Numerical methods for hydraulic fracture propagation: a review of recent trends
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This project presents the theoretical background in electrophysiology that is used as a basis in the development of numerical methods for the simulation of heart’s electrical activity. We discuss the mathematical models currently used in cardiac electrophy ...
A 2D numerical flow model, developed at the Research unit of Hydrology, Applied Hydrodynamics and Hydraulic Constructions at ULg, has been applied to flows in a macro-rough channel. The model solves the shallow water equations (SWE) with a two length scale ...
Groundwater managers have often to face regional degradation of the quality of the groundwater under the pressure of diffuse pollution. One of the most problematic and widespread contaminant is certainly nitrate whose concentrations are found in many aquif ...
Groundwater managers have often to face regional degradation of the quality of the groundwater under the pressure of diffuse pollution. One of the most problematic and widespread contaminant is certainly nitrate whose concentrations are found in many aquif ...
The theory of discrete variational mechanics has its roots in the optimal control literature of the 1960's. The past ten years have seen a major development of discrete variational mechanics and corresponding numerical integrators, due largely to pioneerin ...
The contributions assembled in the present volume proceed from the lectures of the 2009 ALERT Geomaterials School devoted to the Failure in the multiphase geomaterials. The multiphase behaviour of geomaterials used to be mainly considered from the point of ...
A meso-scale model based on the evolution of the pore system and idealized as bimodal is numerically examined. A simplified evolution of the model reveals a series of characteristics that qualitatively agree with the observed macroscopic experimental findi ...
The scaling of turbulence-driven heat transport with system size in magnetically confined plasmas is reexamined using first-principles based numerical simulations. Two very different numerical methods are applied to this problem, in order to resolve a long ...
Switched dynamical systems have shown great utility in modeling a variety of systems. Unfortunately, the determination of a numerical solution for the optimal control of such systems has proven difficult, since it demands optimal mode scheduling. Recently, ...
This book offers a mathematical update of the state of the art of the research in the field of mathematical and numerical models of the circulatory system. It is structured into different chapters, written by outstanding experts in the field. Many fundamen ...
