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- David L. Brown, Ricardo Cortez, 2and, Michael L. Minion
- 2001

Accurate Projection Methods for the Incompressible Navier–Stokes Equations David L. Brown,∗,1 Ricardo Cortez,†,2and Michael L. Minion‡,3 ∗Center for Applied Scientific Computing, Lawrence Livermore National Laboratory, Livermore, California 94551; †Department of Mathematics, Tulane University, 6823 St. Charles Avenue, New Orleans, Louisianna 70118; and… (More)

- Ricardo Cortez
- SIAM J. Scientific Computing
- 2001

The method of regularized Stokeslets is a Lagrangian method for computing Stokes flow driven by forces distributed at material points in a fluid. It is based on the superposition of exact solutions of the Stokes equations when forces are given by a cutoff function. We present this method in three dimensions, along with an analysis of its accuracy and… (More)

- Josephine Ainley, Sandra Durkin, Rafael Embid, Priya Boindala, Ricardo Cortez
- J. Comput. Physics
- 2008

The image system for the method of regularized Stokeslets is developed and implemented. The method uses smooth localized functions to approximate a delta distribution in the derivation of the fluid flow due to a concentrated force. In order to satisfy zero-flow boundary conditions at a plane wall, the method of images derived for a standard (singular)… (More)

- Heather Flores, Edgar J. Lobaton, Stefan Milo Méndez-Diez, Svetlana Tlupova, Ricardo Cortez
- Bulletin of mathematical biology
- 2005

Certain bacteria, such as Escherichia coli (E. coli) and Salmonella typhimurium (S. typhimurium), use multiple flagella often concentrated at one end of their bodies to induce locomotion. Each flagellum is formed in a left-handed helix and has a motor at the base that rotates the flagellum in a corkscrew motion. We present a computational model of the… (More)

- Bree Cummins, Tomás Gedeon, Isaac Klapper, Ricardo Cortez
- Journal of theoretical biology
- 2007

Many arthropods use filiform hairs as mechanoreceptors to detect air motion. In common house crickets (Acheta domestica) the hairs cover two antenna-like appendages called cerci at the rear of the abdomen. The biomechanical stimulus-response properties of individual filiform hairs have been investigated and modeled extensively in several earlier studies.… (More)

- Svetlana Tlupova, Ricardo Cortez
- J. Comput. Physics
- 2009

A proof of high-order convergence of three deterministic particle methods for the convectiondiffusion equation in two dimensions is presented. The methods are based on discretizations of an integro-differential equation in which an integral operator approximates the diffusion operator. The methods differ in the discretization of this operator. The… (More)

- N. G. Cogan, Ricardo Cortez, Lisa Fauci
- Bulletin of mathematical biology
- 2005

A mathematical model of the action of antimicrobial agents on bacterial biofilms is presented. The model includes the fluid dynamics in and around the biofilm, advective and diffusive transport of two chemical constituents and the mechanism of physiological resistance. Although the mathematical model applies in three dimensions, we present two-dimensional… (More)

- Bree Cummins, Ricardo Cortez, Ivo M. Foppa, Justin Walbeck, James M. Hyman
- PLoS Computational Biology
- 2012

Mosquito host-seeking behavior and heterogeneity in host distribution are important factors in predicting the transmission dynamics of mosquito-borne infections such as dengue fever, malaria, chikungunya, and West Nile virus. We develop and analyze a new mathematical model to describe the effect of spatial heterogeneity on the contact rate between mosquito… (More)