cs.AI updates on arXiv.org 10月16日
创新MHD均衡磁场计算方法
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本文提出一种新型数值方法,能够求解固定边界和旋转变换下的连续均衡磁场分布,优化多层级感知器参数以减少力残差。

arXiv:2510.13521v1 Announce Type: cross Abstract: Numerical computation of the ideal Magnetohydrodynamic (MHD) equilibrium magnetic field is at the base of stellarator optimisation and provides the starting point for solving more sophisticated Partial Differential Equations (PDEs) like transport or turbulence models. Conventional approaches solve for a single stationary point of the ideal MHD equations, which is fully defined by three invariants and the numerical scheme employed by the solver. We present the first numerical approach that can solve for a continuous distribution of equilibria with fixed boundary and rotational transform, varying only the pressure invariant. This approach minimises the force residual by optimising parameters of multilayer perceptrons (MLP) that map from a scalar pressure multiplier to the Fourier Zernike basis as implemented in the modern stellarator equilibrium solver DESC.

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MHD均衡磁场 数值计算 多层级感知器 旋转变换 磁场优化
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