High-order direct Stokes solvers with or without temporal splitting :numerical investigations of their comparative properties
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In this thesis we address the numerical approximation of the incompressible Navier-Stokes equations evolving in a moving domain with the spectral element method and high order time integrators. First, we present the spectral element method and the basic to ...
Continuum-scale equations of radiative transfer and corresponding boundary conditions are derived for a general case of a multi-component medium consisting of arbitrary-type, non-isothermal and non-uniform components in the limit of geometrical optics. The ...
In this thesis we investigate different ways of approximating the solution of the chemical master equation (CME). The CME is a system of differential equations that models the stochastic transient behaviour of biochemical reaction networks. It does so by d ...
Optimal control and shape optimization techniques have an increasing role in Fluid Dynamics problems governed by partial differential equations (PDEs). In this paper, we consider the problem of drag minimization for a body in relative motion in a fluid by ...
The main goal of this work is to devise robust iterative strategies to partition the solution of the Navier-Stokes equations in a three-dimensional (3D) domain, into non overlapping 3D subdomains, which communicate through the exchange of averaged/integrat ...
International Journal for Numerical Methods in Biomedical Engineering2011
The U.S.-NRC best-estimate system code TRACE adopts a finite volumes, first-order upwind discretization scheme to solve the dissolved-solute convection equation. Such a scheme is known to strongly suffer from numerical diffusion, which can be a significant ...
In order to better understand the sources of numerical instabilities occurring in the simulation of time-dependent flows of viscoelastic fluids at high Weissenberg numbers, we have used various types of linear stability analyses. In complement to the limit ...
A preconditioned two-level overlapping Schwarz method for solving unstructured nodal discontinuous Galerkin discretizations of the indefinite Helmholtz problem is studied. We employ triangles in two dimensions and in a local discontinuous Galerkin (LDG) va ...
Actually little is known on the physical processes involved in avalanches or debris flows. We tackle this difficult issue by carrying out idealized experiments, where we focus on the motion of highly time-dependent flows of non-Newtonian fluids. The object ...
Centrifugal pumps are required to sustain a stable operation of the system they support under all operating conditions. Minor modifications of the surfaces defining the pump's water passage can influence the tendency to unstable system operation significan ...