Cell-centered Lagrangian Lax-Wendroff HLL hybrid scheme in cylindrical geometry

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F20%3A00342149" target="_blank" >RIV/68407700:21340/20:00342149 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.1016/j.jcp.2020.109605" target="_blank" >https://doi.org/10.1016/j.jcp.2020.109605</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.jcp.2020.109605" target="_blank" >10.1016/j.jcp.2020.109605</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Cell-centered Lagrangian Lax-Wendroff HLL hybrid scheme in cylindrical geometry

Popis výsledku v původním jazyce

Lagrangian hydrodynamics as described by the Euler equations is treated by an improved version of the basic predictor-corrector Lax-Wendroff method that also has added HLL-type dissipative fluxes, including both artificial viscosity and energy dissipation. The method in Cartesian geometry is enhanced by a different weighting of the conservative variables in the predictor and a new treatment of material interfaces. The basic method is extended to cylindrical r, zgeometry, where it satisfies the geometric conservation law and keeps exact spherical symmetry on equiangular polar meshes. The added viscosity does not preserve symmetry, so in order to achieve that we have added a symmetry correction. Numerical hydrodynamic tests, including the Noh, Sedov, spherical Sod, free expansion and Kidder problems show a reasonable performance of the method. In addition, the spherical Noh problem was simulated on an initially rectangular mesh with a very good result regarding its symmetry.

Název v anglickém jazyce

Cell-centered Lagrangian Lax-Wendroff HLL hybrid scheme in cylindrical geometry

Popis výsledku anglicky

Lagrangian hydrodynamics as described by the Euler equations is treated by an improved version of the basic predictor-corrector Lax-Wendroff method that also has added HLL-type dissipative fluxes, including both artificial viscosity and energy dissipation. The method in Cartesian geometry is enhanced by a different weighting of the conservative variables in the predictor and a new treatment of material interfaces. The basic method is extended to cylindrical r, zgeometry, where it satisfies the geometric conservation law and keeps exact spherical symmetry on equiangular polar meshes. The added viscosity does not preserve symmetry, so in order to achieve that we have added a symmetry correction. Numerical hydrodynamic tests, including the Noh, Sedov, spherical Sod, free expansion and Kidder problems show a reasonable performance of the method. In addition, the spherical Noh problem was simulated on an initially rectangular mesh with a very good result regarding its symmetry.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

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

Rok uplatnění

2020

Kód důvěrnosti údajů

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

Název periodika

Journal of Computational Physics

ISSN

0021-9991

e-ISSN

1090-2716

Svazek periodika

417

Číslo periodika v rámci svazku

Sept

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

23

Strana od-do

—

Kód UT WoS článku

000552366900023

EID výsledku v databázi Scopus

2-s2.0-85085596169