A third order central WENO scheme for 2D conservation laws

By Doron Levy, Gabriella Puppo, Giovanni Russo. 2000

92 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computational Mechanics

View Paper: https://www.semanticscholar.org/paper/ffa46a60bda1e4856ec040b6a48ee02cce1b9cbd

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In Applied Mathematics

In Computational Mechanics

Citations in the corpus

A CENTRAL SCHEME FOR SHALLOW WATER FLOWS ALONG CHANNELS WITH IRREGULAR GEOMETRY (2009, background): “Nonoscillatory schemes based on central differencing offer a robust, yet simple, approach for computing the discontinuous solutions of hyperbolic problems, see for example [13, 10, 1, 2, 6, 12].”
Solution of two‐dimensional Riemann problems for gas dynamics without Riemann problem solvers (2002, unknown): “One of the possible ways to obtain an essentially non-oscillatory thirdorder reconstruction is by using a ENO or Weighted-ENO (WENO) approach presented in [19, 20].”
On the construction, comparison, and local characteristic decomposition for high-Order central WENO schemes (2002, background): “Only the one-dimensional case is considered in this paper, although with some nontrivial efforts the algorithm can be extended to multiple dimensions along the lines of [1, 2, 8, 9, 13, 16, 18].”
A technique of treating negative weights in WENO schemes (2000, background): “Central WENO schemes have been developed in [12], [13] and [14].”
CENTRAL SCHEMES AND CONTACT DISCONTINUITIES (2000, unknown): “We refer the reader to [24,25] for an alternative staggered approach, and to [1,2,9,18,19] for examples of central schemes in the multidimensional case.”
High Order Weighted Essentially Nonoscillatory Schemes for Convection Dominated Problems (2009, unknown): “, in [92, 93, 94, 131].”
High order finite difference and finite volume WENO schemes and discontinuous Galerkin methods for CFD (2001, background): “Central WENO schemes have been developed in [25], [26] and [27].”
Semidiscrete Central-Upwind Schemes for Hyperbolic Conservation Laws and Hamilton-Jacobi Equations (2001, background): “Second-order multi-D central schemes were introduced in [3, 4, 5, 6, 19, 34], and their higher-order extensions were developed in [31, 32].”