A high-order rectilinear Lagrangian method based on the geometric conservation law
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
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| _version_ | 1866914531147513856 |
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| author | Wang, Xun Ma, Chengdi |
| author_facet | Wang, Xun Ma, Chengdi |
| contents | This paper presents a mesh moving strategy for high-order Lagrangian method on quadrilateral meshes. The primary evidence of this method stems from principle of area conservative linearization and the asymptotic properties of the velocity. The former strictly adheres to the requirements of geometric conservation laws, while the latter provides a high-order accuracy guarantee. Two smooth vortex test cases verify the feasibility of the proposed scheme. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_03739 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A high-order rectilinear Lagrangian method based on the geometric conservation law Wang, Xun Ma, Chengdi Numerical Analysis This paper presents a mesh moving strategy for high-order Lagrangian method on quadrilateral meshes. The primary evidence of this method stems from principle of area conservative linearization and the asymptotic properties of the velocity. The former strictly adheres to the requirements of geometric conservation laws, while the latter provides a high-order accuracy guarantee. Two smooth vortex test cases verify the feasibility of the proposed scheme. |
| title | A high-order rectilinear Lagrangian method based on the geometric conservation law |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2605.03739 |