Results 41 to 50 of about 3,034,852 (247)
On the construction and properties of WENO schemes order five, seven, nine, eleven and thirteen. Part 1. Construction and stability [PDF]
Компьютерные исследования и моделирование, 2016 Currently, different nonlinear numerical schemes of the spatial approximation are used in numerical simulation of boundary value problems for hyperbolic systems of partial differential equations (e. g.
Nikolay Mikhaylovitch Evstigneev
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A New Entropy Stable Finite Difference Scheme for Hyperbolic Systems of Conservation Laws
Mathematics, 2023 The hyperbolic problem has a unique entropy solution, which maintains the entropy inequality. As such, people hope that the numerical results should maintain the discrete entropy inequalities accordingly. In view of this, people tend to construct entropy
Zhizhuang Zhang +4 more
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Modelling chemical advection during magma ascent [PDF]
Geoscientific Model DevelopmentModelling magma transport requires robust numerical schemes for chemical advection. Current numerical schemes vary in their ability to be mass conservative, computationally efficient, and accurate.
H. Dominguez +3 more
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Journal of Harbin University of Science and Technology, 2020 With the continuous deepening of scientific research, the current calculation schemes is still unable to meet the requirements of high accuracy, high resolution, high efficiency and high stability for numerical simulation of fluid mechanics.
SUN Yang, LI Xinghua, AI Xiaohui
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High order modeling of shocks and disturbances in compressible flows using WENO scheme [PDF]
مجله مدل سازی در مهندسی, 2000 Two new higher order version of WENO schemes are introduces and problems are solved to investigate problems containing shocks and disturbances in compressible flow.
Mohamad Salehabadi +2 more
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Well-balanced finite volume multi-resolution schemes for solving the Ripa models
Advances in Mechanical Engineering, 2021 In this article, fifth order well-balanced finite volume multi-resolution weighted essentially non-oscillatory (FV MR-WENO) schemes are constructed for solving one-dimensional and two-dimensional Ripa models. The Ripa system generalizes the shallow water
Asad Rehman +3 more
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A new type of third-order finite volume multi-resolution WENO schemes on tetrahedral meshes
Journal of Computational Physics, 2020 In this continuing paper of [J. Comput. Phys., 375 (2018), 659-683; J. Comput. Phys., 392 (2019), 19-33], we design a new third-order finite volume multi-resolution weighted essentially non-oscillatory (WENO) scheme for solving hyperbolic conservation ...
Jun Zhu, Chi-Wang Shu
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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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Three-level order-adaptive weighted essentially non-oscillatory schemes
Results in Applied Mathematics, 2021 Classical fifth-order weighted essentially non-oscillatory (WENO) schemes are based on reconstructions from three consecutive second-order polynomials.
A. Arun Govind Neelan +2 more
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Journal of Applied Mathematics, 2014 Fifth-order mapped semi-Lagrangian weighted essentially nonoscillatory (WENO) methods at certain smooth extrema are developed in this study. The schemes contain the mapped semi-Lagrangian finite volume (M-SL-FV) WENO 5 method and the mapped compact semi ...
Lang Wu +3 more
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