Autor:

Costa, Ricardo ; Machado, Gaspar J. ; Clain, Stéphane

Współtwórca:

Byrski, Aleksander - ed. ; Kisiel-Dorohinicki, Marek - ed. ; Dobrowolski, Grzegorz - ed.

Tytuł:

A sixth-order finite volume method for the 1D biharmonic operator: Application to intramedullary nail simulation

Podtytuł:

.

Tytuł publikacji grupowej:

AMCS, Volume 25 (2015)

Temat i słowa kluczowe:

finite volume method ; polynomial reconstruction operator ; harmonic operator ; biharmonic operator ; high-order method

Abstract:

A new very high-order finite volume method to solve problems with harmonic and biharmonic operators for one-dimensional geometries is proposed. The main ingredient is polynomial reconstruction based on local interpolations of mean values providing accurate approximations of the solution up to the sixth-order accuracy. ; First developed with the harmonic operator, an extension for the biharmonic operator is obtained, which allows designing a very high-order finite volume scheme where the solution is obtained by solving a matrix-free problem. An application in elasticity coupling the two operators is presented. We consider a beam subject to a combination of tensile and bending loads, where the main goal is the stress critical point determination for an intramedullary nail.

Wydawca:

Zielona Góra: Uniwersytet Zielonogórski

Data wydania:

2015

Typ zasobu:

artykuł

DOI:

10.1515/amcs-2015-0039

Strony:

529-537

Źródło:

AMCS, volume 25, number 3 (2015) ; kliknij tutaj, żeby przejść

Jezyk:

eng

Licencja CC BY 4.0:

kliknij tutaj, żeby przejść

Prawa do dysponowania publikacją:

Biblioteka Uniwersytetu Zielonogórskiego