Heat a large soup pot or Dutch oven over medium-high heat; add 2 tablespoons of the oil. Season the meat generously with salt and pepper. Sear the meat on all sides until well browned; this will take about 15 minutes. Wipe the pan out with a paper towel. Lower the heat to medium, add the oil to the pan. Add the carrot, onion, and celery to the pan and saute until tender, about 10 minutes. Return the meat to the pan with the water. Bring to a boil, adjust the heat to maintain a gentle simmer, cover, and cook for 1 1/2 hours or until the meat is just tender. Add the thyme, barley, and tomato, continue to simmer the soup, covered, for 45 minutes.