Results 221 to 230 of about 3,034,852 (247)
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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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Fifth-order A-WENO schemes based on the path-conservative central-upwind method
Journal of Computational Physics, 2022Shaoshuai Chu, A. Kurganov, Mingye Na
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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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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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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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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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Improved Seventh-Order WENO Scheme
48th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition, 2010In this paper, an improved seventh-order WENO (WENO-Z7) scheme is suggested by extending the 5th-order WENO scheme of Borges et al[R. Borges, M. Carmona, B. Costa, W. S. Don, An improved weighted essentially non-oscillatory scheme for hyperbolic conservation laws, J. Comput. Phys. 227(2008) 3191-3211].
Yiqing Shen, Gecheng Zha
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Fifth-Order A-WENO Schemes Based on the Adaptive Diffusion Central-Upwind Rankine-Hugoniot Fluxes
Communication on Applied Mathematics and Computation, 2021Bao-Shan Wang +3 more
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New Finite Difference Mapped WENO Schemes with Increasingly High Order of Accuracy
Communication on Applied Mathematics and Computation, 2021Jun Zhu, J. Qiu
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Fast and Optimal WENO Schemes for Degenerate Parabolic Conservation Laws
Journal of Scientific Computing, 2021Roberto Díaz-Adame +2 more
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