Lax-Wendroff methods on highly non-uniform meshes. Dedicated to the Memory of Blair Swartz (1932–2019)
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F21%3A00346524" target="_blank" >RIV/68407700:21340/21:00346524 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1016/j.apnum.2021.01.014" target="_blank" >https://doi.org/10.1016/j.apnum.2021.01.014</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.apnum.2021.01.014" target="_blank" >10.1016/j.apnum.2021.01.014</a>
Alternative languages
Result language
angličtina
Original language name
Lax-Wendroff methods on highly non-uniform meshes. Dedicated to the Memory of Blair Swartz (1932–2019)
Original language description
The standard Lax-Wendroff scheme with the conservative Lax-Friedrichs nodal predictor on highly non-uniform meshes produces serious oscillations, making it useless on such meshes. Wendroff and White (1989) proposed two versions (WW and WWJp) with different predictors which work robustly on such meshes. Both WW and WWJp are second order accurate. We investigate how these methods behave on highly non-uniform meshes of three types (Pike, cluster and van der Corput) for 1D smooth solutions of the Burgers and the Euler equations. The WW and WWJp methods are extended to 2D and tested on smooth solutions of the Euler equations on 2D meshes created by the Cartesian product of 1D highly non-uniform meshes. We have not been able to find any significant difference between the WW and WWJp results, thus the simpler WW should be preferred.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Applied Numerical Mathematics
ISSN
0168-9274
e-ISSN
1873-5460
Volume of the periodical
163
Issue of the periodical within the volume
May
Country of publishing house
GB - UNITED KINGDOM
Number of pages
15
Pages from-to
167-181
UT code for WoS article
000620660200011
EID of the result in the Scopus database
2-s2.0-85100003406