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Earth, Planets and Space
Fig. 2 | Earth, Planets and Space

Fig. 2

From: The development and validation of a ‘flux-corrected transport’ based solution methodology for the plasmasphere refilling problem following geomagnetic storms

Fig. 2

a Square wave propagation without flux-correction. A square wave with constant amplitude propagating through a 1D problem domain: Lax–Wendroff scheme without flux-correction. The initial square wave is given in green; the square wave after 1 s is given in red. The fluctuations on the edges arise from the discontinuity in the initial square wave at the edges and the use of a second-order algorithm. b Square wave propagation with flux-correction. A square wave with constant amplitude propagating through 1D problem domain: Lax–Wendroff scheme with flux-correction. The initial square wave is given in green; the square wave after 1 s is given in red. The fluctuations on the edges observed in a are eliminated by use of flux-correction

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