How to add a new partition with LVM.
First you have to initialize the physical volume for use by LVM with the following command:
# pvcreate /dev/sda1
A message will appear indicating you that the physical volume was succesfully initialized. In case you have trouble doing this and get a message like:
Couldn't find device with uuid '1rP8Ah-Dmzw-UdoD-ENyx-MMVz-lhG9-PMc0DP'
All you have to do is remove the missing physical volumes like this:
# vgreduce --removemissing "VolGroup_Name"
This will do the trick.
Now we add the physical volume to the already existing volume group:
# vgextend "VolGroup_Name" /dev/sda1
Now the physical volume was added to the volume group and you can resize it according to your needs with something like this:
# lvextend --size +4G "LogicalVolumePath"
Hope this works for you.