Papers by R. Cortez

  1. Impulse-based Particle Methods for Fluid Flow.
    (Ph.D. Thesis, 1995). LBL Report No. 37206
  2. An Impulse-based Approximation of Fluid Motion Due to Boundary Forces.
    J. Comput. Phys., v. 123, (1996), pp. 341-353.
  3. Impulse Variables, Vortex Dipoles and Applications.
    in ESAIM Proceedings from the second International Workshop on Vortex Flows, Montreal, Canada, 1996.
  4. Convergence of High-order Deterministic Particle Methods for the Convection-diffusion Equation
    Comm. Pure Appl. Math., 50 (1997), pp. 1235-1260.
  5. The Dynamics of an Elastic Membrane Using the Impulse Method (with D. Varela)
    J. Comput. Phys., 138 (1997), pp. 224-247.
  6. On the Accuracy of Impulse Methods for Fluid Flow.
    SIAM J. Sci. Comput., 19, No. 4 (1998), pp. 1290-1302.
  7. A Vortex/impulse Method for Immersed Boundary Motion in High Reynolds Number Flows
    J. Comput. Phys., 160, (2000), pp. 385-400.
  8. The Blob Projection Method for Immersed Boundary Problems (with M. Minion).
    J. Comput. Phys., 161 (2000), pp. 428-453.
  9. A Numerical Method For Simulating Fast-Swimming Motions,
    In Computational Modeling in Biological Fluid Dynamics (L. Fauci and S. Gueron, ed.), IMA Volumes in Mathematics and its Applications, v. 124, (2001), Springer, pp. 65-70.
  10. Accurate Projection Methods for the Incompressible Navier-Stokes Equations (with D. Brown and M. Minion).
    J. Comput. Phys., 168 (2001), pp. 464-499.
  11. The Method of Regularized Stokeslets.
    SIAM J. Sci. Comput., 23, No. 4 (2001), pp. 1204-1225.
  12. Dynamics of Complex Interfaces I: Rheology, Diffusion and Morphology.
    (with A. El Afif, D. DeKee and D. P. Gaver III), J. Chem. Phys., 118, no. 22 (2003), pp. 10227-10243.
  13. Dynamics of Interfaces II: Diffusion and Morphology.
    (with A. El Afif, D. DeKee and D. P. Gaver III), J. Chem. Phys., 118, no. 22 (2003), pp. 10243-10253.
  14. Modeling of Mass Transport into Immiscible Polymeric Blends
    (with A. El Afif, D. DeKee and D. P. Gaver III), Macromolecules, 36 no. 24 (2003), pp. 9216 - 9229.
  15. Investigation of bend and shear waves in a geometrically exact elastic rod model.
    (with T. C. Bishop and O. O. Zhmudsky), J. Comput. Phys., 193, no. 2 (2004), pp. 642-665.
  16. La Dinámica de Fluidos y su Rol en el Estudio de Fenómenos Biológicos.
    Ciencia Al Día Internacional (on-line journal), Volume 5, Number 2, 2004.
  17. Simulation of Swimming Organisms: Coupling Internal Mechanics with External Fluid Dynamics.
    (with Lisa Fauci, Nathaniel Cowen and Robert Dillon), Computing in Science and Engineering, Vol. 6, No. 3, May/June 2004, pp 38-45.
  18. The Method of Regularized Stokeslets in Three Dimensions: Analysis, Validation, and Application to Helical Swimming.
    (with L. Fauci and A. Medovikov), Phys. Fluids, Vol. 17, 031504, 2005.
  19. Parametric Resonance in Immersed Boundaries.
    (with C.S. Peskin, J. Stockie and D. Varela), SIAM J. Appl. Math, Vol. 65(2), 2004, pp.494-520.
  20. A Study of Bacterial Flagellar Bundling.
    (with H. Flores, E. Lobaton, S. Mendez-Diez and S. Tlupova), Bull. Math. Biol., Vol. 67, 2005, pp.137-168.
  21. Modeling physiological resistance in bacterial biofilms.
    (with N. Cogan and L. Fauci), Bull. Math. Biol., Vol. 67, 2005, pp.831-853.
  22. Interaction between anthropod filiform hairs in a fluid environment.
    (with B. Cummins, T. Gedeon, and I. Klapper), J. Theoretical Biol., Vol. 247, 2007, pp.266-280.
  23. Fluid dynamics of self-propelled micro-organisms, from individuals to concentrated populations.
    (with L. Cisneros, C. Dombrowski, R. Goldstein, and J. Kessler), Experiments in Fluids, Vol. 43, 2007, pp.737-753.
  24. The Method of Images for Regularized Stokeslets, (with J. Ainley, S. Durkin, R. Embid and P. Boindala). J. Comput. Phys., Vol.227, 2008, pp. 4600-4616.
  25. Unexpected bipolar flagellar Arrangements and Long-range Flows Driven by Bacteria Near Solid Boundaries, (with L. Cisneros, J. Kessler, R. Ortiz and M. Bees). Phys. Rev. Lett. Vol.101(16), 2008, pp. 168102.
  26. Boundary Integral Solutions of Coupled Stokes and Darcy Flows, (with S. Tlupova). J. Comput. Phys., Vol. 228, 2009, pp. 158-179.
  27. R. Cortez, B. Cummins, K. Leiderman, D. Varela, Computation of Three-Dimensional Brinkman Flows Using Regularized Methods, J. Comput. Phys., 229(20), 2010, pp. 7609-7624.
  28. V. Aranda, R. Cortez, L. J. Fauci, Stokesian peristaltic pumping in a three-dimensional tube with a phase-shifted asymmetry, Physics of Fluids, 23, 2011, pp. 081901.
  29. J. C. Chrispell, R. Cortez, D. B. Khismatullin, L. J. Fauci, Shape oscillations of a droplet in an Oldroyd-B fluid, Physica D, 240(20), 2011, pp. 1593-1601.
  30. H. V. Nguyen, R. Ortiz, R. Cortez, L. J. Fauci, The action of waving cylindrical rings in a viscous fluid, J. Fluid Mech., 671, 2011, pp. 574-586.
  31. R. Cortez, M. J. Nicholas, Slender body theory for Stokes flows with regularized forces, CAMCoS, 7(1), 2012, pp. 33-62.
  32. B. Cummins, R. Cortez, I. M. Foppa, J. Walbeck, J. M. Hyman, A spatial model of mosquito host-seeking behavior, to appear in PLoS Computational Bology, 2012.

Papers submitted and in preparation

  1. High-order Interpolation Kernels With Explicit Formulas.
    (with R. Blake, C. Duncan, R. Miller and L. Pérez).

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