Shallow River

Shallow Hill is where souls suffer slow and miserable deaths. When River McAllister escaped from Shallow Hill, she left her innocence behind--and some of her sanity, too. Now she's rebuilding her life with her dream man and life couldn't be better. Ryan Fitzgerald is everything you'd want in a man. Attractive, rich, an aspiring lawyer, and would do anything to keep River. But that's not the only thing that attracts her. It's his attentiveness, his possessiveness... maybe not so much his temper. When her relationship takes a dark turn, Ryan's estranged brother, Mako, is the only one who sees it. He knows exactly what Ryan is capable of, and it's not the first time he had to be a knight in shining armor. River came from Shallow Hill, though. She's never needed saving before. What Mako doesn't see, is that River is perfectly capable of taking care of herself. The only one who should be scared is Ryan. Trigger Warning: Shallow River is a dark romance that contains domestic violence, rape, violence, and sexual situations.

Replacing the Traditional Physical Model ApproachComputational models offer promise in improving the modeling of shallow water flows. As new techniques are considered, the process continues to change and evolve. Modeling Shallow Water Flows Using the Discontinuous Galerkin Method examines a technique that focuses on hyperbolic conservation l

This book presents the theory and computation of open channel flows, using detailed analytical, numerical and experimental results. The fundamental equations of open channel flows are derived by means of a rigorous vertical integration of the RANS equations for turbulent flow. In turn, the hydrostatic pressure hypothesis, which forms the core of many shallow water hydraulic models, is scrutinized by analyzing its underlying assumptions. The book’s main focus is on one-dimensional models, including detailed treatments of unsteady and steady flows. The use of modern shock capturing finite difference and finite volume methods is described in detail, and the quality of solutions is carefully assessed on the basis of analytical and experimental results. The book’s unique features include: • Rigorous derivation of the hydrostatic-based shallow water hydraulic models • Detailed treatment of steady open channel flows, including the computation of transcritical flow profiles • General analysis of gate maneuvers as the solution of a Riemann problem • Presents modern shock capturing finite volume methods for the computation of unsteady free surface flows • Introduces readers to movable bed and sediment transport in shallow water models • Includes numerical solutions of shallow water hydraulic models for non-hydrostatic steady and unsteady free surface flows This book is suitable for both undergraduate and graduate level students, given that the theory and numerical methods are progressively introduced starting with the basics. As supporting material, a collection of source codes written in Visual Basic and inserted as macros in Microsoft Excel® is available. The theory is implemented step-by-step in the codes, and the resulting programs are used throughout the book to produce the respective solutions.