Details
| Original language | English |
|---|---|
| Pages (from-to) | 176-191 |
| Number of pages | 16 |
| Journal | Computers and Mathematics with Applications |
| Volume | 91 |
| Early online date | 3 Dec 2020 |
| Publication status | Published - 1 Jun 2021 |
Abstract
Phase-field methods have the potential to simulate large scale evolution of networks of fractures in porous media without the need to explicitly track interfaces. Practical field simulations require however that robust and efficient decoupling techniques can be applied for solving these complex systems. In this work, we focus on the mechanics-step that involves the coupling of elasticity and the phase-field variable. We develop a multirate scheme in which a coarser time grid is employed for the mechanics equation (i.e., the displacements) and a finer time grid is taken for the phase-field problem. The performance of this algorithm is demonstrated for two test cases.
Keywords
- Benchmarks, Iterative coupling, Multirate, Phase-field fracture, Porous media
ASJC Scopus subject areas
- Mathematics(all)
- Modelling and Simulation
- Computer Science(all)
- Computational Theory and Mathematics
- Mathematics(all)
- Computational Mathematics
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In: Computers and Mathematics with Applications, Vol. 91, 01.06.2021, p. 176-191.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - A phase-field multirate scheme with stabilized iterative coupling for pressure driven fracture propagation in porous media
AU - Jammoul, Mohamad
AU - Wheeler, Mary F.
AU - Wick, Thomas
N1 - Funding Information: We thank both anonymous referees for their numerous remarks and questions, which helped to improve significantly the first version of the manuscript. The work of M. Jammoul is supported by the Center for Subsurface Modeling (CSM), USA affiliates program. M.F. Wheeler is supported by the CSM, USA affiliates program and the National Science Foundation (NSF), USA grant High-fidelity modeling of poromechanics with strong discontinuities with the number 1911320 . T. Wick is supported by the German Research Foundation , Priority Program 1748 (DFG SPP 1748) named Reliable Simulation Techniques in Solid Mechanics. Development of Non-standard Discretization Methods, Mechanical and Mathematical Analysis in the sub-project (WI 4367/2-1) under the project number 392587580 . Moreover, T. Wick thanks the Center for Subsurface Modeling at the Oden Institute, UT Austin, for support during the stay in November 2019.
PY - 2021/6/1
Y1 - 2021/6/1
N2 - Phase-field methods have the potential to simulate large scale evolution of networks of fractures in porous media without the need to explicitly track interfaces. Practical field simulations require however that robust and efficient decoupling techniques can be applied for solving these complex systems. In this work, we focus on the mechanics-step that involves the coupling of elasticity and the phase-field variable. We develop a multirate scheme in which a coarser time grid is employed for the mechanics equation (i.e., the displacements) and a finer time grid is taken for the phase-field problem. The performance of this algorithm is demonstrated for two test cases.
AB - Phase-field methods have the potential to simulate large scale evolution of networks of fractures in porous media without the need to explicitly track interfaces. Practical field simulations require however that robust and efficient decoupling techniques can be applied for solving these complex systems. In this work, we focus on the mechanics-step that involves the coupling of elasticity and the phase-field variable. We develop a multirate scheme in which a coarser time grid is employed for the mechanics equation (i.e., the displacements) and a finer time grid is taken for the phase-field problem. The performance of this algorithm is demonstrated for two test cases.
KW - Benchmarks
KW - Iterative coupling
KW - Multirate
KW - Phase-field fracture
KW - Porous media
UR - http://www.scopus.com/inward/record.url?scp=85097412415&partnerID=8YFLogxK
U2 - 10.1016/j.camwa.2020.11.009
DO - 10.1016/j.camwa.2020.11.009
M3 - Article
AN - SCOPUS:85097412415
VL - 91
SP - 176
EP - 191
JO - Computers and Mathematics with Applications
JF - Computers and Mathematics with Applications
SN - 0898-1221
ER -