Results 31 to 40 of about 2,892 (210)

High order modeling of shocks and disturbances in compressible flows using WENO scheme [PDF]

open access: yesمجله 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
doaj   +1 more source

New Third-Order Finite Volume Unequal-Sized WENO Lagrangian Schemes for Solving Euler Equations

open access: yesMathematics, 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
doaj   +1 more source

New Weighting Strategies for Weno Schemes

open access: yes, 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
openaire   +3 more sources

Locally order-preserving mapping for WENO methods

open access: yesJournal of Computational and Applied Mathematics, 2023
28 pages, 22 figures, 5 ...
Ruo Li, Wei Zhong
openaire   +4 more sources

High order weighted essentially nonoscillatory WENO-eta schemes for hyperbolic conservation laws [PDF]

open access: yes, 2014
In [8], the authors have designed a new fifth-order WENO finite-difference scheme (named WENO-eta) by introducing a new local smoothness indicator which is defined based on the Lagrangian interpolation polynomials and has a more succinct form compared ...
Fan P   +1 more
core   +1 more source

Modelling shock-induced instabilities, transition and turbulent mixing using high-order methods [PDF]

open access: yes, 2008
High-order numerical methods have been considered and implemented in order to assess their applicability in a range of complex ows centering on shockinduced turbulent mixing.
Mosedale, Andrew Daniel
core   +2 more sources

A Modified Adaptive Improved Mapped WENO Method [PDF]

open access: yesCommunications in Computational Physics, 2021
31 ...
Ruo Li, Wei Zhong
openaire   +2 more sources

A New Compact WENO5 Scheme

open access: yesJournal 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
doaj   +1 more source

Exact Nonlinear Spectral Analysis of Nonsmooth WENO-JS Solutions

open access: yesJournal of Applied Mathematics, 2023
The fifth-order accurate Weighted Essentially Nonoscillatory space discretization developed by Jiang and Shu (WENO-JS) is studied theoretically. An exact Nonlinear Spectral Method (NSM) is developed based on an innovative yet simple methodology.
Tamer H. M. A. Kasem
doaj   +1 more source

A brief review on the convergence to steady state solutions of Euler equations with high-order WENO schemes

open access: yesAdvances in Aerodynamics, 2019
Weighted essentially non-oscillatory (WENO) schemes are a class of high-order shock capturing schemes which have been designed and applied to solve many fluid dynamics problems to study the detailed flow structures and their evolutions.
Shuhai Zhang, Jun Zhu, Chi-Wang Shu
doaj   +1 more source

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