Conservative high-order time integration for lagrangian hydrodynamics

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60461373%3A22340%2F21%3A43923499" target="_blank" >RIV/60461373:22340/21:43923499 - isvavai.cz</a>
Result on the web
<a href="https://epubs.siam.org/doi/epdf/10.1137/20M1314495" target="_blank" >https://epubs.siam.org/doi/epdf/10.1137/20M1314495</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1137/20M1314495" target="_blank" >10.1137/20M1314495</a>

Result language
angličtina
Original language name
Conservative high-order time integration for lagrangian hydrodynamics
Original language description
This work develops novel time integration methods for the compressible Euler equations in the Lagrangian frame that are of arbitrary high order and exactly preserve the mass, momentum, and total energy of the system. The equations are considered in nonconservative form, that is, common for staggered grid hydrodynamics (SGH) methods; namely, the evolved quantities are mass, momentum, and internal energy. A general family of time integration schemes is formulated, and practical pairs for orders three and four are derived. Numerical results on standard hydrodynamics benchmarks confirm the high-order convergence on smooth problems and the exact numerical preservation of all physically conserved quantities. © 2021 Society for Industrial and Applied Mathematics.
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
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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