An Improved Soil Ionization Representation to Numerical Simulation of Impulsive Grounding Systems
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Water retention curves approaching infinitely negative matric potentials at residual water content are widely employed to model soil moisture dynamics. When used in numerical simulations, these retention curves fail to satisfactorily describe evaporation f ...
The computation of the reachable set of states of a given dynamic system is an important step to verify its safety during operation. There are different methods of computing reachable sets, namely interval integration, capture basin, methods involving the ...
Soil erosion is an important environmental phenomenon that causes many side effects such as reduction of soil productivity in the fields and transportation of pollutants to non-contaminated areas. Extensive well designed and controlled flume experiments in ...
We focus our attention on the effects of introducing the fractional-in-space operator into a Lotka-Volterra competitive model describing population superdiffusion. First, we are interested in how cross superdiffusion influences the formation of spatial pat ...
The performance of embankment installation (EI) and trench installation (TI) culverts has been investigated through experimental, numerical, and analytical methods. However, there are few studies on the performance of trapezoidal TI (TTI) culverts. Therefo ...
The characteristic of effective properties of physical processes in heterogeneous media is a basic modeling and computational problem for many applications. As standard numerical discretization of such multiscale problems (e.g. with classical finite elemen ...
This paper presents an innovative method called Micro-cell technique to obtain the water retention curves of geomaterials particularly highly swelling clays such as MX-80 bentonite. This method is based on the controlled water content and measured suction ...
A 3D ALE Finite Element Method is developed to study two-phase flow phenomena using a new discretization method to compute the surface tension forces. The computational method is based on the Arbitrary Lagrangian-Eulerian formulation (ALE) and the Finite E ...
An analysis of a multiscale symmetric interior penalty discontinuous Galerkin finite element method for the numerical discretization of elliptic problems with multiple scales is proposed. This new method, first described in [A. Abdulle, C.R. Acad. Sci. Par ...
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 ...