Development of A Hermite Weighted Compact Nonlinear Scheme based on the Two-Stage Fourth-Order Temporal Accurate Framework

04/19/2022
by   Huaibao Zhang, et al.
0

Improved five-point low dissipation nonlinear schemes are proposed in this paper within the framework of weighted compact nonlinear schemes (WCNSs) <cit.>. Particularly we follow the work of Li and Du <cit.> on the two-stage fourth-order temporal accurate discretization scheme, which is developed based on the Lax-Wendroff method.

READ FULL TEXT
research
05/01/2023

Efficient high-order Gradient-based Reconstruction for compressible flows

This paper extends the gradient-based reconstruction approach of Chamart...
research
01/05/2022

Sixth order weighted essentially non-oscillatory schemes with Z-type nonlinear weighting procedure for nonlinear degenerate parabolic equations

In this paper we develop new nonlinear weights of sixth order finite dif...
research
07/02/2020

An order-adaptive compact approximation Taylor method for systems of conservation laws

We present a new family of high-order shock-capturing finite difference ...
research
02/01/2020

A Kernel-Based Explicit Unconditionally Stable Scheme for Hamilton-Jacobi Equations on Nonuniform Meshes

In <cit.>, the authors developed a class of high-order numerical schemes...
research
06/04/2020

Continuation Newton method with the trust-region time-stepping scheme

For the problem of nonlinear equations, the homotopy methods (continuati...
research
05/18/2021

High order finite difference Hermite WENO fixed-point fast sweeping method for static Hamilton-Jacobi equations

In this paper, we combine the nonlinear HWENO reconstruction in <cit.> a...
research
09/19/2023

Nonlinear dynamic analysis of shear- and torsion-free rods using isogeometric discretization, outlier removal and robust time integration

In this paper, we present a discrete formulation of nonlinear shear- and...

Please sign up or login with your details

Forgot password? Click here to reset