Preconditioning for a Cahn-Hilliard-Navier-Stokes model for morphology formation in organic solar cells
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866914273966424064 |
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| author | Çiloğlu, Pelin Tretmans, Carmen Herzog, Roland Pietschmann, Jan-F. Stoll, Martin |
| author_facet | Çiloğlu, Pelin Tretmans, Carmen Herzog, Roland Pietschmann, Jan-F. Stoll, Martin |
| contents | We present a model for the morphology evolution of printed organic solar cells which occurs during the drying of a mixture of polymer, the non-fullerene acceptor and the solvent. Our model uses a phase field approach coupled to a Navier-Stokes equation describing the macroscopic movement of the fluid. Additionally, we incorporate the evaporation process of the solvent using an Allen-Cahn equation.
The model is discretized using a finite-element approach with a semi-implicit discretization in time. The resulting (non)linear systems are coupled and of large dimensionality. We present a preconditioned iterative scheme to solve them robustly with respect to changes in the discretization parameters. We illustrate that the preconditioned solver shows parameter-robust iteration numbers and that the model qualitatively captures the behavior of the film morphology during drying. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_11767 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Preconditioning for a Cahn-Hilliard-Navier-Stokes model for morphology formation in organic solar cells Çiloğlu, Pelin Tretmans, Carmen Herzog, Roland Pietschmann, Jan-F. Stoll, Martin Numerical Analysis We present a model for the morphology evolution of printed organic solar cells which occurs during the drying of a mixture of polymer, the non-fullerene acceptor and the solvent. Our model uses a phase field approach coupled to a Navier-Stokes equation describing the macroscopic movement of the fluid. Additionally, we incorporate the evaporation process of the solvent using an Allen-Cahn equation. The model is discretized using a finite-element approach with a semi-implicit discretization in time. The resulting (non)linear systems are coupled and of large dimensionality. We present a preconditioned iterative scheme to solve them robustly with respect to changes in the discretization parameters. We illustrate that the preconditioned solver shows parameter-robust iteration numbers and that the model qualitatively captures the behavior of the film morphology during drying. |
| title | Preconditioning for a Cahn-Hilliard-Navier-Stokes model for morphology formation in organic solar cells |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2501.11767 |