A Practical Introduction
Focusing on high-resolution upwind and centered methods, this book offers a practical exploration of advanced computational techniques widely used in various fields, particularly in Computational Fluid Dynamics. It provides insights into the application and effectiveness of these mature methods, making it a valuable resource for practitioners and researchers in the discipline.
The book provides an in-depth exploration of free-surface flows through partial differential equations, focusing on modern shock-capturing methods. It emphasizes finite volume upwind and centered techniques, which are crucial for simulating not only shallow water flows but also atmospheric dynamics, gas dispersion, and material mixtures. This revised edition enhances the original work with updated content, making it a valuable resource for understanding complex fluid dynamics in various applications.
This book presents a series of challenging mathematical problems which arise in the modeling of Non-Newtonian fluid dynamics. It focuses in particular on the mathematical and physical modeling of a variety of contemporary problems, and provides some results. The flow properties of Non-Newtonian fluids differ in many ways from those of Newtonian fluids. Many biological fluids (blood, for instance) exhibit a non-Newtonian behavior, as do many naturally occurring or technologically relevant fluids such as molten polymers, oil, mud, lava, salt solutions, paint, and so on. The term "complex flows" usually refers to those fluids presenting an "internal structure" (fluid mixtures, solutions, multiphase flows, and so on). Modern research on complex flows has increased considerably in recent years due to the many biological and industrial applications.