Approaches to conservative Smoothed Particle Hydrodynamics with entropy
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F25%3A10508625" target="_blank" >RIV/00216208:11320/25:10508625 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/978-3-031-93918-1_24" target="_blank" >https://doi.org/10.1007/978-3-031-93918-1_24</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-031-93918-1_24" target="_blank" >10.1007/978-3-031-93918-1_24</a>
Alternative languages
Result language
angličtina
Original language name
Approaches to conservative Smoothed Particle Hydrodynamics with entropy
Original language description
Smoothed particle hydrodynamics (SPH) is typically used for barotropic fluids, where the pressure depends only on the local mass density. Here, we show how to incorporate the entropy into the SPH, so that the pressure can also depend on the temperature, while keeping the growth of the total entropy, conservation of the total energy, and symplecticity of the reversible part of the SPH equations. The SPH system of ordinary differential equations with entropy is derived by means of the Poisson reduction and the Lagrange Euler transformation. We present several approaches toward SPH with entropy, which are then illustrated on systems with discontinuities, on the expansion of ideal gas, and on the Rayleigh-Bénard convection without the Boussinesq approximation. Finally, we show how to model hyperbolic heat conduction within the SPH, extending the SPH variables not only with entropy but also with a heat-flux-related vector field.
Czech name
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Czech description
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Classification
Type
C - Chapter in a specialist book
CEP classification
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OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
<a href="/en/project/GA23-05736S" target="_blank" >GA23-05736S: Geometric multiscale thermodynamics of complex fluids</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Book/collection name
Advances in Continuum Physics. Advanced Structured Materials
ISBN
978-3-031-93917-4
Number of pages of the result
46
Pages from-to
697-742
Number of pages of the book
834
Publisher name
Springer
Place of publication
Cham
UT code for WoS chapter
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