High Order Weighted Essentially Nonoscillatory Schemes for Convection Dominated Problems

Chi-Wang Shu

doi:10.1137/070679065

High Order Weighted Essentially Nonoscillatory Schemes for Convection Dominated Problems

SIAM Review ◽

10.1137/070679065 ◽

2009 ◽

Vol 51 (1) ◽

pp. 82-126 ◽

Cited By ~ 435

Author(s):

Chi-Wang Shu

Keyword(s):

High Order ◽

Weighted Essentially Nonoscillatory ◽

Convection Dominated ◽

Essentially Nonoscillatory

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High-order weighted essentially nonoscillatory finite-difference formulation of the lattice Boltzmann method in generalized curvilinear coordinates

Physical Review E ◽

10.1103/physreve.95.023314 ◽

2017 ◽

Vol 95 (2) ◽

Cited By ~ 12

Author(s):

Kazem Hejranfar ◽

Mohammad Hossein Saadat ◽

Sina Taheri

Keyword(s):

Finite Difference ◽

Lattice Boltzmann Method ◽

Lattice Boltzmann ◽

High Order ◽

Curvilinear Coordinates ◽

Weighted Essentially Nonoscillatory ◽

Finite Difference Formulation ◽

Boltzmann Method ◽

Essentially Nonoscillatory

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A High Order Finite Difference Weighted Essentially NonOscillatory Schemes with a Kernel-Based Constrained Transport Method for Ideal Magnetohydrodynamics

SIAM Journal on Scientific Computing ◽

10.1137/19m1278958 ◽

2021 ◽

Vol 43 (3) ◽

pp. B598-B622

Author(s):

Firat Cakir ◽

Andrew Christlieb ◽

Yan Jiang

Keyword(s):

Finite Difference ◽

High Order ◽

Weighted Essentially Nonoscillatory ◽

Ideal Magnetohydrodynamics ◽

High Order Finite Difference ◽

Constrained Transport ◽

Transport Method ◽

Essentially Nonoscillatory

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High-order simulation of polymorphic crystallization using weighted essentially nonoscillatory methods

AIChE Journal ◽

10.1002/aic.11644 ◽

2009 ◽

Vol 55 (1) ◽

pp. 122-131 ◽

Cited By ~ 14

Author(s):

Martin Wijaya Hermanto ◽

Richard D. Braatz ◽

Min-Sen Chiu

Keyword(s):

High Order ◽

Weighted Essentially Nonoscillatory ◽

Essentially Nonoscillatory

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Maximum-principle-satisfying High Order Finite Volume Weighted Essentially Nonoscillatory Schemes for Convection-diffusion Equations

SIAM Journal on Scientific Computing ◽

10.1137/110839230 ◽

2012 ◽

Vol 34 (2) ◽

pp. A627-A658 ◽

Cited By ~ 16

Author(s):

Xiangxiong Zhang ◽

Yuanyuan Liu ◽

Chi-Wang Shu

Keyword(s):

Maximum Principle ◽

Finite Volume ◽

High Order ◽

Diffusion Equations ◽

Convection Diffusion ◽

Weighted Essentially Nonoscillatory ◽

Essentially Nonoscillatory

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Numerical viscosity and resolution of high-order weighted essentially nonoscillatory schemes for compressible flows with high Reynolds numbers

Physical Review E ◽

10.1103/physreve.68.046709 ◽

2003 ◽

Vol 68 (4) ◽

Cited By ~ 35

Author(s):

Yong-Tao Zhang ◽

Jing Shi ◽

Chi-Wang Shu ◽

Ye Zhou

Keyword(s):

Compressible Flows ◽

Reynolds Numbers ◽

High Order ◽

Weighted Essentially Nonoscillatory ◽

Numerical Viscosity ◽

High Reynolds Numbers ◽

High Reynolds ◽

Essentially Nonoscillatory

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Gravitational waveforms from binary neutron star mergers with high-order weighted-essentially-nonoscillatory schemes in numerical relativity

Physical Review D ◽

10.1103/physrevd.94.064062 ◽

2016 ◽

Vol 94 (6) ◽

Cited By ~ 33

Author(s):

Sebastiano Bernuzzi ◽

Tim Dietrich

Keyword(s):

Neutron Star ◽

Numerical Relativity ◽

High Order ◽

Weighted Essentially Nonoscillatory ◽

Binary Neutron Star ◽

Essentially Nonoscillatory

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Convergence of High Order Finite Volume Weighted Essentially Nonoscillatory Scheme and Discontinuous Galerkin Method for Nonconvex Conservation Laws

SIAM Journal on Scientific Computing ◽

10.1137/070687487 ◽

2008 ◽

Vol 31 (1) ◽

pp. 584-607 ◽

Cited By ~ 9

Author(s):

Jing-Mei Qiu ◽

Chi-Wang Shu

Keyword(s):

Conservation Laws ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Finite Volume ◽

Discontinuous Galerkin Method ◽

High Order ◽

Weighted Essentially Nonoscillatory ◽

Essentially Nonoscillatory

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High-Order Unstructured Essentially Nonoscillatory and Weighted Essentially Nonoscillatory Schemes for Aerodynamic Flows

AIAA Journal ◽

10.2514/1.19373 ◽

2006 ◽

Vol 44 (10) ◽

pp. 2295-2310 ◽

Cited By ~ 14

Author(s):

William R. Wolf ◽

Joao Luiz F. Azevedo

Keyword(s):

High Order ◽

Weighted Essentially Nonoscillatory ◽

Aerodynamic Flows ◽

Essentially Nonoscillatory

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Evaluation of Two High-Order Weighted Essentially Nonoscillatory Schemes

AIAA Journal ◽

10.2514/1.36849 ◽

2008 ◽

Vol 46 (12) ◽

pp. 3090-3102 ◽

Cited By ~ 43

Author(s):

Robert H. Nichols ◽

Robert W. Tramel ◽

Pieter G. Buning

Keyword(s):

High Order ◽

Weighted Essentially Nonoscillatory ◽

Essentially Nonoscillatory

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High order weighted essentially nonoscillatory WENO-η schemes for hyperbolic conservation laws

Journal of Computational Physics ◽

10.1016/j.jcp.2014.03.033 ◽

2014 ◽

Vol 269 ◽

pp. 355-385 ◽

Cited By ~ 15

Author(s):

Ping Fan

Keyword(s):

Conservation Laws ◽

Hyperbolic Conservation Laws ◽

High Order ◽

Hyperbolic Conservation ◽

Weighted Essentially Nonoscillatory ◽

Essentially Nonoscillatory

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