Abstract: The motion of conservative 2D thermals on beds with slope angles θ ranging from 5 to 90° is investigated theoretically and experimentally. Using a large number of experimental data, important flow characteristics, including ...

Abstract: Layer‐averaged equations describing the characteristics of a two‐dimensional unsteady inclined starting plume, which consists of two parts, i.e. a front part and a body part, are derived. A numerical model is formulated ...

Abstract: Two numerical models for 2D flood flows are presented. One model is first-order accurate and another is second-order accurate. Roe's numerical flux is used to develop the first-order accurate model, while second-order ...

Abstract: The first-order flux difference splitting scheme and its second-order extensions are investigated for their applicability to dam-break problems. Roe's first-order explicit scheme is first formulated using an approximate ...

Abstract: A modification to the well‐known Beam and Warming implicit scheme is proposed and is applied to one‐dimensional unsteady free‐surface flows. The proposed modification is based on the concept of conservative splitting of ...