Following the Shimazu defeat at Sendaigawa, the Shimazu then retreated to their home castle of Kagoshima. Hideyoshi's forces numbering roughly 60,000, then made a landing, having set off from Akune. Under the leadership of Hashiba Hidenaga, Fukushima Masanori, Katō Kiyomasa and Kuroda Yoshitaka, they then surrounded the city. The land-based divisions, which were not on the boats from Akune, had traversed the volcanic valleys defending the city with the help of local monks.
In the end, however, no fighting took place, as the Shimazu surrendered.
Turnbull, Stephen (1998). 'The Samurai Sourcebook'. London: Cassell & Co.