ran across to her 其中 ran across 具体含义是什么

问题描述:

ran across to her 其中 ran across 具体含义是什么
原句:Two big,black dogs came into the kitchen after her and ran across to her.

偶然碰见,碰到Two big, black dogs 两条大黑狗
came into the kitchen after her 跟着她进了厨房

and ran across to her.在这里run across 显然不能解释为“偶然碰见,碰到”还有一个意思是跑着穿过across 有穿过的意思
ran across to her.从她身边穿过
书上翻译成“围着她转”,似乎略有不妥。