Results 11 to 20 of about 3,034,852 (247)
Computers & Fluids, 2017 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
I. Cravero +3 more
semanticscholar +9 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 +2 more sources
A General Improvement in the WENO-Z-Type Schemes [PDF]
Communications in Computational Physics, 2022 A new type of finite volume WENO schemes for hyperbolic problems was devised in [36] by introducing the order-preserving (OP) criterion. In this continuing work, we extend the OP criterion to the WENO-Z-type schemes. We firstly rewrite the formulas of the Z-type weights in a uniform form from a mapping perspective inspired by extensive numerical ...
Ruo Li, Wei Zhong
openaire +4 more sources
New Constructing Method for WENO Schemes
Procedia Engineering, 2013 AbstractA new method for constructing weighted essentially non-oscillatory (WENO) scheme is proposed. The idea of this method is to combine Henrick's mapping function and the idea of improving the accuracy of WENO-Z scheme one-by-one order. The particular advantage of the new constructing method is that it can improve the accuracy of WENO scheme near ...
Shen, Y.Q., Liu, L., Yang, Y., Gao, Z.
core +3 more sources
High-Order Embedded WENO Schemes
, 2017 Embedded WENO schemes are a new family of weighted essentially nonoscillatory schemes that always utilise all adjacent smooth substencils. This results in increased control over the convex combination of lower-order interpolations. We show that more conventional WENO schemes, such as WENO-JS and WENO-Z (Borges et al., J. Comput.
van Lith, B.S. +2 more
core +4 more sources
AIP Advances, 2022 In the present study, a high-order high-resolution energy stable weighted essentially non-oscillatory plus (ESWENO-P) scheme was developed by improving the weighting function in the energy stable weighted essentially non-oscillatory (ESWENO) scheme ...
S. H. Park, O. J. Kwon, S. Lee
doaj +2 more sources
Hermite WENO schemes for Hamilton–Jacobi equations [PDF]
Journal of Computational Physics, 2005 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qiu, JX, Shu, CW
openaire +2 more sources
Efficient WENO Schemes for Nonuniform Grids [PDF]
Journal of Scientific ComputingAbstractA set of arbitrarily high-order WENO schemes for reconstructions on nonuniform grids is presented. These non-linear interpolation methods use simple smoothness indicators with a linear cost with respect to the order, making them easy to implement and computationally efficient.
Marti Raga, Maria del Carmen +3 more
openaire +5 more sources
Stencil selection algorithms for WENO schemes on unstructured meshes [PDF]
Journal of Computational Physics: X, 2019 In this paper, a family of stencil selection algorithms is presented for WENO schemes on unstructured meshes. The associated freedom of stencil selection for unstructured meshes, in the context of WENO schemes present a plethora of various stencil ...
Panagiotis Tsoutsanis
semanticscholar +2 more sources
Central WENO Schemes Through a Global Average Weight [PDF]
Journal of Scientific Computing, 2018 A novel central weighted essentially non-oscillatory (central WENO; CWENO)-type scheme for the construction of high-resolution approximations to discontinuous solutions to hyperbolic systems of conservation laws is presented.
A. Baeza +3 more
semanticscholar +6 more sources