Saffman-Taylor Infiltration

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CONCEPT

Viscous fingering in a radial Hele-Shaw cell under Darcy flow. Low-viscosity solvent invades a dense porous matrix, exhibiting modal harmonic tip-splitting, channel shielding, and isobaric seepage across a closed injection cycle.

LORE

Underneath the echelon sheaves, low-viscosity solvent forces an isobaric fracture along the bedrock interface. 压力梯度在多孔灰土中失稳,形成放射状指状分叉。The matrix does not yield by breaking, but by allowing itself to be flooded from the center out.

JOURNAL

Implemented radial Hele-Shaw instability where modal growth rate scales with azimuthal harmonic order $m$, damped by effective interfacial tension. 引入局部屏蔽效应 (channel shielding),主指尖吸收了邻近孔隙的压力势,导致次级分叉停滞。Density peaked at 0.645 at full injection stroke before retreating along isobaric contours. The glyph mapping (`· : + * # █`) maintained high boundary definition across the fingering envelope without dissolving into noise.