Reservoir simulation is a crucial discipline within the field of petroleum engineering that plays a pivotal role in optimizing the extraction of hydrocarbons from subsurface reservoirs. This specialized area of study involves the mathematical modeling and computer simulation of reservoir behavior to predict and analyze fluid flow, pressure distribution, and overall reservoir performance. By employing advanced numerical techniques and reservoir engineering principles, professionals in this field strive to enhance reservoir management strategies, maximize oil and gas recovery, and make informed decisions regarding well placement, production rates, and injection strategies. As the global demand for energy continues to rise, the significance of reservoir simulation in ensuring efficient and sustainable hydrocarbon recovery becomes increasingly paramount. This course delves into the fundamental principles, simulation methods, and practical applications that empower students and practitioners to navigate the complex challenges inherent in reservoir engineering and contribute to the optimization of hydrocarbon reservoirs.