Results 181 to 190 of about 1,374,010 (208)
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High-Order Embedded WENO Schemes
2017Embedded 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
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An efficient low‐dissipative WENO filter scheme
International Journal for Numerical Methods in Fluids, 2011SUMMARYThis paper presents a simple and efficient procedure developed for tracing discontinuities in flow fields. Numerical experiments are carried out to test the new sensor coupled with the associated nonlinear WENO dissipation filter developed to suppress the numerical dissipation.
Kang, Lei, Lee, Chun-Hian
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Analysis of WENO Schemes for Full and Global Accuracy
SIAM Journal on Numerical Analysis, 2011Liu, Osher, and Chan introduced weighted essentially nonoscillatory (WENO) reconstructions in [X.-D. Liu, S. Osher, and T. Chan, J. Comput. Phys., 115 (1994), pp. 200–212] to improve the order of accuracy of essentially nonoscillatory (ENO) reconstructions [A. Harten et al., J. Comput. Phys., 71 (1987), pp. 231–303]. In [G.-S. Jiang and C.-W.
Francesc Aràndiga +3 more
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Hermite WENO schemes for Hamilton–Jacobi equations
Journal of Computational Physics, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qiu, JX, Shu, CW
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Analysis of Weno Schemes for Local Shapes
2022The performance of weighted essentially non-oscillatory (WENO) schemes for some kinds of local shapes is investigated. These shapes exist in numerical simulations of various flows and may transform into each other. They are very smooth fragments, arc tops or bottoms, high-frequency oscillations, discontinuities, and smeared discontinuities.
Conghai Wu +4 more
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On a Power WENO Scheme with Improved Accuracy Near Discontinuities
SIAM Journal on Scientific Computing, 2017This paper is devoted to the construction and analysis of a new prediction operator based on weighted essentially nonoscillatory (WENO) interpolation and capable of improving the accuracy near corner discontinuities in the point values and near jump discontinuities in the cell averages.
Sergio Amat +3 more
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International Journal for Numerical Methods in Fluids
AbstractA modified fifth‐order WENO‐Z scheme is proposed by analogy with the non‐normalized weights of the reformulated fifth‐order adaptive order (AO) WENO scheme. We show that if the original fifth‐order WENO‐AO scheme is rewritten as the form of the conventional WENO combination, the resulting non‐normalized weights can be divided into three parts ...
Yize Wang, Kunlei Zhao, Li Yuan
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AbstractA modified fifth‐order WENO‐Z scheme is proposed by analogy with the non‐normalized weights of the reformulated fifth‐order adaptive order (AO) WENO scheme. We show that if the original fifth‐order WENO‐AO scheme is rewritten as the form of the conventional WENO combination, the resulting non‐normalized weights can be divided into three parts ...
Yize Wang, Kunlei Zhao, Li Yuan
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Implementation of WENO schemes in compressible multicomponent flow problems
Journal of Computational Physics, 2006High-order accurate shock-capturing schemes are capable of properly resolving discontinuities with correct wave speeds in single-fluid Riemann problems. However, when different fluids are present, oscillations develop at interfaces. A class of existing interface-capturing methods that suppress these oscillations is based on first- and second-order ...
Eric Johnsen, Tim Colonius
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A sixth order extension of WENO-S scheme
Computational and Applied MathematicszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Conghai Wu +4 more
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On efficiency and accuracy of WENO schemes
2004It is well known that the WENO schemes formally achieve high order of accuracy. On the other hand it was proven that in the presence of discontinuities the numerical methods are subject to a loss of formal accuracy. In this work we analyze the efficiency and accuracy of the numerical schemes on different one-dimensional problems.
Maćešić, Senka, Crnković, Bojan
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