Whatever business unit we have in PO, one specific BU (Ex: Shared AP BU) should get default in AP

Summary:

Total we have18 business units configured. But business want to setup one centralized business unit (Example: Shared AP BU) in payables. Whatever business unit we have in purchase order, once it is matched with AP invoice one specific BU (Example: Shared AP BU) should get default.

Is there any setup which makes the BU default at invoice. Please let us know the feasibility.