From your question and comments we conclude that you are stuck from migrating SharePoint 2010 to SharePoint 2013 using Database Attach Upgrade Process. And you migrating your SharePoint to a new domain, since you mentioned this
"(OldDomain\account1 -> newDomain\account1)".
Now I would like you to check and go through these articles and perform the steps.
Migration from SP 2010 to 2013 user permissions not working
SharePoint 2010/2013: How to Move SharePoint to a New Domain
And always have a checklist and plan before you migrate your SharePoint to new domain. Here you go SharePoint : Migrating SharePoint Server from one domain to another
If you are looking to migrate local windows users then as per my knowledge there isn't available a supported method to migrate local windows users without involving Active Directory (AD). The only way to handle this is to connect your comp1 server to Domain Controller (DC), which will promote all the local accounts to domain accounts. After this change you could join the new server to your domain as a DC and decommission the old server. That would do exactly what you want, but you'll have to use AD.
Hope this helps.