sexual release; taking care of one's sexual urges
A direct, somewhat clinical or blunt term for dealing with sexual desire, often implying masturbation or a transactional act. Not a euphemism; can sound crude or technical depending on context.
Some people go to sex establishments for sexual release.
He seems to be dating solely for sexual gratification.
自慰 is a more clinical/formal term for masturbation, while 性欲処理 is broader and can include any act to satisfy sexual urges, not necessarily solo.
欲求不満 refers to sexual frustration (the state of unmet desire), whereas 性欲処理 is the act of resolving that frustration.
Compound of 性欲 (sexual desire) and 処理 (processing, handling, disposal). The term is straightforward and modern, with no special historical derivation.