Portable, smokeless, indoor/outdoor grill

A cooking device comprising:

• a gridiron;
• a cover formed to at least partially enclose the gridiron;
• a tray positioned to catch material that falls from the gridiron, the tray comprising tray integral handles protruding through the cover;
• a chimney having a chimney base and a chimney top and a chimney channel, the chimney forming an enclosed airflow passage through the gridiron and tray;
• the chimney, the gridiron, and the cover arranged such that when the chimney base is placed over a heat source, convection occurs from the chimney base and through the chimney channel and out through the chimney top, to the cover, and from the cover toward the gridiron, the cover formed with a cover inner wall forming a perpendicular surface to the convection from out through the chimney top to channel substantially all of the convection toward curved 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 the 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.