Browsing by Author "Guermond, Jean-Luc"
Now showing items 21-40 of 76
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Patty, Spencer (2017-07-12)The motion of a biological cell in liquid is a rich subject for modeling. In the early 1970’s, it was realized by Canham that biological vesicles with lipid bilayer membranes reach a steady state shape that minimizes ...
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Tomov, Vladimir (2014-04-18)In this dissertation we consider two major subjects. The primary topic is the Entropy Viscosity method for Lagrangian hydrodynamics, the goal of which is to solve numerically the Euler equations of compressible gas dynamics. ...
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Guermond, Jean-Luc; Popov, Bojan (SIAM Journal on Numerical Analysis, 2016)
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Ern, Alexandre; Guermond, Jean-Luc (Mathematical Modelling and Numerical Analysis / Modélisation mathématique et analyse numérique, 2006)
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Mittal, Ankita (2020-04-21)The emergence of flow-thermodynamic interactions and dilatational velocity field renders the evolution of perturbations in high Mach number flows significantly different from those in incompressible flows. These effects ...
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Delchini, Marc (2014-10-13)The work presented in this dissertation focuses on the application of the entropy viscosity method to low-Mach single- and two-phase flow equations discretized using a continuous Galerkin finite element method with implicit ...
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Owen, Justin Ian (2019-09-03)The surface finite element method is an important tool for discretizing and solving elliptic partial differential equations on surfaces. Recently the surface finite element method has been used for computing approximate ...
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Till, Andrew (2015-12-01)The standard multigroup (MG) method for energy discretization of the transport equation can be sensitive to approximations in the weighting spectrum chosen for cross-section averaging. As a result, MG often inaccurately ...
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Till, Andrew Thomas (2014-04-29)The standard multigroup (MG) method for energy discretization of the transport equation can be sensitive to approximation in the weighting spectrum chosen for cross-section averaging. As a result, MG often inaccurately ...
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Hua, Yuchen (2019-05-24)In this dissertation we develop high order invariant domain preserving schemes for general hyperbolic systems. The schemes are based on the general central schemes of formally second, third and fourth order accuracy. The ...
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Quezada De Luna, Manuel (2016-07-27)We develop numerical methods to solve the linear scalar conservation law fulfilling the maximum principle. To do this we use continuous and discontinuous Galerkin finite elements and achieve the preservation on the maximum ...
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Guermond, Jean-Luc; Minev, Peter (SIAM Journal on Scientific Computing, 2015)
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Higher Order Discontinuous Finite Element Methods for Discrete Ordinates Thermal Radiative Transfer Maginot, Peter G (2015-07-28)The linear discontinuous finite element method (LDFEM) is the current work horse of the radiation transport community. The popularity of LDFEM is a result of LDFEM (and its Q1 multi-dimensional extensions) being both ...
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Lou, Jijie (2020-04-14)Simulations for obtaining quantities of interest of neutron transport problems need to be accurate and inexpensive. Discretization in energy has been a historical problem due to the resonances. There are two main approaches ...
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Laboure, Vincent Matthieu (2016-07-13)In this dissertation, we focus on solving the linear Boltzmann equation -- or transport equation -- using spherical harmonics (PN) expansions with fully-implicit time-integration schemes and Galerkin Finite Element spatial ...
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Boutros, Clara (2021-07-06)The purpose of this research is to provide discrete ordinates transport discretization methods for RZ geometry that have second order truncation error for the problems that have smooth solutions, accurate solution for thick ...
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Bonito, Andrea; Guermond, Jean-Luc; Luddens, Francky (Mathematical Modelling and Numerical Analysis / Modélisation mathématique et analyse numérique, 2016)
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Vaquer, Pablo A (2022-12-15)The purpose of this research is to reduce the runtime and improve the accuracy of deterministic neutron transport simulations. Here, we introduce the coarse-scattering (CS) method, and prove its ability to reduce the ...
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Guermond, Jean-Luc; Popov, Bojan (SIAM Journal on Numerical Analysis, 2016)
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Gegg, Brandon C. (2010-07-14)The manufacturing process has been a heavily studied area over the past century. The study completed herein has established a foundation for the future of manufacturing research. The next step of this industry is to become ...