There is no general method for Windows to ignore permissions,
except by resetting ownership and permissions for all files.
When shuttling between computers, this is not an acceptable solution.
The problem arrives when a user account is created on one computer,
so has no equivalent on the other computer.
The other computer will then call it "Unknown Account" and will assign it
some arbitrary and very limited permissions.
One solution is to only use an account that is common to all Windows
computers, for example the built-in Administrator account.
This account is disabled in Windows 7 and onward,
for good security reasons, so this solution is not advised.
To totally avoid such permissions problems, you could use a disk format
that has no permissions, instead of NTFS.
One such format is the old
FAT32
which lacks totally the notions of security and permissions.
Its disadvantage is that it is limited to files of size up to 4GB.
Its advantage is that it's universally supported on
all versions of Windows, Mac, Linux, game consoles, and practically anywhere
else.
If the 4GB limitation is unacceptable, the
exFAT
format is basically FAT64.
Its disadvantage is that it's proprietary and requires licensing from Microsoft.
It works with all versions of Windows from
XP Service Pack 3 and above (and/or on installation of
Windows XP Update KB955704)
and on modern versions of Mac OS X,
but requires additional software on Linux.