High order weighted essentially non-oscillatory WENO-Z schemes for hyperbolic conservation laws

By Marcos Castro, Bruno Costa, Wai Sun Don. Journal of Computational Physics, 2011

570 citations recorded by the source corpus.

How researchers see this paper

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

A high‐resolution hybrid scheme for hyperbolic conservation laws (2015, methodology): “[6] extended the WENO-Z scheme to all odd orders of accuracy by developing a general formula for the higher-”
A new smoothness indicator for third‐order WENO scheme (2016, background): “[6] developed a general formula for the higher-order smoothness indicators for all odd-orderWENO-Z schemes.”
Overview of the Meso-NH model version 5.4 and its applications (2018, methodology): “WENO schemes owe their success to the use of an adaptive set of stencils, allowing a better representation of the solution in the presence of high gradients (Shu, 1998; Castro et al., 2011).”
A family of high-order targeted ENO schemes for compressible-fluid simulations (2016, background): “ε is a small value to prevent division by zero, whereas further research has shown that it indeed acts as a cutoff of the smoothness measure [33].”