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Computers and Fluids, 2023 Due to the high-order accuracy and essentially non-oscillatory (ENO) property, the weighted ENO (WENO) schemes have a wide range of successful applications.
Yiqing Shen, Liu Shengping, Guoxi Ni
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Applied Mathematics and Computation, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Preface to the Focused Issue on WENO Schemes
Communications on Applied Mathematics and Computation, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gottlieb, Sigal +5 more
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Journal of Computational Physics, 2009
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Georges A. Gerolymos +2 more
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Georges A. Gerolymos +2 more
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A Robust Reconstruction for Unstructured WENO Schemes
Journal of Scientific Computing, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yuan Liu 0018, Yong-Tao Zhang
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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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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, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Improvement of the WENO Scheme Smoothness Estimator
38th Fluid Dynamics Conference and Exhibit, 2008AbstractThis 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
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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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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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A Fifth Order Flux Implicit WENO Method
Journal of Scientific Computing, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sigal Gottlieb +2 more
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