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<TITLE>Seminario de Mecánica Computacional el 26/11 a las 17:30 hs</TITLE>
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<P DIR=LTR><SPAN LANG="es"><FONT FACE="Verdana">Estimados,</FONT></SPAN></P>
<P DIR=LTR><SPAN LANG="es"><FONT FACE="Verdana">El</FONT></SPAN><SPAN LANG="es"><B> <FONT FACE="Verdana">miércoles 26 de</FONT></B></SPAN><SPAN LANG="es"><B> <FONT FACE="Verdana">noviembre a las 17:30</FONT></B></SPAN><SPAN LANG="es"><FONT FACE="Verdana"> hs en el salón del Consejo de la FIUBA (Paseo Colón 850 PB) desarrollaremos un seminario de Mecánica Computacional.</FONT></SPAN></P>
<P DIR=LTR><SPAN LANG="es"><FONT FACE="Verdana">El expositor ser</FONT></SPAN><SPAN LANG="es"><FONT FACE="Verdana">á Víctor Calo (Ing.</FONT></SPAN><SPAN LANG="es"></SPAN><SPAN LANG="en-us"> <FONT FACE="Verdana">Civil FIUBA</FONT></SPAN><SPAN LANG="es"></SPAN><SPAN LANG="en-us"><FONT FACE="Verdana"> y</FONT></SPAN><SPAN LANG="es"></SPAN><SPAN LANG="en-us"><FONT FACE="Verdana"> Ph.D. U.</FONT></SPAN><SPAN LANG="es"></SPAN><SPAN LANG="en-us"> <FONT FACE="Verdana">Texas</FONT></SPAN><SPAN LANG="es"></SPAN><SPAN LANG="en-us"><FONT FACE="Verdana"></FONT></SPAN><SPAN LANG="es"></SPAN><SPAN LANG="en-us"> <FONT FACE="Verdana">at Austin¡</FONT></SPAN><SPAN LANG="es"></SPAN><SPAN LANG="en-us"></SPAN></P>
<P DIR=LTR><SPAN LANG="es"></SPAN><SPAN LANG="es"><FONT FACE="Verdana">Víctor está actualmente pasando a trabajar a</FONT></SPAN><SPAN LANG="es"><FONT FACE="Verdana">,</FONT></SPAN></P>
<P DIR=LTR><SPAN LANG="es"></SPAN><SPAN LANG="en-us"><FONT FACE="Verdana">Earth and Environmental Science and Engineering and Applied</FONT></SPAN></P>
<P DIR=LTR><SPAN LANG="en-us"><FONT FACE="Verdana">Mathematics and Computational Science, King Abdullah University of</FONT></SPAN></P>
<P DIR=LTR><SPAN LANG="es"><FONT FACE="Verdana">Science and Technology (KAUST)</FONT></SPAN><SPAN LANG="es"></SPAN></P>
<P DIR=LTR><SPAN LANG="es"><FONT COLOR="#000000" FACE="Verdana">El tema de la charla será:</FONT></SPAN><SPAN LANG="es"></SPAN></P>
<P DIR=LTR><SPAN LANG="es"><B></B></SPAN><SPAN LANG="es"><B><FONT SIZE=4 FACE="Verdana">Variational and Multiscale Modeling</FONT></B></SPAN></P>
<P DIR=LTR><SPAN LANG="es"></SPAN></P>
<P DIR=LTR><SPAN LANG="es"><I><U><FONT FACE="Verdana">Abstract</FONT></U></I></SPAN></P>
<P DIR=LTR><SPAN LANG="es"></SPAN></P>
<P DIR=LTR><SPAN LANG="es"><FONT FACE="Verdana">A variational framework for modeling non-linear multi-physics problems</FONT></SPAN></P>
<P DIR=LTR><SPAN LANG="es"><FONT FACE="Verdana">is presented for standard and isogeometric finite element methods. The</FONT></SPAN></P>
<P DIR=LTR><SPAN LANG="es"><FONT FACE="Verdana">variational formulation is designed such that fundamental mathematical</FONT></SPAN></P>
<P DIR=LTR><SPAN LANG="es"><FONT FACE="Verdana">and physical features of the solution are built into the weak form,</FONT></SPAN></P>
<P DIR=LTR><SPAN LANG="es"><FONT FACE="Verdana">while the formulation is kept flexible and robust. The construction of</FONT></SPAN></P>
<P DIR=LTR><SPAN LANG="es"><FONT FACE="Verdana">the variational form is twofold. First, a multiscale decomposition of</FONT></SPAN></P>
<P DIR=LTR><SPAN LANG="es"><FONT FACE="Verdana">the solution into coarse and fine scales is introduced a priori. The</FONT></SPAN></P>
<P DIR=LTR><SPAN LANG="es"><FONT FACE="Verdana">coarse scales are identified with the finite element approximation,</FONT></SPAN></P>
<P DIR=LTR><SPAN LANG="es"><FONT FACE="Verdana">while the fine scales are identified with the subgrid scales and need</FONT></SPAN></P>
<P DIR=LTR><SPAN LANG="es"><FONT FACE="Verdana">to be modeled. Using the Navier-Stokes equations as a model problem, a</FONT></SPAN></P>
<P DIR=LTR><SPAN LANG="es"><FONT FACE="Verdana">residual-based approximation of the fine scales is made, and</FONT></SPAN></P>
<P DIR=LTR><SPAN LANG="es"><FONT FACE="Verdana">alternative approximations of the fine scales based on element</FONT></SPAN></P>
<P DIR=LTR><SPAN LANG="es"><FONT FACE="Verdana">subproblems are currently being explored. Second, weak imposition of</FONT></SPAN></P>
<P DIR=LTR><SPAN LANG="es"><FONT FACE="Verdana">boundary conditions and coupling is used to introduce physical</FONT></SPAN></P>
<P DIR=LTR><SPAN LANG="es"><FONT FACE="Verdana">modeling when necessary. To discuss in detail the different parts</FONT></SPAN></P>
<P DIR=LTR><SPAN LANG="es"><FONT FACE="Verdana">inherent to the methodology, variational multiscale decomposition is</FONT></SPAN></P>
<P DIR=LTR><SPAN LANG="es"><FONT FACE="Verdana">used to derive a turbulence model for Large Eddy Simulation (LES) and</FONT></SPAN></P>
<P DIR=LTR><SPAN LANG="es"><FONT FACE="Verdana">weak imposition of boundary conditions is used to build a consistent</FONT></SPAN></P>
<P DIR=LTR><SPAN LANG="es"><FONT FACE="Verdana">wall model for wall-bounded turbulent flows. Following, this</FONT></SPAN></P>
<P DIR=LTR><SPAN LANG="es"><FONT FACE="Verdana">variational framework is used to model drug delivery in idealized and</FONT></SPAN></P>
<P DIR=LTR><SPAN LANG="es"><FONT FACE="Verdana">patient-specific geometrical models of the cardiovascular system,</FONT></SPAN></P>
<P DIR=LTR><SPAN LANG="es"><FONT FACE="Verdana">where the variational multiscale method is used to stabilize the weak</FONT></SPAN></P>
<P DIR=LTR><SPAN LANG="es"><FONT FACE="Verdana">form and weak imposition of boundary conditions is used to model</FONT></SPAN></P>
<P DIR=LTR><SPAN LANG="es"><FONT FACE="Verdana">endothelial permeability. In the simulations presented NURBS-based</FONT></SPAN></P>
<P DIR=LTR><SPAN LANG="es"><FONT FACE="Verdana">isogeometric analysis is employed to describe the geometry and</FONT></SPAN></P>
<P DIR=LTR><SPAN LANG="es"><FONT FACE="Verdana">discretize the balance equations. To conclude future research</FONT></SPAN></P>
<P DIR=LTR><SPAN LANG="es"><FONT FACE="Verdana">directions and applications will be discussed.</FONT></SPAN></P>
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