Results 1 to 10 of about 194 (70)
Some aspects in Kelvin-Helmholtz instability with and without Boussinesq approximation [PDF]
INCAS Bulletin, 2021 The topic of this paper is the Kelvin-Helmholtz instability, a phenomenon which occurs on the interface of a stratified fluid, in the presence of a parallel shear flow, when there is a velocity and density difference across the interface of two adjacent ...
Ilinca-Laura BURDULEA, Alina BOGOI
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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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Towards Building the OP-Mapped WENO Schemes: A General Methodology
Mathematical and Computational Applications, 2021 A serious and ubiquitous issue in existing mapped WENO schemes is that most of them can hardly preserve high resolutions, but in the meantime prevent spurious oscillations in the solving of hyperbolic conservation laws with long output times.
Ruo Li, Wei Zhong
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Improvement of the WENO-NIP Scheme for Hyperbolic Conservation Laws
Axioms, 2022 The WENO-NIP scheme was obtained by developing a class of L1-norm smoothness indicators based on Newton interpolation polynomial. It recovers the optimal convergence order in smooth regions regardless of critical points and achieves better resolution ...
Ruo Li, Wei Zhong
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An Improved WENO-Z Scheme for Hyperbolic Conservation Laws with New Global Smoothness Indicator
Mathematics, 2023 The fifth-order WENO-Z scheme proposed by Borges et al., using a linear combination of low-order smoothness indicators, is designed to provide a low numerical dissipation to solve hyperbolic conservation laws, while the power q in the framework of WENO-Z
Shuang Han, Mingjun Li
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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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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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Journal of Mathematics, 2022 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
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WENO Scheme Based on Lax-Wendroff Time Discretization to Solving Hyperbolic Conservation Laws
Journal of Harbin University of Science and Technology, 2017 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
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