WENO reconstructionIn the past few decades, the weighted essentially non-oscillatory (WENO) scheme has been widely used in mesh-based methods and has achieved great success, but its application to the smoothed particle hydrodynamics (SPH) is still limited. In this paper, a simple and accurate ...
First, a new fourth-order central WENO scheme, named as WENO4-LC, is devised for shock capturing, and a low dissipative third-order grid-centered upwind scheme is adopted for the smooth region. Second, a discontinuity indicator is extended to the four-point stencil version, which is simpler...
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 ,Chen Yibing ,Qiu Jianxian - Journal of Computational Physics - 2020 2.HYBRID ...
摘要: A new type of finite difference weighted essentially non-oscillatory (WENO) schemes for hyperbolic conservation laws was designed in Zhu and Qiu (J Comput Phys 318:110–121, 2016), in this continuing p关键词:35L65 65M60 Engineering application Fifth order WENO scheme Finite volume ...
We develop a class of smoothness indicators that measure the local smoothness of a function in a stencil, which are based on L1norm. Compared with the classical WENO-JS scheme, the WENO-NIP scheme has more succinct form, and can provide the fifth convergence order in smooth regions, even ...
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 ...
DOI: 10.1007/s10915-006-9111-yJournal of Scientific Computing, Vol. 31, Nos. 1/2, May 2007 (© 2006)A New Smoothness Indicator for the WENO Schemesand Its Effect on the Convergence to Steady StateSolutions ?Shuhai Zhang 1 and Chi-Wang Shu 2,3Received 27 March 2006; accepted (in ...
In this paper, we propose a new type of weighted essentially non-oscillatory (WENO) limiter, which belongs to the class of Hermite WENO (HWENO) limiters, for the Runge-Kutta discontinuous Galerkin (RKDG) methods solving hyperbolic conservation laws. This new HWENO limiter is a modification of...
The effect of grid non-uniformity is taken into consideration by a proper interpolation of the interfacial values. On non-uniform grids, the proposed scheme is much more accurate than the original WENO-JS scheme, which was designed for uniform grids. When the grid is uniform, the resulting ...