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Our Research

Our group’s research is focused on two main themes which are inextricably connected. Our primary objective is to investigate, using numerical simulations, the physics of the interplay between turbulence and internal gravity waves in both mid-water and near the bottom/top and lateral boundaries of the ocean and lakes. read more…

A Spectral Element Approach for Modeling Soft Biological Tissue under High-Frequency Harmonic Excitation

W. Aquino, J.C. Brigham, M. Aguilo and P.J. Diamessis “A Spectral Element Approach for Modeling Soft Biological Tissue under High-Frequency Harmonic Excitation” , Computer Methods in Applied Mechanics and Engineering, 2011, 200, pg. 692-698.

Mass Transfer Model of Nanoparticle-Facilitated Contaminated Transport in Saturated Porous Media

W.L. Wan Johari, P. J. Diamessis and L.W. Lion “Mass Transfer Model of Nanoparticle-Facilitated Contaminated Transport in Saturated Porous Media”, Water Research. 2010 44, pg. 1028-1037.

The numerical solution of the pressure Poisson equation for the incompressible Navier-Stokes equations using a quadrilateral spectral multidomain penalty method

J.A. Escobar-Vargas, S.M. Joshi, P.J. Diamessis, C.F. Van Loan “The numerical solution of the pressure Poisson equation for the incompressible Navier-Stokes equations using a quadrilateral spectral multidomain penalty method” , (In preparation for SIAM Journal of...

A Quadrilateral Spectral Multidomain Penalty Method Model for High Reynolds Number Incompressible Stratified Flows

J.A. Escobar-Vargas, P.J. Diamessis and T. Sakai “A Quadrilateral Spectral Multidomain Penalty Method Model for High Reynolds Number Incompressible Stratified Flows” , (in review in the International Journal of Numerical Methods in Fluids).

Higher-order discontinuous element-based schemes for the inviscid shallow water equations: spectral multidomain penalty vs. discontinuous Galerkin methods

J.A. Escobar-Vargas, P.J. Diamessis and F.X. Giraldo “Higher-order discontinuous element-based schemes for the inviscid shallow water equations: spectral multidomain penalty vs. discontinuous Galerkin methods ”. Applied Mathematics and Computation ; 218, 2012, pg....