A one-dimensional reactive multi-component transport model for biodegradation of petroleum hydrocarbons in groundwater
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In this paper we present a method for the numerical solution of elliptic problems with multi-scale data using multiple levels of not necessarily nested grids. The method consists in calculating successive corrections to the solution in patches whose discre ...
A numerical model is presented for the simulation of complex fluid flows with free surfaces in three space dimensions. The model described in Maronnier et al. (J. Comput. Phys. 1999; 155(2):439) is extended to three dimensional situations. The mathematical ...
WEC-C is a distributed, deterministic, catchment-scale water flow and solute transport model containing a number of innovations not present in comparable models. For example, it allows for the imposition of catchment topological changes resulting from land ...
We solve numerically in one dimension and in the self-consistent ladder approximation the many-body problem of interacting electrons and holes. The model contains the minimal ingredients allowing to take into account the coexistence of a population of boun ...
Physical systems encompassing a variety of strongly coupled scales pose major computational challenges in terms of analysis modeling and simulation. In this report we first discuss a multiscale modeling approach for the transport of particles such as DNA i ...
Unlike in continuum approaches, time-dependent micro--macro calculations have been performed up to now almost exclusively using a simple explicit time marching algorithm, the exception being the pioneering work by Somasi and Khomami [J. Non-Newtonian Fluid ...
We describe an overview of the experimental chemistry and mineralogy of the Earth. The extreme pressure (1 to 365 GPa) and temperature (1000 to 6000 K) conditions prevailing in the deep Earth can be reproduced in the laboratory with shock techniques, multi ...
In this work, we address the numerical solution of some non-linear problems arising in the time discretization of fluid–structure interaction problems with fully implicit schemes. At each time step, we have to solve a highly non-linear coupled system, sinc ...
In this paper we present a family of iterative methods to solve numerically second order elliptic problems with multi-scale data using multiple levels of grids. These methods are based upon the introduction of a Lagrange multiplier to enforce the continuit ...
In this paper a family of one-dimensional nonlinear systems which model the blood pulse propagation in compliant arteries is presented and investigated. They are obtained by averaging the Navier-Stokes equation on each section of an arterial vessel and usi ...