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

This paper considers the accuracy of projection method approximations to the initial–boundary-value problem for the incompressible Navier–Stokes equations. The issue of how to correctly specify numerical boundary conditions for these methods has been outstanding since the birth of the second-order methodology a decade and a half ago. It has been observed… (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)

- Heather Flores, Edgar Lobaton, Stefan 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)

- 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)

- 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, 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)

- Ricardo Cortez, Charles S. Peskin, John M. Stockie, Douglas Varela
- SIAM Journal of Applied Mathematics
- 2004

- Ricardo Cortez, Bree Cummins, Karin Leiderman, Douglas Varela
- J. Comput. Physics
- 2010

- Ricardo Cortez, Lisa Fauci, Nathaniel Cowen, Robert Dillon
- Computing in Science & Engineering
- 2004

Problems in biological fluid dynamics typically involve the interaction of an elastic structure with its surrounding fluid. A unified computational approach, based on an immersed boundary framework, couples the internal force-generating mechanisms of organisms and cells with an external, viscous, incompressible fluid. Computational simulation, in… (More)