Details
| Original language | English |
|---|---|
| Title of host publication | Numerical Mathematics and Advanced Applications ENUMATH 2015 |
| Editors | Murat Manguoglu, Bulent Karasozen, Munevver Tezer-Sezgin, Omur Ugur, Munevver Tezer-Sezgin, Murat Manguoglu, Omur Ugur, Serdar Goktepe, Omur Ugur, Munevver Tezer-Sezgin, Murat Manguoglu, Bulent Karasozen, Bulent Karasozen, Serdar Goktepe, Serdar Goktepe |
| Publisher | Springer Verlag |
| Pages | 401-409 |
| Number of pages | 9 |
| ISBN (print) | 9783319399270, 9783319399270, 9783319399270 |
| Publication status | Published - 2016 |
| Externally published | Yes |
| Event | European Conference on Numerical Mathematics and Advanced Applications, ENUMATH 2015 - Ankara, Turkey Duration: 14 Sept 2015 → 18 Sept 2015 |
Publication series
| Name | Lecture Notes in Computational Science and Engineering |
|---|---|
| Volume | 112 |
| ISSN (Print) | 1439-7358 |
Abstract
In this work, a framework for coupling arbitrary Lagrangian-Eulerian fluid-structure interaction with phase-field fracture is suggested. The key idea is based on applying the weak form of phase-field fracture, including a crack irreversibility constraint, to the nonlinear coupled system of Navier-Stokes and elasticity. The resulting setting is formulated via variational-monolithic coupling and has four unknowns: velocities, displacements, pressure, and a phase-field variable. The inequality constraint is imposed through penalization using an augmented Lagrangian algorithm. The nonlinear problem is solved with Newton’s method. The framework is tested in terms of a numerical example in which computational stability is demonstrated by evaluating goal functionals on different spatial meshes.
ASJC Scopus subject areas
- Mathematics(all)
- Modelling and Simulation
- Engineering(all)
- General Engineering
- Mathematics(all)
- Discrete Mathematics and Combinatorics
- Mathematics(all)
- Control and Optimization
- Mathematics(all)
- Computational Mathematics
Cite this
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Numerical Mathematics and Advanced Applications ENUMATH 2015. ed. / Murat Manguoglu; Bulent Karasozen; Munevver Tezer-Sezgin; Omur Ugur; Munevver Tezer-Sezgin; Murat Manguoglu; Omur Ugur; Serdar Goktepe; Omur Ugur; Munevver Tezer-Sezgin; Murat Manguoglu; Bulent Karasozen; Bulent Karasozen; Serdar Goktepe; Serdar Goktepe. Springer Verlag, 2016. p. 401-409 (Lecture Notes in Computational Science and Engineering; Vol. 112).
Research output: Chapter in book/report/conference proceeding › Conference contribution › Research › peer review
}
TY - GEN
T1 - Coupling fluid-structure interaction with phase-field fracture
T2 - European Conference on Numerical Mathematics and Advanced Applications, ENUMATH 2015
AU - Wick, Thomas
N1 - Publisher Copyright: © Springer International Publishing Switzerland 2016. Copyright: Copyright 2017 Elsevier B.V., All rights reserved.
PY - 2016
Y1 - 2016
N2 - In this work, a framework for coupling arbitrary Lagrangian-Eulerian fluid-structure interaction with phase-field fracture is suggested. The key idea is based on applying the weak form of phase-field fracture, including a crack irreversibility constraint, to the nonlinear coupled system of Navier-Stokes and elasticity. The resulting setting is formulated via variational-monolithic coupling and has four unknowns: velocities, displacements, pressure, and a phase-field variable. The inequality constraint is imposed through penalization using an augmented Lagrangian algorithm. The nonlinear problem is solved with Newton’s method. The framework is tested in terms of a numerical example in which computational stability is demonstrated by evaluating goal functionals on different spatial meshes.
AB - In this work, a framework for coupling arbitrary Lagrangian-Eulerian fluid-structure interaction with phase-field fracture is suggested. The key idea is based on applying the weak form of phase-field fracture, including a crack irreversibility constraint, to the nonlinear coupled system of Navier-Stokes and elasticity. The resulting setting is formulated via variational-monolithic coupling and has four unknowns: velocities, displacements, pressure, and a phase-field variable. The inequality constraint is imposed through penalization using an augmented Lagrangian algorithm. The nonlinear problem is solved with Newton’s method. The framework is tested in terms of a numerical example in which computational stability is demonstrated by evaluating goal functionals on different spatial meshes.
UR - http://www.scopus.com/inward/record.url?scp=84998591760&partnerID=8YFLogxK
U2 - 10.1007/978-3-319-39929-4_38
DO - 10.1007/978-3-319-39929-4_38
M3 - Conference contribution
AN - SCOPUS:84998591760
SN - 9783319399270
SN - 9783319399270
SN - 9783319399270
T3 - Lecture Notes in Computational Science and Engineering
SP - 401
EP - 409
BT - Numerical Mathematics and Advanced Applications ENUMATH 2015
A2 - Manguoglu, Murat
A2 - Karasozen, Bulent
A2 - Tezer-Sezgin, Munevver
A2 - Ugur, Omur
A2 - Tezer-Sezgin, Munevver
A2 - Manguoglu, Murat
A2 - Ugur, Omur
A2 - Goktepe, Serdar
A2 - Ugur, Omur
A2 - Tezer-Sezgin, Munevver
A2 - Manguoglu, Murat
A2 - Karasozen, Bulent
A2 - Karasozen, Bulent
A2 - Goktepe, Serdar
A2 - Goktepe, Serdar
PB - Springer Verlag
Y2 - 14 September 2015 through 18 September 2015
ER -