As the pasta cooks, get started on the sauce. Heat a large sauté pan over medium heat and add the olive oil with the garlic and cook, stirring, until golden. Add the clams and cook, stirring, for 1 minute. Add the wine, clam juice, tomatoes, and red pepper flakes and stir. Cover, reduce to a simmer, and cook until the clams open and the liquid has reduced and thickened slightly, about 5 minutes.