Wind and sand
Initial state
Readouts
Sand grains
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Max height
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Crest lines
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Steepest step
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Migration
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Hops done
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Werner model: pick a sand cell, lift one grain, hop L cells downwind; deposit with p_s on sand (p_ns on bare ground), always in a lee shadow (slope < shadow angle). Slopes steeper than the repose angle avalanche. Barchans and transverse dunes emerge; sand is conserved.