Gravity or density currents constitute a wide class of flows that are generated and maintained due to the density difference between two or even more fluids. The density difference between two fluids, usually arises from corresponding differences in temperature or salinity. However, this density difference can also arise by the presence of suspended sediment particles. Such particle-laden flows, in the case of sediment-laden water that enters a water basin, are classified into three major categories according to their density difference with the ambient fluid: (a) hypopycnal currents, when the density of the sediment-laden water is lower than that of the receiving water basin, (b) homopycnal currents, when the density of the sediment-laden water is almost equal to the density of the receiving water basin and (c) hyperpycnal currents, when the density of the sediment-laden water is greater than that of the receiving water basin. The most common example of such particulate currents, is a type of currents that are usually formed at river outflows into the sea, lakes or reservoirs. During floods, the suspended sediment concentration of river waters rises to a great extent. Therefore, when the sediment-laden river discharges into the water of a receiving basin, it plunges underneath the free surface forming a hyperpycnal plume that continuous to flow along the bottom of the basin. This hyperpycnal plume is also known as turbidity current. Turbidity currents can travel remarkable distances along the bottom of the sea, lakes or reservoirs, transferring, eroding and depositing large amounts of suspended sediment particles. Therefore, the study and understanding of such complex and rare phenomena is of great importance, as they constitute one of the major mechanisms for suspended sediment transport from rivers into the ocean or into lakes and reservoirs. Turbidity currents are very difficult to be observed and studied in the field, due to their rare and unexpected occurrence nature as they are usually formed during flood river discharges. Therefore, field investigations are usually limited to the study of the deposits originating from turbidity currents, aiming to identify various depositional and erosional elements such as lobes, levees and subaqueous channels. Scaled laboratory experiments constitute a widely used alternative method for simulating and studying the dynamics as well as the erosional and depositional characteristics of turbidity currents, providing valuable and detailed results. However, laboratory experiments are usually limited in the study of small-scale turbidity currents. Moreover, the installation, maintenance and operation of the required experimental set-ups, demands a lot of time and money. On the other hand, mathematical and numerical models when properly designed and tested against field or laboratory data, can constitute a quite promising tool for understanding and predicting the hydrodynamics of three-dimensional turbidity currents as well as their erosional and depositional characteristics. T...