Methods:
Crumble ground beef into a stockpot over medium-high heat; cook and stir until beef is crumbly, evenly browned, and no longer pink, 7 to 10 minutes. Drain and discard any excess grease.
Stir in carrots, celery, and onion; cook and stir until vegetables are soft, about 5 minutes.
Stir in potatoes, corn, green beans, undrained peas, tomato sauce, and crushed whole tomatoes. Season with black pepper; add bay leaf and thyme.
Pour in 1/4 cup water if needed, replenishing as needed while cooking.
Bring soup to a simmer; cover and cook, stirring regularly, until potatoes are tender, about 1 hour.