🧄Divergence and Curl Analysis of Vector Fields

Divergence and curl are key to understanding vector fields. Divergence measures a field's expansion or compression, with positive values indicating a source, as seen in the demo's outward-flowing vectors. Curl quantifies a field's rotation. The demo's Rotational and Vortex Fields have non-zero curl, showing vectors spinning around a point. The visualization highlights that these properties are independent: a field can have rotation without expansion, and vice-versa. Additionally, a parameter can be used to control the strength and direction of a field, as demonstrated by the Rotational Field.

🎬Compute the divergence and curl of vector fields

Divergence and curl are powerful mathematical tools for describing the behavior of a vector field. Divergence visually corresponds to the expansion or contraction of the field, as seen in the Source Field, while curl corresponds to the rotation of the field, as seen in the Rotational and Vortex Fields. This visualizer helps you see how these abstract concepts relate directly to the physical "flow" represented by the vectors.

Compute the divergence and curl of vector fields

🧄Mathematical Proof

Divergence and Curl Analysis of Vector Fields | Proof and Derivationviadean on Notion