Freshet

freshet \ˈfre-shət\ noun: 1. (archaic) stream, 2. a great rise or overflowing of a stream caused by heavy rains or melted snow, 3. a swelling quantity; influx {summer brings a freshet of tourists}

Etymology: Archaic English fresh stream or pool of freshwater + -et small one

A fleshet is an overflowing of meat.