New finite difference unequal-sized Hermite WENO scheme for Navier-Stokes equations

DOI10.1016/j.camwa.2022.10.017zbMath1504.65170OpenAlexW4309192310MaRDI QIDQ2107204

Publication date: 1 December 2022

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2022.10.017

zbMATH Keywords

Navier-Stokes equations unequal-sized spatial stencil finite difference unequal-sized Hermite WENO scheme high-order reconstruction procedure viscous example

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite difference methods applied to problems in fluid mechanics (76M20) Navier-Stokes equations (35Q30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Cites Work

Unnamed Item
Finite difference Hermite WENO schemes for conservation laws. II: An alternative approach
Minimizing errors from linear and nonlinear weights of WENO scheme for broadband applications with shock waves
Spectral properties of high-order residual-based compact schemes for unsteady compressible flows
WENO schemes on arbitrary unstructured meshes for laminar, transitional and turbulent flows
High order weighted essentially non-oscillatory WENO-Z 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
Hermite WENO limiting for multi-moment finite-volume methods using the ADER-DT time discretization for 1-D systems of conservation laws
An accurate and robust finite volume scheme based on the spline interpolation for solving the Euler and Navier-Stokes equations on non-uniform curvilinear grids
Hierarchical multi-dimensional limiting strategy for correction procedure via reconstruction
A HWENO reconstruction based high-order compact gas-kinetic scheme on unstructured mesh
Direct reconstruction method for discontinuous Galerkin methods on higher-order mixed-curved meshes. II: Surface integration
A Hermite WENO scheme with artificial linear weights for hyperbolic conservation laws
Fifth-order Hermite targeted essentially non-oscillatory schemes for hyperbolic conservation laws
Assessment of high-resolution methods for numerical simulations of compressible turbulence with shock waves
Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method. II: Two dimensional case
A Runge-Kutta discontinuous Galerkin method for viscous flow equations
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
Efficient implementation of essentially nonoscillatory shock-capturing schemes. II
Weighted essentially non-oscillatory schemes
Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method: One-dimensional case.
Seventh order Hermite WENO scheme for hyperbolic conservation laws
A Hermite WENO reconstruction for fourth order temporal accurate schemes based on the GRP solver for hyperbolic conservation laws
On positivity-preserving high order discontinuous Galerkin schemes for compressible Navier-Stokes equations
Grid convergence of high order methods for multiscale complex unsteady viscous compressible flows.
Efficient implementation of weighted ENO schemes
A compact fourth-order gas-kinetic scheme for the Euler and Navier-Stokes equations
A robust high order alternative WENO scheme for the five-equation model
High order finite difference alternative WENO scheme for multi-component flows
A low dissipation finite difference nested multi-resolution WENO scheme for Euler/Navier-Stokes equations
Positivity-preserving high order finite volume hybrid Hermite WENO schemes for compressible Navier-Stokes equations
Multi-resolution HWENO schemes for hyperbolic conservation laws
A modified fifth order finite difference Hermite WENO scheme for hyperbolic conservation laws
Direct reconstruction method for discontinuous Galerkin methods on higher-order mixed-curved meshes. I: Volume integration
A hybrid Hermite WENO scheme for hyperbolic conservation laws
Finite difference Hermite WENO schemes for hyperbolic conservation laws
Positivity-preserving high order finite volume HWENO schemes for compressible Euler equations
An improved weighted essentially non-oscillatory scheme for hyperbolic conservation laws
A class of the fourth order finite volume Hermite weighted essentially non-oscillatory schemes
Performance of very-high-order upwind schemes for DNS of compressible wall-turbulence
High-Order WENO Schemes for Hamilton--Jacobi Equations on Triangular Meshes
High‐order CFD methods: current status and perspective
A third‐order implicit discontinuous Galerkin method based on a Hermite WENO reconstruction for time‐accurate solution of the compressible Navier–Stokes equations
Two-stage fourth-order gas-kinetic scheme for three-dimensional Euler and Navier-Stokes solutions
Weak solutions of nonlinear hyperbolic equations and their numerical computation
Evaluation of TVD high-resolution schemes for unsteady viscous shocked flows

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