for hyperbolic conservation laws ⋮ Arbitrary high order central non-oscillatory schemes on mixed-element unstructured meshes ⋮ One dimensional hybrid WENO-AO method using improved troubled cell indicator based on extreme point ⋮ A hybrid kinetic WGVC-WENO scheme for compressible flows ⋮ A Conservative Semi-Lagrangian Hybrid Hermite WENO Scheme for Linear Transport Equations and the Nonlinear Vlasov--Poisson System ⋮ A Hermite WENO Method with Modified Ghost Fluid Method for Compressible Two-Medium Flow Problems ⋮ A Hermite WENO scheme with artificial linear weights for hyperbolic conservation laws ⋮ High-order variable index weighted essentially non-oscillatory scheme for hyperbolic conservation law ⋮ New finite difference unequal-sized Hermite WENO scheme for Navier-Stokes equations
Cites Work
- Unnamed Item
- Unnamed Item
- Finite difference Hermite WENO schemes for conservation laws. II: An alternative approach
- An \(h\)-adaptive RKDG method with troubled-cell indicator for two-dimensional hyperbolic conservation laws
- Fifth order multi-moment WENO schemes for hyperbolic conservation laws
- A new fifth order finite difference WENO scheme for solving hyperbolic conservation laws
- High-order central Hermite WENO schemes: dimension-by-dimension moment-based reconstructions
- High-order central Hermite WENO schemes on staggered meshes for hyperbolic conservation laws
- Directly solving the Hamilton-Jacobi equations by Hermite WENO schemes
- Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method. II: Two dimensional case
- High order hybrid central-WENO finite difference scheme for conservation laws
- Multi-domain hybrid spectral-WENO methods for hyperbolic conservation laws
- A unified framework for the construction of one-step finite volume and discontinuous Galerkin schemes on unstructured meshes
- High resolution schemes for hyperbolic conservation laws
- The numerical simulation of two-dimensional fluid flow with strong shocks
- Uniformly high order accurate essentially non-oscillatory schemes. III
- Efficient implementation of essentially nonoscillatory shock-capturing schemes
- TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. III: One-dimensional systems
- Weighted essentially non-oscillatory schemes on triangular meshes
- The Runge-Kutta discontinuous Galerkin method for conservation laws. I: Multidimensional systems
- Weighted essentially non-oscillatory schemes
- Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method: One-dimensional case.
- Shock detection and limiting with discontinuous Galerkin methods for hyperbolic conservation laws.
- Hybrid tuned center-difference-WENO method for large eddy simulations in the presence of strong shocks.
- Conservative hybrid compact-WENO schemes for shock-turbulence interaction
- Seventh order Hermite WENO scheme for hyperbolic conservation laws
- A new type of finite volume WENO schemes for hyperbolic conservation laws
- A new hybrid WENO scheme for hyperbolic conservation laws
- Efficient implementation of weighted ENO schemes
- Hybrid weighted essentially non-oscillatory schemes with different indicators
- Finite difference Hermite WENO schemes for hyperbolic conservation laws
- A hybrid LDG-HWENO scheme for KdV-type equations
- A Hermite WENO-based limiter for discontinuous Galerkin method on unstructured grids
- Positivity-preserving high order finite volume HWENO schemes for compressible Euler equations
- A Hermite upwind WENO scheme for solving hyperbolic conservation laws
- A class of the fourth order finite volume Hermite weighted essentially non-oscillatory schemes
- A Comparison of the Performance of Limiters for Runge-Kutta Discontinuous Galerkin Methods
- The Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws. IV: The Multidimensional Case
- High Order Weighted Essentially Nonoscillatory Schemes for Convection Dominated Problems
- TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework
- Central WENO schemes for hyperbolic systems of conservation laws
- Hybrid WENO Schemes with Lax-Wendroff Type Time Discretization
- Runge-Kutta Discontinuous Galerkin Method with a Simple and Compact Hermite WENO Limiter on Unstructured Meshes
- A Comparison of Troubled-Cell Indicators for Runge--Kutta Discontinuous Galerkin Methods Using Weighted Essentially Nonoscillatory Limiters
- A technique of treating negative weights in WENO schemes
