Browsing by Subject "Finite Elements"
Now showing items 1-6 of 6
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(2016-07-27)We present a new family of discrete-ordinates (Sn) angular quadratures based on discontinuous finite elements (DFEM) in angle. The angular domain is divided into spherical quadrilaterals (SQs) on the unit sphere surface. ...
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(2011-10-21)We study approximation techniques for incompressible flows with heterogeneous properties. Speci cally, we study two types of phenomena. The first is the flow of a viscous incompressible fluid through a rigid porous ...
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(Texas A&M University, 2007-04-25)The finite element method since its development in the 1950âÂÂs has been used extensively in solving complex problems involving partial differential equations. The conventional finite element methods use piecewise ...
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(2013-11-08)This work examines composite failure at multiple scales. The first scale that is examined is the fiber-matrix scale, where fibers and matrix are discretely modeled. A model is developed at this scale which includes ...
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(2015-05-04)We study and implement methods to solve the variable density Navier-Stokes equations. More specifically, we study the transport equation with the level set method and the momentum equation using two methods: the projection ...
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(2016-04-15)The research presented in this dissertation focus on the numerical approximation of the magnetohydrodynamic (MHD) equations in the von K´arm´an Sodium (VKS) set-up. These studies are performed with the SFEMaNS MHD code ...