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Order of Accuracy of Extended Weno Schemes
2005Extended finite difference WENO schemes for hyperbolic balance laws with spatially varying flux and geometrical source term were developed by the authors. In these schemes high order ENO and WENO reconstruction for flux and source term characteristicwise components are used, therefore schemes give high resolution results. In this paper these high order
Črnjarić, Nelida +2 more
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Multiresolution scheme based on WENO
Communications in Nonlinear Science and Numerical Simulation, 1997zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lian, Yongsheng, Wang, Ruquan
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Hybrid Cbsqi-Weno Schemes for Convection Diffusion Problems
International Journal for Numerical Methods in Fluids, 2023ABSTRACTThe B‐spline Quasi‐Interpolation (BSQI) based numerical scheme is a successful method for obtaining the solution to partial differential equations under sufficient regularity conditions. However, it can lead to instability and spurious oscillations in the numerical solution when high gradients or discontinuities are present.
Barik, Prasanta Kumar +3 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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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 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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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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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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