High order finite difference and finite volume WENO schemes and discontinuous Galerkin methods for CFD

By Chi-Wang Shu. 2001

473 citations recorded by the source corpus.

Subfields: Computational Mechanics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/e8c736cce0ad3a9b3ff6ce4953cdac5553555a5c

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mechanics

1. Max Welling
2. Daniel E. Worrall
3. Tim Colonius
4. Eric Johnsen
5. C. Ziegler
6. E. Mansell
7. Johannes Brandstetter
8. David W. Romero

In Numerical Analysis

1. Max Welling
2. Tim Colonius
3. Daniel E. Worrall
4. Eric Johnsen
5. C. Ziegler
6. E. Mansell
7. Johannes Brandstetter

Citations in the corpus

• High Order Weighted Essentially Nonoscillatory Schemes for Convection Dominated Problems (2009, unknown): “Comparisons of some of these schemes with WENO schemes can be found in [198, 151].”
• Simulated Electrification of a Small Thunderstorm with Two-Moment Bulk Microphysics (2010, background): “Wind components, on the other hand, are advected with a fifth-order weighted essentially nonoscillatory (WENO) scheme (Jiang and Shu 1996; Shu 2003; Bryan 2005).”
• Message Passing Neural PDE Solvers (2022, methodology): “Numerical groundtruth is generated using a 5th-order WENO scheme (WENO5) (Shu, 2003) for the convection term ∂xu2 and 4th-order finite difference stencils for the remaining terms.”
• Implementation of WENO schemes in compressible multicomponent flow problems (2005, methodology): “This latter point is a serious drawback of first- and second-order accurate methods [ 38 ].”