What you said "汉语拼音是 lǚ。其中ǚ是韵母,音”与“。电脑打字时为了将ü与u区分,许多输入方案用笔v键输入ü。" is right. But when you input you should using "lv".
看看周围的人名就知道,姓于的,英文拼写为Yu 。有拼写为Yv的么?In U.S.A.,The pronunciation of 汉语拼音是from Taiwan or another word from Zhonghuaminguo.The 汉语拼音we are using is mainland汉语拼音 and pronunciation, it had been changed after 1949. It is a long story.