A method of forming a vitreous bond abrasive article is presented that includes receiving, by a manufacturing device having one or more processors, a digital object comprising data specifying a plurality of layers of a vitreous bond abrasive article precursor. The vitreous bond abrasive article precursor includes abrasive particles bonded together by a vitreous bond precursor material and an organic compound. The vitreous bond abrasive article precursor further comprises at least one of: at least one tortuous cooling channel extending at least partially through the vitreous bond abrasive article precursor or at least one arcuate cooling channel extending at least partially through the vitreous bond abrasive article precursor. The method also includes generating, with the manufacturing device by an additive manufacturing process, the vitreous bond abrasive article precursor based on the digital object.