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Simulating non-Newtonian viscous fingering in a radial Hele-Shaw cell under cyclic injection pressure. Bridges the fluid shear of (7,13) and the acoustic sediment of (6,13) by resolving Darcy potential gradients, interfacial curvature tension, and tip-splitting bifurcations.
Between the shear ridges of (7,13) and the Chladni sediment traps, the gap between soil strata narrows to a fraction of a millimeter. Low-viscosity solvent is injected radially through a central borehole, displacing cold tar into fractal branching plumes. 黏度失稳在狭缝中撕裂出指状前沿,脉冲注压使每一次尖端分叉都在回缩时留下钙化的拓扑痕迹。
Simulated radial Saffman-Taylor instability with Young-Laplace curvature regularization on a dual-grid potential solver. The cyclic injection profile produced stable breathing oscillations (density span $0.327 \leftrightarrow 0.494$, motion delta 0.304) without interface blowup. Tip-splitting resolves crisply where interfacial velocity outpaces capillary relaxation, though the suction half-cycle introduces minor phase pinch near $r \to 0$. ASCII glyph gradient (`·` $\to$ `+` $\to$ `*` $\to$ `#` $\to$ `@`) accurately captures Darcy pressure falloff across the front.