Cell-centered Lagrangian Lax-Wendroff HLL hybrid scheme in cylindrical geometry

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F20%3A00342149" target="_blank" >RIV/68407700:21340/20:00342149 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1016/j.jcp.2020.109605" target="_blank" >https://doi.org/10.1016/j.jcp.2020.109605</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jcp.2020.109605" target="_blank" >10.1016/j.jcp.2020.109605</a>

Result language
angličtina
Original language name
Cell-centered Lagrangian Lax-Wendroff HLL hybrid scheme in cylindrical geometry
Original language description
Lagrangian hydrodynamics as described by the Euler equations is treated by an improved version of the basic predictor-corrector Lax-Wendroff method that also has added HLL-type dissipative fluxes, including both artificial viscosity and energy dissipation. The method in Cartesian geometry is enhanced by a different weighting of the conservative variables in the predictor and a new treatment of material interfaces. The basic method is extended to cylindrical r, zgeometry, where it satisfies the geometric conservation law and keeps exact spherical symmetry on equiangular polar meshes. The added viscosity does not preserve symmetry, so in order to achieve that we have added a symmetry correction. Numerical hydrodynamic tests, including the Noh, Sedov, spherical Sod, free expansion and Kidder problems show a reasonable performance of the method. In addition, the spherical Noh problem was simulated on an initially rectangular mesh with a very good result regarding its symmetry.
Czech name
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Czech description
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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

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)

Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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