Results 21 to 30 of about 946,299 (211)
A high order compact scheme for hypersonic aerothermodynamics [PDF]
, 2010 A novel high order compact scheme for solving the compressible Navier-Stokes equations has been developed. The scheme is an extension of a method originally proposed for solving the Euler equations, and combines several techniques for the solution of ...
Emerson, David +2 more
core +3 more sources
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
doaj +1 more source
Computers & Fluids, 2018 This work is dedicated to the development and comparison of WENO-type reconstructions for hyperbolic systems of balance laws. We are particularly interested in high order shock capturing non-oscillatory schemes with uniform accuracy within each cell and low spurious effects.
I. Cravero +3 more
openaire +5 more sources
Fractal and Fractional, 2022 This paper designs a new finite difference compact reconstruction unequal-sized weighted essentially nonoscillatory scheme (CRUS-WENO) for solving fractional differential equations containing the fractional Laplacian operator.
Yan Zhang, Jun Zhu
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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
openaire +3 more sources
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
openaire +3 more sources
A bounded upwinding scheme for computing convection-dominated transport problems [PDF]
, 2012 A practical high resolution upwind differencing scheme for the numerical solution of convection-dominated transport problems is presented. The scheme is based on TVD and CBC stability criteria and is implemented in the context of the finite difference ...
McKee, Sean +6 more
core +3 more sources
Simulations of Compressible, Diffusive, Reactive Flows with Detailed Chemistry Using a High-Order Hybrid WENO-CD Scheme [PDF]
, 2012 A hybrid weighted essentially non-oscillatory (WENO)/centered-difference (CD) numerical method, with low numerical dissipation, high-order shock-capturing, and structured adaptive mesh refinement (SAMR), has been developed for the direct numerical ...
Ziegler, John Lewis (Jack)
core +1 more source
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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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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