The error No such file or directory
means it cannot find the file. Given that the filename is relative to the current directory, you most probably are in one directory when you try it with R Studio and in another when you try it with knit.
Try using an absolute path for the file such as (Linux):
turnover = read.csv("/home/user/active_20120630.csv")
or (Windows)
turnover = read.csv("C:/My Project/active_20120630.csv")
Make sure to replace the path in the example above with the actual one.
Alternatively, you can modify your global settings in knit as @Mike.Gahan suggests.