BGK2D2V

BGK2D2V denotes the two-dimensional-in-space, two-dimensional-in-velocity BGK model. The current repository contains state allocation code and parameter dataclasses, but the full Engine path is not operational.

Current status

1. State2D2V allocates f, f_new, x, y, vx, and vy.
2. bgk2d2v_explicit_torch.py is registered, but step() is still a TODO placeholder.
3. BGK2D2V.ModelConfig does not contain scheme_params, which breaks the current Engine initialization path.
4. A CUDA implementation exists under cuda_kernel/BGK2D2V/explicit_2d2v/, but it is not wired into the registry.

The result is that BGK2D2V should currently be treated as an in-progress branch of the code base rather than an operational target.

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