Second-invariant-preserving Remap of the 2D Deviatoric Stress Tensor in ALE Methods

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F19%3A00321852" target="_blank" >RIV/68407700:21340/19:00321852 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.1016/j.camwa.2018.06.012" target="_blank" >https://doi.org/10.1016/j.camwa.2018.06.012</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.camwa.2018.06.012" target="_blank" >10.1016/j.camwa.2018.06.012</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Second-invariant-preserving Remap of the 2D Deviatoric Stress Tensor in ALE Methods

Popis výsledku v původním jazyce

For numerical simulations of impact problems or fluid-solid interactions, the ALE (Arbitrary Lagrangian-Eulerian) approach is a useful tool due to its ability to keep the computational mesh smooth and moving with the fluid. The elastic-plastic extension of the compressible fluid model requires tensor variables for the description of non-volumetric (deviatoric) mechanical stress. While Lagrangian numerical schemes based on the evolution equation of the stress tensor are well developed, tensor remap is still a relatively unexplored territory. We propose a new approach to deviatoric stress remapping, where the second invariant J2 (a conservative scalar quantity related to the strain energy) is remapped independently of the tensor components. These are re-scaled to match the remapped invariant value, effectively using only the principal directions and eigenvalue ratio from the component-wise remap. This approach is frame invariant, preserves J2 invariant bounds and conserves the total invariant. We compare our method with component-based remapping using a simple synchronized limiter or a specialized stress tensor limiter described in the literature.

Název v anglickém jazyce

Second-invariant-preserving Remap of the 2D Deviatoric Stress Tensor in ALE Methods

Popis výsledku anglicky

For numerical simulations of impact problems or fluid-solid interactions, the ALE (Arbitrary Lagrangian-Eulerian) approach is a useful tool due to its ability to keep the computational mesh smooth and moving with the fluid. The elastic-plastic extension of the compressible fluid model requires tensor variables for the description of non-volumetric (deviatoric) mechanical stress. While Lagrangian numerical schemes based on the evolution equation of the stress tensor are well developed, tensor remap is still a relatively unexplored territory. We propose a new approach to deviatoric stress remapping, where the second invariant J2 (a conservative scalar quantity related to the strain energy) is remapped independently of the tensor components. These are re-scaled to match the remapped invariant value, effectively using only the principal directions and eigenvalue ratio from the component-wise remap. This approach is frame invariant, preserves J2 invariant bounds and conserves the total invariant. We compare our method with component-based remapping using a simple synchronized limiter or a specialized stress tensor limiter described in the literature.

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

2019

Kód důvěrnosti údajů

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

Název periodika

Computers and Mathematics with Applications

ISSN

0898-1221

e-ISSN

1873-7668

Svazek periodika

78

Číslo periodika v rámci svazku

2

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

16

Strana od-do

654-669

Kód UT WoS článku

000472128600023

EID výsledku v databázi Scopus

2-s2.0-85048788733