Coat beef lightly with flour.
Heat oil in a large saucepan over medium-high heat. Add beef and cook for 2 minutes each side.
Add carrots, onions, celery, tomatoes, and water to the pan. Cover and bring to boil, then reduce heat to low and simmer until tender.
Add thyme and beans. Season with salt and pepper. Cook for 5 minutes and serve.
Pro Tip: Serve over polenta.