Optimization-based method for conjugate heat transfer problems
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866916653666664448 |
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| author | Fang, Liang Liu, Xiandong Zhang, Lei |
| author_facet | Fang, Liang Liu, Xiandong Zhang, Lei |
| contents | We propose a numerical approach for solving conjugate heat transfer problems using the finite volume method. This approach combines a semi-implicit scheme for fluid flow, governed by the incompressible Navier-Stokes equations, with an optimization-based approach for heat transfer across the fluid-solid interface. In the semi-implicit method, the convective term in the momentum equation is treated explicitly, ensuring computational efficiency, while maintaining stability when a CFL condition involving fluid velocity is satisfied. Heat exchange between the fluid and solid domains is formulated as a constrained optimization problem, which is efficiently solved using a sequential quadratic programming method. Numerical results are presented to demonstrate the effectiveness and performance of the proposed approach. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2503_12375 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Optimization-based method for conjugate heat transfer problems Fang, Liang Liu, Xiandong Zhang, Lei Numerical Analysis Mathematical Physics We propose a numerical approach for solving conjugate heat transfer problems using the finite volume method. This approach combines a semi-implicit scheme for fluid flow, governed by the incompressible Navier-Stokes equations, with an optimization-based approach for heat transfer across the fluid-solid interface. In the semi-implicit method, the convective term in the momentum equation is treated explicitly, ensuring computational efficiency, while maintaining stability when a CFL condition involving fluid velocity is satisfied. Heat exchange between the fluid and solid domains is formulated as a constrained optimization problem, which is efficiently solved using a sequential quadratic programming method. Numerical results are presented to demonstrate the effectiveness and performance of the proposed approach. |
| title | Optimization-based method for conjugate heat transfer problems |
| topic | Numerical Analysis Mathematical Physics |
| url | https://arxiv.org/abs/2503.12375 |