Spectrally accurate, reverse-mode differentiable bounce-averaging algorithm and its applications
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866909870265991168 |
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| author | Unalmis, Kaya E. Gaur, Rahul Conlin, Rory Panici, Dario Kolemen, Egemen |
| author_facet | Unalmis, Kaya E. Gaur, Rahul Conlin, Rory Panici, Dario Kolemen, Egemen |
| contents | We present a fast, spectrally accurate, automatically differentiable bounce-averaging algorithm implemented in the DESC stellarator optimization suite. Using this algorithm, we can perform efficient optimization of many objectives to improve stellarator performance, such as the $ε_{\mathrm{eff}}^{3/2}$ proxy for the neoclassical transport coefficient in the $1/ν$ (banana) regime. By employing this differentiable approximation, for the first time, we optimize a finite-beta stellarator to directly reduce neoclassical ripple transport using reverse-mode differentiation. This ensures the cost of differentiation is independent of the number of controllable parameters. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_01724 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Spectrally accurate, reverse-mode differentiable bounce-averaging algorithm and its applications Unalmis, Kaya E. Gaur, Rahul Conlin, Rory Panici, Dario Kolemen, Egemen Plasma Physics We present a fast, spectrally accurate, automatically differentiable bounce-averaging algorithm implemented in the DESC stellarator optimization suite. Using this algorithm, we can perform efficient optimization of many objectives to improve stellarator performance, such as the $ε_{\mathrm{eff}}^{3/2}$ proxy for the neoclassical transport coefficient in the $1/ν$ (banana) regime. By employing this differentiable approximation, for the first time, we optimize a finite-beta stellarator to directly reduce neoclassical ripple transport using reverse-mode differentiation. This ensures the cost of differentiation is independent of the number of controllable parameters. |
| title | Spectrally accurate, reverse-mode differentiable bounce-averaging algorithm and its applications |
| topic | Plasma Physics |
| url | https://arxiv.org/abs/2412.01724 |