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Yuuichi Asahi committed Feb 26, 2025
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# Solving 2D Hasegawa-Wakatani turbulence with Fourier spectral method

For turbulence simulations, we sometimes consider periodic boundaries by assuming that a system is homogeneous and isotropic. Under the periodic bondary conditions, we can solve the system of equations with Fourier spectral method. Here, we consider a typical 2D turbulence plasma turbulence model, called Hasegawa-Wakatani equation `[Wakatani, 1984](#Wakatani1984)`. With kokkos and kokkos-fft, we can easily implement the code just like python while getting a significant acceleration.
For turbulence simulations, we sometimes consider periodic boundaries by assuming that a system is homogeneous and isotropic. Under the periodic boundary conditions, we can solve the system of equations with Fourier spectral method. Here, we consider a typical 2D turbulence plasma turbulence model, called Hasegawa-Wakatani equation `[Wakatani, 1984](#Wakatani1984)`. With kokkos and kokkos-fft, we can easily implement the code just like python while getting a significant acceleration.

## Numerical description

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