Jiading Campus now under construction is located in Shanghai International Automobile City in Anting. The colleges of Telecom Engineering, Software Engineering and Materials Engineering are located here.
The address is Residence Pengyuan, Building No.3, Tongji University No.4800 Caoan Rd, Jiading District 嘉定区曹安公路4800号, 同济大学嘉定校区朋园公寓3号楼.
You can go from the airport by taxi the trip takes about nearly 1.5 hours, at a cost of about 270RMB (night fare more than 300 RMB). And also by metro follow the signs to get to line 2; JIANGSU ROAD Station change to line 11 (direction HUAQIAO STATION) then get off at SHANGHAI AUTOMOTIVE CITY STATION, there are Tongji shuttle buses (from 6:30 a.m to 22:15 p.m, free) at the exit to Tongji Jiading Campus.
If you are going to stay at Jiading Campus, you should read this post about things to do before you arrive!
You can also check this useful guide made by a student in order to know more about the campus life.