Computational simulation methods have a range of applications in hydraulic and coastal engineering. This textbook provides an introductory but comprehensive coverage of these methods. It emphasizes the finite differences method with applications in reservoir management, closed-conduit hydraulics, free-surface channel flows, surface gravity waves, groundwater movement and mass transport processes. It focuses on applications rather than lengthy theories or derivations of complex formulas and is supported by a wealth of hands-on numerical examples, PowerPoint presentations, learning assignment projects and quizzes.