Spectrally Accurate Simulation of Axisymmetric Vesicle Dynamics
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866914479743172608 |
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| author | Shishkin, M. A. |
| author_facet | Shishkin, M. A. |
| contents | We present a meshless numerical method for simulating the dynamics of axisymmetric vesicles in a viscous medium. Key innovations include: (1) adaptive reparameterization based on local length scales, reducing the number of required harmonics; (2) gauge dynamics for maintaining optimal parameterization; (3) error control near the symmetry axis; and (4) spectrally accurate quadrature schemes for singular integrals. The method achieves high accuracy and computational efficiency for simulating lipid bilayer dynamics and related problems in soft matter physics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_14926 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Spectrally Accurate Simulation of Axisymmetric Vesicle Dynamics Shishkin, M. A. Computational Physics Soft Condensed Matter We present a meshless numerical method for simulating the dynamics of axisymmetric vesicles in a viscous medium. Key innovations include: (1) adaptive reparameterization based on local length scales, reducing the number of required harmonics; (2) gauge dynamics for maintaining optimal parameterization; (3) error control near the symmetry axis; and (4) spectrally accurate quadrature schemes for singular integrals. The method achieves high accuracy and computational efficiency for simulating lipid bilayer dynamics and related problems in soft matter physics. |
| title | Spectrally Accurate Simulation of Axisymmetric Vesicle Dynamics |
| topic | Computational Physics Soft Condensed Matter |
| url | https://arxiv.org/abs/2604.14926 |