Two-dimensional sketch of possible AMR grid configurations at the interface between two levels. Left: configuration 1 where cell i is at level ℓ and cell i − 1 at level ℓ + 1. Right: configuration 2 where cell i is at level ℓ and cell i − 1 at level ℓ − 1. In both sketches, the vertical red line represents the surface over which energy is exchanged when level ℓ is updated. Similarly, the horizontal dashed red line represents the gradient over which the flux is computed using the energy marked by a red star (the value is interpolated using the value represented by the attached blue circle).
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