Planar multi-patch domain parameterization for isogeometric analysis based on evolution of fat skeleton

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F21%3A43962278" target="_blank" >RIV/49777513:23520/21:43962278 - isvavai.cz</a>

Výsledek na webu

<a href="https://www.sciencedirect.com/science/article/pii/S0045782521003765" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0045782521003765</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.cma.2021.114045" target="_blank" >10.1016/j.cma.2021.114045</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Planar multi-patch domain parameterization for isogeometric analysis based on evolution of fat skeleton

Popis výsledku v původním jazyce

In this paper, we propose a new algorithm for computing planar multi-patch domain parameterizations which are suitable for consequent numerical computations based on isogeometric analysis. Firstly, a so-called fat skeleton of the given domain, represented by a multi-patch NURBS parameterization, is constructed, which determines the topology of a multi-patch NURBS parameterization suitable for the given domain. Then, we formulate an evolution process which successively transforms the initial shape represented by the fat skeleton to the target shape represented by the given domain. Moreover, a multi-patch optimization is applied in every time iteration to make the multi-patch NURBS parameterization as uniform and orthogonal as possible. The method is constructed such that it is fully automatic and it solves the biggest problems of the domain parameterization problem, i.e., it automatically determines a suitable topology of a multi-patch NURBS parameterization for the given domain and it also automatically solves the boundary correspondence problem. The functionality of the proposed method is demonstrated on several examples.

Název v anglickém jazyce

Planar multi-patch domain parameterization for isogeometric analysis based on evolution of fat skeleton

Popis výsledku anglicky

In this paper, we propose a new algorithm for computing planar multi-patch domain parameterizations which are suitable for consequent numerical computations based on isogeometric analysis. Firstly, a so-called fat skeleton of the given domain, represented by a multi-patch NURBS parameterization, is constructed, which determines the topology of a multi-patch NURBS parameterization suitable for the given domain. Then, we formulate an evolution process which successively transforms the initial shape represented by the fat skeleton to the target shape represented by the given domain. Moreover, a multi-patch optimization is applied in every time iteration to make the multi-patch NURBS parameterization as uniform and orthogonal as possible. The method is constructed such that it is fully automatic and it solves the biggest problems of the domain parameterization problem, i.e., it automatically determines a suitable topology of a multi-patch NURBS parameterization for the given domain and it also automatically solves the boundary correspondence problem. The functionality of the proposed method is demonstrated on several examples.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

<a href="/cs/project/GA19-04006S" target="_blank" >GA19-04006S: Moderní geometricko-numerické metody v simulaci nestlačitelného turbulentního proudění pro reálné úlohy velkého rozsahu</a><br>

Návaznosti

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

Rok uplatnění

2021

Kód důvěrnosti údajů

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

Název periodika

Computer Methods in Applied Mechanics and Engineering

ISSN

0045-7825

e-ISSN

—

Svazek periodika

385

Číslo periodika v rámci svazku

November 2021

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

31

Strana od-do

—

Kód UT WoS článku

000691789700009

EID výsledku v databázi Scopus

2-s2.0-85111283441