Effect of Riemann Based Schemes and Additional Diffusive Terms in Smoothed Particle Hydrodynamics

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21220%2F25%3A00387094" target="_blank" >RIV/68407700:21220/25:00387094 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/978-3-031-86173-4_39" target="_blank" >https://doi.org/10.1007/978-3-031-86173-4_39</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-031-86173-4_39" target="_blank" >10.1007/978-3-031-86173-4_39</a>

Result language
angličtina
Original language name
Effect of Riemann Based Schemes and Additional Diffusive Terms in Smoothed Particle Hydrodynamics
Original language description
The widely used weakly compressible variant of Smoothed Particle Hydrodynamics (SPH) method suffers from density oscillations and hence pressure oscillations. This is due to the particle Lagrangian nature of the SPH method in combination with weakly compressible assumption, explicit time scheme and that the approximation of the derivatives in the SPH method is central. There are two common strategies how to suppress these issues. One of them is to use numerical diffusive term which is added in the continuity equation in order to suppress the spurious oscillation on density field. The second option is to describe the particle-particle interaction in terms of Riemann problem and use Riemann solver, which provides numerical dissipation, to handle particle interactions. In our work, we deal with the relation between these two approaches. For the constant reconstruction and for the linear reconstruction we show that the usage of Riemann solvers is due to its intrinsic numerical viscosity equivalent to usage of diffusive terms based on even derivatives, with the difference that the Riemann solvers lead to significantly higher value of coefficient of numerical diffusion, then is used in case of standard diffusive terms.
Czech name
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Czech description
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Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Numerical Mathematics and Advanced Applications ENUMATH 2023, Volume 1
ISBN
978-3-031-86172-7
ISSN
1439-7358
e-ISSN
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Number of pages
9
Pages from-to
387-395
Publisher name
Springer
Place of publication
Cham
Event location
Lisabon
Event date
Sep 4, 2023
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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