German submarine U-513 was a type IXC U-boat built for service in Nazi Germany's Kriegsmarine during World War II.

She was laid down on 26 April 1941 by the naval construction firm Deutsche Werft AG in Hamburg as yard number 309, and commissioned on 10 January 1942.

She was sunk by depth charges from a U.S. Martin PBM Mariner amphibious aircraft in the South Atlantic Ocean on 19 July 1943.

The submarine was powered by two MAN M 9 V 40/46 supercharged four-stroke, nine-cylinder diesel engines producing a total of 4,400 metric horsepower (3,240 kW; 4,340 shp) for use while surfaced, two Siemens-Schuckert 2 GU 345/34 double-acting electric motors producing a total of 1,000 shaft horsepower (1,010 PS; 750 kW) for use while submerged.

[4] U-513's first patrol began when she departed Kiel on 7 August 1942 and headed for the Atlantic by way of the gap between Iceland and the Faeroe Islands.

U-513 took part in two wolfpacks, namely: The wreck was found on 14 July 2011, at a depth of 130 m (430 ft), by Brazilian underwater archeologists from the Instituto Kat Schurmann, the Universidade do Vale do Itajaí (Univali) and geophysicists of the Coastal Planning and Engineering Company.

In 2014, a one-hour TV documentary on the history of this voyage featuring film from the era and the submarine's final resting place titled: The Ghost of U-513 was released and has been shown on the Smithsonian Channel.