A linear, unconditionally stable, second order decoupled method for the Ericksen-Leslie model with SAV approach
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866914122822582272 |
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| author | Cao, Ruonan Yi, Nianyu |
| author_facet | Cao, Ruonan Yi, Nianyu |
| contents | In this paper, we present a second order, linear, fully decoupled, and unconditionally energy stable scheme for solving the Erickson-Leslie model. This approach integrates the pressure correction method with a scalar auxiliary variable technique. We rigorously demonstrate the unconditional energy stability of the proposed scheme. Furthermore, we present several numerical experiments to validate its convergence order, stability, and computational efficiency. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_19424 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A linear, unconditionally stable, second order decoupled method for the Ericksen-Leslie model with SAV approach Cao, Ruonan Yi, Nianyu Analysis of PDEs Numerical Analysis In this paper, we present a second order, linear, fully decoupled, and unconditionally energy stable scheme for solving the Erickson-Leslie model. This approach integrates the pressure correction method with a scalar auxiliary variable technique. We rigorously demonstrate the unconditional energy stability of the proposed scheme. Furthermore, we present several numerical experiments to validate its convergence order, stability, and computational efficiency. |
| title | A linear, unconditionally stable, second order decoupled method for the Ericksen-Leslie model with SAV approach |
| topic | Analysis of PDEs Numerical Analysis |
| url | https://arxiv.org/abs/2503.19424 |