Relation between diffusive terms and Riemann solver in WCSPH

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F24%3A10485749" target="_blank" >RIV/00216208:11320/24:10485749 - isvavai.cz</a>

Alternative codes found

RIV/68407700:21220/24:00375804

Result on the web

<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=gvjIy7e7sy" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=gvjIy7e7sy</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.camwa.2024.05.016" target="_blank" >10.1016/j.camwa.2024.05.016</a>

Result language

angličtina

Original language name

Relation between diffusive terms and Riemann solver in WCSPH

Original language description

The widely used weakly compressible variant of Smoothed Particle Hydrodynamics (SPH) method suffers from density 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 substitutions of the derivatives in the SPH method are central. There are two common strategies how to suppress these issues. One of them is to use numerical diffusive term which is added to the continuity equation in order to suppress the spurious oscillation of 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 the usage of diffusive terms based on even derivatives, with the difference that the Riemann solvers lead to a significantly higher diffusivity value then the standard diffusive terms. We also discuss the usage of limiters for cases with the linear reconstruction of the solution. Moreover, for both, the constant and the linear reconstruction, we analyze additional terms resulting from the employed Riemann solver also for the momentum equation. Combining these results we obtain equivalent partial differential equations, which are the result of the usage of the Riemann solver.

Czech name

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Czech description

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Type

J_imp - 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

—

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2024

Confidentiality

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

Name of the periodical

Computers and Mathematics with Applications

ISSN

0898-1221

e-ISSN

1873-7668

Volume of the periodical

167

Issue of the periodical within the volume

167

Country of publishing house

GB - UNITED KINGDOM

Number of pages

10

Pages from-to

239-248

UT code for WoS article

001246767700002

EID of the result in the Scopus database

2-s2.0-85194075668