Results 11 to 20 of about 946,299 (211)
WENO Scheme Based on Lax-Wendroff Time Discretization to Solving Hyperbolic Conservation Laws
The research of high accuracy and high resolution schemes have been a hot topic in computational mathematics. According to low resolution and large amount of calculation of the original WENO-JS scheme,we propose a simple new limiter fifth order upwind ...
LI Xing-hua, SUN Yang, AI Xiao-hui
doaj +2 more sources
[Objectives] In this paper, an improved third-order WENO scheme named ‘WENO-N+3’ is constructed by adding a suitable term to the weights of the conventional WENO-N3 scheme.
XU Weizheng, WU Weiguo
doaj +2 more sources
New Constructing Method for WENO Schemes
AbstractA new method for constructing weighted essentially non-oscillatory (WENO) scheme is proposed. The idea of this method is to combine Henrick's mapping function and the idea of improving the accuracy of WENO-Z scheme one-by-one order. The particular advantage of the new constructing method is that it can improve the accuracy of WENO scheme near ...
Shen, Y.Q., Liu, L., Yang, Y., Gao, Z.
core +3 more sources
Application of a Novel High-Order WENO Scheme in LES Simulations
To achieve high-fidelity large eddy simulation (LES) predictions of complex flows while keeping computational costs manageable, this study integrates a high-order WENO-ZQ scheme into the LES framework.
Shuo Zhang +4 more
doaj +2 more sources
Tensor-train WENO scheme for compressible flows [PDF]
In this study, we introduce a tensor-train (TT) finite difference WENO method for solving compressible Euler equations. In a step-by-step manner, the tensorization of the governing equations is demonstrated. We also introduce \emph{LF-cross} and \emph{WENO-cross} methods to compute numerical fluxes and the WENO reconstruction using the cross ...
M. Engin Danis +5 more
openaire +5 more sources
Embedded WENO: A design strategy to improve existing WENO schemes [PDF]
39 pages, 13 ...
Bart S. van Lith +2 more
openaire +4 more sources
The accurate prediction of helicopter rotor blade–vortex interaction (BVI) noise is challenging. This paper presents an implementation of the seventh-order improved weighted essentially non-oscillatory (WENO-Z) scheme for predicting rotor BVI noise using
Yan Sun, Yongjie Shi, Guohua Xu
doaj +1 more source
Convergence of a proposed adaptive WENO scheme for Hamilton-Jacobi equations [PDF]
summary:We study high-order numerical methods for solving Hamilton-Jacobi equations. Firstly, by introducing new clear concise nonlinear weights and improving their convex combination, we develop WENO schemes of Zhu and Qiu (2017).
Han, Wonho, Hong, Unhyok, Kim, Kwangil
core +1 more source
In this paper, a new sixth-order finite difference compact reconstruction unequal-sized weighted essentially nonoscillatory (CRUS-WENO) scheme is designed for solving the nonlinear degenerate parabolic equations on structured meshes.
Liang Li, Yan Zhang, Jun Zhu
doaj +1 more source
A New Mapped WENO Method for Hyperbolic Problems
In this study, a new family of rational mapping functions gRM(ω;k,m,s) is introduced for seventh-order WENO schemes. gRM is a more general family of mapping functions, which includes other mapping functions such as gM and gIM as special cases. The mapped
U S Vevek, Bin Zang, T. H. New
doaj +1 more source

