ps uax | bpstat -P
For example, node #17:
ps uax | bpstat -P | grep -E "^17 "
All processes on the head node (i.e. those without a node assignment in the first column):
ps uax | bpstat -P | grep -E "^ "
All processes on the head node by a certain user:
ps uax | bpstat -P | grep -E "^ " | grep cbctest
A bit cleaner:
user=cbctest
ps uax | bpstat -P | grep -E "^ " | grep -v "grep $user" | grep -v root | grep $user
All processes on the head node by all users:
users=$(cat /etc/passwd | grep -F "/home/" | grep -E "(@|inactive)" | cut -d':' -f1)
for user in $users; do echo $user:; ps uax | bpstat -P | grep -E "^ " | grep -v "grep $user" | grep -v root | grep $user; done