This technical review paper provides a comprehensive analysis of the significant strides made in recent years through the application of modern computational technology to enhance our understanding and predictive capabilities in the realm of complex fluid flow within porous media. Porous media, encompassing geological formations, industrial materials, and biological tissues, are integral to a multitude of industries, including oil and gas, environmental science, and biomedical engineering. The paper outlines the historical evolution of computational fluid dynamics (CFD) and its transition into a vital tool for simulating complex fluid flow in porous media. It highlights the underlying mathematical models and algorithms that have empowered researchers to delve into the intricate nature of fluid transport and the associated physical and chemical processes. Key components of this review include a survey of cutting-edge simulation techniques such as lattice Boltzmann methods, pore-scale modeling, and machine learning-driven approaches, each contributing to our ability to replicate, analyze, and predict fluid behavior within porous structures with increasing accuracy. Furthermore, the paper explores the impact of parallel computing, high-performance computing clusters, and advancements in software and hardware technologies on the scalability and efficiency of porous media simulations. The implications of these improvements for real-world applications, such as enhanced oil recovery, groundwater management, and drug delivery systems, are discussed in detail.