A cooking device includes a gridiron; a tray positioned to catch material that falls from the gridiron; a cover formed to at least partially enclose the gridiron; a chimney having a chimney base and a chimney top, the chimney base and chimney top forming an airflow passage through the chimney; the chimney, gridiron, and cover arranged such that when the chimney base is placed over a heat source, convection occurs from the chimney base and out through the chimney top, to the cover, and from the cover toward the gridiron, the cover formed with a protruding inner wall above the chimney which forms a junction to channel substantially all of the convection in a motion outward toward sides of the cover and down toward the gridiron; the chimney base and the tray arranged such that when the chimney base is placed over the heat source, heat is radiated from the chimney base toward the tray; the chimney top and gridiron arranged such that when the chimney base is placed over the heat source, heat is radiated from the chimney top laterally across an upper surface of the gridiron; and the gridiron and the tray formed to at least partially surround the chimney top, the chimney top protruding through the gridiron and extending above it.