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add the explicit Patankar-Euler-Deflhard integrator #1720

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zingale opened this issue Jan 15, 2025 · 1 comment
Open

add the explicit Patankar-Euler-Deflhard integrator #1720

zingale opened this issue Jan 15, 2025 · 1 comment

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@zingale
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zingale commented Jan 15, 2025

This paper: https://arxiv.org/abs/2110.08035 descirbes a stable explicit integrator, Patankar-Euler-Deflhard. It appears first order, but they show how to use Richardson extrapolation with it. This may be an alternative to RKC, or at least it would be good to see how they compare.

@zingale
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zingale commented Jan 17, 2025

it seems that only the species equations fit into the Patankar-Euler decomposition. So we would need to do the energy evolution using a first-order explicit update. It is also not clear how reactions with like nuclei fit into the form, e.g.,

dY(C12)/dt = - ρ Y(C12)**2 N_A <σv>

or triple-alpha?

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