Improvements of the fifth-order WENO-JS-type scheme with normalized smoothing factor for gas dynamic Euler equations
type: Item
instance of: scholarly article
title: Improvements of the fifth-order WENO-JS-type scheme with normalized smoothing factor for gas dynamic Euler equations
zbMATH Open document ID: 1506.65188
author: Shujiang Tang
published in: Applied Numerical Mathematics
publication date: 2022-12-09T00:00:00Z
review text: In this paper, a fifth-order WENO-JS-type scheme is developed that can achieve a theoretical optimal accuracy at high-order critical points. The WENO-NSI scheme is constructed using (a) normalizing the local smoothness factor to obtain three normalized variables, (b) introducing a mapping function to improve the accuracy of the normalized variables, and (c) dividing the linear weights using a mapping function. Numerical experiments of one- and two-dimensional gas dynamic Euler equations show that WENO-NSI scheme can reduce to the third- or even second-order at or near the higher-order critical point, compared with the classical WENO-JS/Z/M/D/IM and TENO-Z schemes and it has a better shock-capturing ability than other schemes.
Mathematics Subject Classification ID: 65N06
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 35B38
Mathematics Subject Classification ID: 76N15
Mathematics Subject Classification ID: 76L05
Mathematics Subject Classification ID: 76J20
Mathematics Subject Classification ID: 76M20
Mathematics Subject Classification ID: 35Q31
zbMATH DE Number: 7630336
zbMATH Keywords: WENO scheme
zbMATH Keywords: normalized smoothing factor
zbMATH Keywords: critical points
zbMATH Keywords: optimal order
zbMATH Keywords: gas dynamic Euler equations
reviewed by: Bülent Karasözen
MaRDI profile type: Publication
full work available at URL: j.apnum.2022.10.010
OpenAlex ID: W4307647958
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DOI: 10.1016/J.APNUM.2022.10.010
description: scientific article; zbMATH DE number 7630336