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An invaluable reference for graduate students and academic researchers, this book introduces the basic terminology, methods and theory of the physics of flow in porous media. Geometric concepts, such as percolation and fractals, are explained and simple simulations are created, providing readers with both the knowledge and the analytical tools to deal with real experiments. It covers the basic hydrodynamics of porous media and how complexity emerges from it, as well as establishing key connections between hydrodynamics and statistical physics. Covering current concepts and their uses, this book is of interest to applied physicists and computational/theoretical Earth scientists and engineers seeking a rigorous theoretical treatment of this topic. Physics of Flow in Porous Media fills a gap in the literature by providing a physics-based approach to a field that is mostly dominated by engineering approaches.
The design of time-integration methods for steady state problems is discussed in this chapter, including a variety of methods for accelerating convergence to a steady state. A variety of convergence acceleration techniquesare discussed, includingways in which the time integration process itself may be optimized for steady state calculations. In this case, the accuracy of the time integration scheme is no longer a consideration. This enables the use of modified RK schemes of reduced computational complexity. Moreover, the schemes may be tailored to increase the allowable time step, thereby promoting more rapid convergence to a steady state. Moreover, they can be tailored to drive multigrid acceleration.