Results 21 to 30 of about 3,034,852 (247)
Embedded WENO : a design method to improve existing WENO schemes [PDF]
, 2015 Embedded WENO methods utilize all adjacent smooth substencils to construct a desirable interpolation. Conventional WENO schemes underuse this possibility close to large gradients or discontinuities. Embedded methods based on the WENO schemes of Jiang and Shu [1] and on the WENO-Z scheme of Borges et al. [2] are explicitly constructed.
Lith, van, B.S. +2 more
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A Seventh-order Perturbational Weighted Essentially Non-oscillatory Scheme for Hyperbolic Conservation Laws [PDF]
Alfarama Journal of Basic & Applied Sciences, 2023 This study presents a modified seventh-order weighted essentially non-oscillatory (WENO) finite difference scheme based on the numerical perturbation method established in [1].
Amr Abdalla +2 more
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An Improved Component-Wise WENO-NIP Scheme for Euler System
Mathematics, 2022 As is well known, due to the spectral decomposition of the Jacobian matrix, the WENO reconstructions in the characteristic-wise fashion (abbreviated as CH-WENO) need much higher computational cost and more complicated implementation than their ...
Ruo Li, Wei Zhong
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New Third-Order Finite Volume Unequal-Sized WENO Lagrangian Schemes for Solving Euler Equations
Mathematics, 2023 In this paper, new third-order finite volume unequal-sized weighted essentially non-oscillatory (US-WENO) Lagrangian schemes are designed to solve Euler equations in two and three dimensions. The spatial reconstruction procedures are implemented by using
Yan Tan, Hui Lv, Jun Zhu
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A New Mapped WENO Method for Hyperbolic Problems
Aerospace, 2022 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
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Aerospace, 2022 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
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Fully discrete WENO with double entropy condition for hyperbolic conservation laws
Engineering Applications of Computational Fluid Mechanics, 2023 This paper put forward a new fully discrete scheme construction method – double entropy condition solution formula method. With that, we turn the state-of-the-art semi-discrete WENO + RK scheme into a fully discrete scheme, which is named as Full-WENO. A
Haitao Dong, Tong Zhou, Fujun Liu
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New Weighting Strategies for Weno Schemes
, 2023 In this article, we propose a modified convex combination of the polynomial reconstructions of odd-order WENO schemes to maintain the central substencil prevalence over the lateral ones in all parts of the solution. New "centered" versions of the classical WENO-Z and its less dissipative counterpart, WENO-Z+, are defined through very simple ...
Daniel Barreto +3 more
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Mathematics, 2020 Adaptive order weighted essentially non-oscillatory scheme (WENO-AO(5,3)) has increased the computational cost and complexity of the classic fifth-order WENO scheme by introducing a complicated smoothness indicator for fifth-order linear reconstruction ...
Omer Musa, Guoping Huang, Mingsheng Wang
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WENO schemes on arbitrary mixed-element unstructured meshes in three space dimensions [PDF]
, 2010 The paper extends weighted essentially non-oscillatory (WENO) methods to three dimensional mixed-element unstructured meshes, comprising tetrahedral, hexahedral, prismatic and pyramidal elements. Numerical results illustrate the convergence rates and non-
Tsoutsanis, Panagiotis +2 more
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