Results 201 to 210 of about 3,034,852 (247)

Direct WENO scheme for dispersion-type equations

Mathematics and Computers in Simulation, 2023
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Muyassar Ahmat, Jianxian Qiu
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Improvement of the WENO Scheme Smoothness Estimator

38th Fluid Dynamics Conference and Exhibit, 2008
AbstractThis paper has analyzed the weights of the fifth‐order weighted essentially nonoscillatory scheme suggested by Jiang and Shu and a modified smoothness estimator is suggested to improve the accuracy. Using a function of the minimum and maximum of the original smoothness estimators, the new smoothness estimators have smaller variation among them ...
Yiqing Shen, Gecheng Zha
openaire   +1 more source

Local Characteristic Decomposition-Free High-Order Finite Difference WENO Schemes for Hyperbolic Systems Endowed with a Coordinate System of Riemann Invariants

SIAM Journal on Scientific Computing
. The weighted essentially non-oscillatory (WENO) schemes are popular high or- 6 der numerical methods for hyperbolic conservation laws. When dealing with hyperbolic systems, 7 WENO schemes are usually used in cooperation with the local characteristic ...
Xu Ziyao, Chi-Wang Shu
semanticscholar   +1 more source

An Improved WENO-Z+ Scheme

Advances in Applied Mathematics and Mechanics
Summary: The WENO-Z+ scheme [\textit{F. Acker} et al., J. Comput. Phys. 313, 726--753 (2016; Zbl 1349.65260)] with two different versions further raised the nonlinear weights with respect to the nonsmooth or less-smooth substencils, by introducing an additional term into the weights formula of the well-validated WENO-Z scheme. These two WENO-Z+ schemes
Li, Ruo, Zhong, Wei
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Upwind and central WENO schemes

Applied Mathematics and Computation, 2005
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A Spectral Study on the Dissipation and Dispersion of the WENO Schemes

Journal of Scientific Computing, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Feilin Jia, Zhen Gao 0002, Wai-Sun Don
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A new method towards high-order weno schemes on structured and unstructured grids

, 2020
A new method is presented to develop high-order weighted essentially non-oscillatory (WENO) finite-volume schemes on structured and unstructured grids. The one-dimensional reconstruction used in the WENO-ZQ scheme is extended by introducing the concept ...
Dongdong Zhong, C. Sheng
semanticscholar   +1 more source

ENO and WENO Schemes

2016
Abstract The weighted essentially nonoscillatory (WENO) schemes, based on the successful essentially nonoscillatory (ENO) schemes with additional advantages, are a popular class of high-order accurate numerical methods for hyperbolic partial differential equations (PDEs) and other convection-dominated problems.
Y.-T. Zhang, C.-W. Shu
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Weights Design For Maximal Order WENO Schemes

Journal of Scientific Computing, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Francesc Aràndiga, M. Carmen Martí, Pep Mulet   +2 more
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On shock sensors for hybrid compact/WENO schemes

, 2020
We present a systematic framework for the evaluation of shock sensors in high-resolution hybrid compact/WENO algorithms, with the goals of testing robustness and establishing accuracy in wavenumber space, with the intent to go beyond mere case-by-case ...
Guo-yan Zhao, Mingbo Sun, S. Pirozzoli
semanticscholar   +1 more source