On the construction, comparison, and local characteristic decomposition for high-Order central WENO schemes

By Jianxian Qiu, Chi-Wang Shu. 2002

298 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computational Mechanics

View Paper: https://www.semanticscholar.org/paper/7eb3164b9ceef56601cc6b7340910359e67139b7

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In Applied Mathematics

In Computational Mechanics

Citations in the corpus

Non-Oscillatory Hierarchical Reconstruction for Central and Finite Volume Schemes (2006, unknown): “Email addresses: yingjie@math.gatech.edu (Y. Liu), shu@dam.brown.edu (C.W. Shu), tadmor@cscamm.umd.edu (E. Tadmor), mpzhang@ustc.edu.cn (M. Zhang) http://www.global-sci.com/ 933 c©2007 Global-Science Press”
Hermite WENO schemes for Hamilton-Jacobi equations (2005, unknown): “Finite volume WENO schemes on unstructured and structured meshes are designed in, e.g. [8,10,17,22].”
Runge-Kutta Discontinuous Galerkin Method Using WENO Limiters (2005, methodology): “Improving the procedure for identifying troubled cells, improving the WENO reconstruction using more compact stencils (Hermite-type reconstructions), using ENO rather than WENO for the reconstruction (as the linear weights often fail to exist for some choices of the reconstruction [19]), and impleme”
Implementation of WENO schemes in compressible multicomponent flow problems (2005, background): “In systems of nonlinear equations, oscillations can develop in component-wise reconstruction due to the interaction of discontinuities of different characteristic fields, regardless of the CFL constraint [17, 32 ].”
Implicit-explicit runge-kutta schemes and applications to hyperbolic systems with relaxation (2010, unknown): “For a treatment of this eﬀect see, for example, [39].”
Balanced finite volume WENO and central WENO schemes for the shallow water and the open-channel flow equations (2004, methodology): “The coefficients bj(θ) can be found in [22] and [19].”
Finite-volume WENO schemes for three-dimensional conservation laws (2004, methodology): “Our observations agree with those of [16], where the authors use one-dimensional WENO schemes in their experiments.”
High-order balanced CWENO scheme for movable bed shallow water equations (2007, methodology): “For the details on the computation of linear weights see [17,27,25].”