Scale-invariant multi-resolution alternative WENO scheme for the Euler equations

DOI10.1007/s10915-022-02065-6zbMath1504.65239OpenAlexW4311905895MaRDI QIDQ2111174

Bao-Shan Wang, Peng Li, Wai-Sun Don, Ting-Ting Li

Publication date: 23 December 2022

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-022-02065-6

zbMATH Keywords

Euler equationsgravitationwell-balancedmulti-resolutionscale-invariantENOAWENO

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Hyperbolic conservation laws (35L65) Meteorology and atmospheric physics (86A10) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Finite difference methods for boundary value problems involving PDEs (65N06) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Euler equations (35Q31)

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Cites Work

• Unnamed Item
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• Well-balanced schemes for the Euler equations with gravitation
• Positivity-preserving method for high-order conservative schemes solving compressible Euler equations
• Positivity-preserving high order finite difference WENO schemes for compressible Euler equations
• Well balanced finite volume methods for nearly hydrostatic flows
• High order weighted essentially non-oscillatory WENO-Z schemes for hyperbolic conservation laws
• On Godunov-type methods near low densities
• Development of nonlinear weighted compact schemes with increasingly higher order accuracy
• The numerical simulation of two-dimensional fluid flow with strong shocks
• Efficient implementation of essentially nonoscillatory shock-capturing schemes
• A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws
• Low-dissipative high-order shock-capturing methods using characteristic-based filters
• Weighted essentially non-oscillatory schemes
• Monotonicity preserving weighted essentially non-oscillatory schemes with increasingly high order of accuracy
• Well-balanced finite difference weighted essentially non-oscillatory schemes for the Euler equations with static gravitational fields
• A new hybrid WENO scheme for hyperbolic conservation laws
• High order positivity- and bound-preserving hybrid compact-WENO finite difference scheme for the compressible Euler equations
• Efficient implementation of weighted ENO schemes
• High order well-balanced WENO scheme for the gas dynamics equations under gravitational fields
• A new type of multi-resolution WENO schemes with increasingly higher order of accuracy
• Free-stream preserving finite difference schemes on curvilinear meshes
• Sensitivity parameter-independent characteristic-wise well-balanced finite volume WENO scheme for the Euler equations under gravitational fields
• A low dissipation finite difference nested multi-resolution WENO scheme for Euler/Navier-Stokes equations
• Well-balanced finite volume schemes for nearly steady adiabatic flows
• Well-balanced high-order finite difference methods for systems of balance laws
• Simple high order well-balanced finite difference WENO schemes for the Euler equations under gravitational fields
• An improved WENO-Z+ scheme for solving hyperbolic conservation laws
• A novel and robust scale-invariant WENO scheme for hyperbolic conservation laws
• Affine-invariant WENO weights and operator
• Seventh and ninth orders characteristic-wise alternative WENO finite difference schemes for hyperbolic conservation laws
• A new fifth-order finite difference well-balanced multi-resolution WENO scheme for solving shallow water equations
• A modified fifth order finite difference Hermite WENO scheme for hyperbolic conservation laws
• A new type of multi-resolution WENO schemes with increasingly higher order of accuracy on triangular meshes
• A new type of third-order finite volume multi-resolution WENO schemes on tetrahedral meshes
• A new fifth-order alternative finite difference multi-resolution WENO scheme for solving compressible flow
• Well-balanced high-order finite volume methods for systems of balance laws
• An improved fifth order alternative WENO-Z finite difference scheme for hyperbolic conservation laws
• High-order well-balanced finite volume schemes for the Euler equations with gravitation
• Finite difference Hermite WENO schemes for hyperbolic conservation laws
• A spectral study on the dissipation and dispersion of the WENO schemes
• High order finite volume WENO schemes for the Euler equations under gravitational fields
• An improved weighted essentially non-oscillatory scheme for hyperbolic conservation laws
• Convergence to steady-state solutions of the new type of high-order multi-resolution WENO schemes: a numerical study
• Arbitrary Order Finite Volume Well-Balanced Schemes for the Euler Equations with Gravity
• Fifth-Order A-WENO Finite-Difference Schemes Based on a New Adaptive Diffusion Central Numerical Flux
• A Second Order Well-Balanced Finite Volume Scheme for Euler Equations with Gravity
• An Alternative Formulation of Finite Difference Weighted ENO Schemes with Lax--Wendroff Time Discretization for Conservation Laws
• Weak solutions of nonlinear hyperbolic equations and their numerical computation
• Essentially non-oscillatory and weighted essentially non-oscillatory schemes
• Developing high-order weighted compact nonlinear schemes