Numerical Solution of Euler Equations Using Rotated-Hybrid Riemann Solver

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21220%2F19%3A00351045" target="_blank" >RIV/68407700:21220/19:00351045 - isvavai.cz</a>

Výsledek na webu

<a href="http://www2.it.cas.cz/fm2015/im/admin/showfile/data/my/Papers/2019/09-TPFM2019.pdf" target="_blank" >http://www2.it.cas.cz/fm2015/im/admin/showfile/data/my/Papers/2019/09-TPFM2019.pdf</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.14311/TPFM.2019.009" target="_blank" >10.14311/TPFM.2019.009</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Numerical Solution of Euler Equations Using Rotated-Hybrid Riemann Solver

Popis výsledku v původním jazyce

In this paper a new scheme for computation of the numerical fluxes in Euler equations is proposed. The scheme belongs to the rotated Riemann solvers, where two different Riemann solvers are used together. It is created by combining two-wave HLL solver, which is more dissipative, but isn't prone to formation of the carbuncle phenomena, and three-wave HLLC, which is more accurate, but isn't carbuncle-free. Both flux functions are applied in a different direction, and combined into the one. Because of the similarity of the HLL and HLLC fluxes, the final scheme can be implemented in a straightforward way. Rotated HLL/HLLC scheme is carbuncle-free, and accurately resolves shock waves. Several test cases, with focus on proper resolving of shock waves, and comparisons with other schemes, are presented.

Název v anglickém jazyce

Numerical Solution of Euler Equations Using Rotated-Hybrid Riemann Solver

Popis výsledku anglicky

In this paper a new scheme for computation of the numerical fluxes in Euler equations is proposed. The scheme belongs to the rotated Riemann solvers, where two different Riemann solvers are used together. It is created by combining two-wave HLL solver, which is more dissipative, but isn't prone to formation of the carbuncle phenomena, and three-wave HLLC, which is more accurate, but isn't carbuncle-free. Both flux functions are applied in a different direction, and combined into the one. Because of the similarity of the HLL and HLLC fluxes, the final scheme can be implemented in a straightforward way. Rotated HLL/HLLC scheme is carbuncle-free, and accurately resolves shock waves. Several test cases, with focus on proper resolving of shock waves, and comparisons with other schemes, are presented.

Druh

D - Stať ve sborníku

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

<a href="/cs/project/EF16_019%2F0000826" target="_blank" >EF16_019/0000826: Centrum pokročilých leteckých technologií</a><br>

Návaznosti

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

Rok uplatnění

2019

Kód důvěrnosti údajů

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

Název statě ve sborníku

Proceedings Topical Problems of Fluid Mechanics 2019

ISBN

978-80-87012-69-7

ISSN

2336-5781

e-ISSN

—

Počet stran výsledku

6

Strana od-do

63-68

Název nakladatele

Institute of Thermomechanics, AS CR, v.v.i.

Místo vydání

Prague

Místo konání akce

Praha

Datum konání akce

20. 2. 2019

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

000519337800009