Publication

A one-dimensional reactive multi-component transport model for biodegradation of petroleum hydrocarbons in groundwater

Related publications (54)

Finite element approximation of multi-scale elliptic problems using patches of elements

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 ...

Springer-Verlag2005

Fully discrete heterogeneous Multiscale methods and application to transport problems in microarrays

Assyr Abdulle

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 ...

EMS2005

A multi-domain method for solving numerically multi-scale elliptic problems

Jacques Rappaz

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 ...

2004

Implicit micro-macro methods

Marco Picasso

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 ...

2004

Modified fixed point algorithm in fluid–structure interaction

Fabio Nobile, Simone Deparis, Luca Formaggia

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 ...

2003

One-dimensional models for blood flow in arteries

Alfio Quarteroni, Luca Formaggia

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 ...

2003

Numerical simulation of three-dimensional free surface flows

Jacques Rappaz, Marco Picasso, Vincent Maronnier

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 ...

2003

WEC-C: A distributed, deterministic catchment model - Theory, formulation and testing

David Andrew Barry

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 ...

2001

One-dimensional model of many-exciton effects in photoluminescence spectra

Vincenzo Savona, Paolo Schwendimann, Cristiano Ciuti

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 ...

2000

Chemical reactions in the deep earth

Philippe Gillet

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 ...

1997

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