Accuracy of MUSCL and WENO Schemes on Non-Uniform Structured Meshes
气体物理The difference schemes constructed on the basis of one-dimensional uniform grids must be extended to non-uniform or curvilinear grids in practical applications, and the coordinate transformation process introduces geometry-induced errors. The accuracy of
Jun LIU, Yu LIU
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High-order weno-θ6 finite volume method for two-dimensional compressible euler equations
Tạp chí Khoa học và Công nghệA high-order finite-volume WENO-θ6 method is proposed for two-dimensional compressible Euler equations. The method employs θ-adaptive weighting to combine fifth-order upwind and sixth-order central reconstructions based on local smoothness indicators ...
Nguyen Minh Hieu Pham, Thien Binh Nguyen
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, 2013 The development of high-order schemes has been mostly concentrated on the limiters and high-order reconstruction techniques. In this paper, the effect of the flux functions on the performance of high-order schemes will be studied.
Luo, Jun, Xuan, Lijun, Xu, Kun
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Von Neumann Stability Analysis of DG-Like and PNPM-Like Schemes for PDEs with Globally Curl-Preserving Evolution of Vector Fields. [PDF]
Commun Appl Math Comput, 2022 Balsara DS, Käppeli R.
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A Two-Step High-Order Compact Corrected WENO Scheme
AlgorithmsIn this study, we introduce a novel 2-step compact scheme-based high-order correction method for computational fluid dynamics (CFD). Unlike traditional single-formula-based schemes, our proposed approach refines flux function values by leveraging results
Yong Yang +3 more
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Compact-Corrected MUSCL: A Flexible, Low-Cost High-Accuracy Scheme for High-Speed Flow Simulation
AlgorithmsHigh-order numerical methods are essential for achieving predictive fidelity in modern computational fluid dynamics, yet many existing schemes face significant trade-offs between accuracy, robustness, and computational efficiency.
Yonghua Yan +4 more
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Local Inverse Mapping Implicit Hole-Cutting Method for Structured Cartesian Overset Grid Assembly. [PDF]
Entropy (Basel), 2023 Wang J, Wu F, Xu Q, Tan L.
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An Eulerian-Lagrangian WENO finite volume scheme for advection problems
, 2012 We develop a locally conservative Eulerian-Lagrangian finite volume scheme with the weighted essentially non-oscillatory property (EL-WENO) in one-space dimension. This method has the advantages of both WENO and Eulerian-Lagrangian schemes.
Arbogast, Todd +3 more
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Free-Energy-Based Discrete Unified Gas Kinetic Scheme for van der Waals Fluid. [PDF]
Entropy (Basel), 2022 Yang Z, Liu S, Zhuo C, Zhong C.
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Development of a High-Order Accurate Hybrid Scheme Using the Central Flux and WENO Schemes
, 2005 A hybrid central-WENO scheme is proposed. The fifth order WENO-LF scheme is coupled with a central flux scheme at cell face. Two sub-schemes, the WENO-LF scheme and the central flux scheme, are switched by a weighting function.
김대희, 권대희
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