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 ...
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, ...
(3.7)These explicit formulae also show that the modified smoothness indicatorsare non-negative.In the following, we denote the WENO scheme with the new smooth-ness indicator (3.7) as ZSWENO and the WENO scheme coupled with themapping function (2.10) and the new smooth indicator (3.7) as ...
This new WENO scheme has the same spatial nodes as the classical fifth-order WENO scheme proposed by Jiang and Peng [Weighted ENO schemes for Hamilton-Jacobi equations, SIAM. J. Sci. Comput. 21 (2000), pp. 2126-2143] but can be as high as sixth-order accurate in smooth region while ...
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-...
Institution: The College of New Jersey (TCNJ) An easy to use immersed boundary method in 2D, with full implementations in MATLAB and Python that contains over 75 built-in examples, including multiple options for fiber-structure models and advection-diffusion, Boussinesq approximations, and/or artifi...
High-order accurate weighted essentially nonoscillatory (WENO) schemes have recently been developed for finite difference and finite volume methods both in structured and in unstructured meshes. A key idea in WENO scheme is a linear combination of lower order fluxes or reconstructions to obtain a hig...
It is expected that the new scheme can be efficient, robust as the AUSM type family with the exact Riemann solver. Several benchmark test problems, including the Ransom's faucet problem [32], 1D air–water shock tube problems, a 2D shock–gas bubble and high-speed water droplet impact ...