Ohio Rev. Code § 4957.17: Writ of mandamus.

If a municipal corporation or railroad company refuses or neglects to comply with the orders or findings made by the court as provided in section 4957.16 of the Revised Code, the court may enforce its orders or findings by either mandamus or mandatory injunction, or as for contempt of court, as the necessity of the case requires, upon the application of either party to such proceedings.