In embodiments, a melter for melting glass may include an inlet wall, an outlet wall opposite the inlet wall, and sidewalls extending from the inlet wall to the outlet wall. The inlet wall, outlet wall, and sidewalls define a glass melting space enclosed by a floor and a top. In embodiments, the inlet wall may comprise a glass contact wall comprising a glass contact surface facing the glass melting space. A superstructure of the inlet wall comprises a jack arch positioned over the glass contact wall and at least a portion of the glass melting space. A plane of an interior face of the jack arch and a plane of the glass contact surface are off-set in a horizontal direction. A vertical distance from the floor to an underside of the jack arch is less than a vertical distance from the floor to an underside of the top.