In the high-frequency region, the mixed scheme of the linear and WENO schemes is adopted with the smoothness amplification factor, which could capture high-frequency wave efficiently. Spectral analysis and numerous examples are presented to demonstrate the robustness and performance of the hybrid ...
To enhance the performance of the third-order weighted essentially non-oscillatory (WENO) scheme on the four-point stencil, a new hybrid central-type scheme is proposed in this paper. Developments are conducted in the following two aspects. First, a new fourth-order central WENO scheme, named ...
WENO Scheme; Hyperbolic conservation laws; Hybrid; Finite difference framework; 机译:Weno计划;双曲守恒法;混合;有限差分框架; 相似文献 外文文献 中文文献 专利 1.A hybrid Hermite WENO scheme for hyperbolic conservation laws and spring 机译:一种用于双曲保护法的混合Hermite Weno计划 Zhao Zhuang ,Ch...
WENO schemeHyperbolic conservation lawsSmoothness indicatorIn this article, we introduce a class of fifth-order WENO schemes based on Newton interpolation polynomial, termed WENO-NIP schemes. We develop a class of smoothness indicators that measure the local smoothness of a function in a stencil, ...
Following the reconstruction technique in [64], a new HWENO reconstruction on triangular mesh is designed in the current scheme. Combined with the two-stage temporal discretization and second-order time accurate flux function, a third-order compact scheme on unstructured mesh has been constructed. ...
In this paper we propose a new limiter for reconstructed discontinuous Galerkin or hybrid discontinuous Galerkin and finite volume (Hybrid DG/FV) methods for solving Euler equations on two-dimensional unstructured triangular grids. The concept of hierarchical limiter which consists of two steps is intro...
A new adaptive weighted essentially non-oscillatory WENO-$heta$ scheme in the context of finite difference is proposed. Depending on the smoothness of the large stencil used in the reconstruction of the numerical flux, a parameter $heta$ is set adaptively to switch the scheme between a 5th-...
upwind schemeIn this paper, a sixth-order finite difference weighted essentially non-oscillatory (WENO) scheme is developed to approximate the viscosity solution of the Hamilton-Jacobi equations. This new WENO scheme has the same spatial nodes as the classical fifth-order WENO scheme proposed by ...
A new reconstructed Discontinuous Galerkin (rDG) method based on a hybrid least-squares recovery and reconstruction, named P1P2(HLSr), is developed for solving the compressible Euler and Navier-Stokes equations on arbitrary grids. The development of the new hybrid rDG method is motivated by the ...
(WENO) scheme is proposed for reconstructing the fluid state at cell-interfaces, which can avoid strictly pressure or velocity oscillations near material interfaces in the test-case of the advection of an isolated interface, while retaining the convergence order of the WENO scheme in 1D and 2D ...