Approaches to conservative Smoothed Particle Hydrodynamics with entropy

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Approaches to conservative Smoothed Particle Hydrodynamics with entropy

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Approaches to conservative Smoothed Particle Hydrodynamics with entropy

Popis výsledku anglicky

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.

Druh

C - Kapitola v odborné knize

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

<a href="/cs/project/GA23-05736S" target="_blank" >GA23-05736S: Geometrická multiškálová termodynamika komplexních tekutin</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2025

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název knihy nebo sborníku

Advances in Continuum Physics. Advanced Structured Materials

ISBN

978-3-031-93917-4

Počet stran výsledku

46

Strana od-do

697-742

Počet stran knihy

834

Název nakladatele

Springer

Místo vydání

Cham

Kód UT WoS kapitoly

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