Publications and Conference Papers

International Journals and Reviews:

    *  M. Vázquez, A. Dervieux and B. Koobus.
       Multilevel optimization of a supersonic aircraft.
       Submitted to Finite Elements in Analysis and Design, 2002.
       Download Preprint (~1.2M)

    *  M. Vázquez, M. Ravachol, F. Chalot and M. Mallet.
       Multigrid schemes applied to the Navier-Stokes equations for laminar and
       turbulent, incompressible and compressible flows: the robustness issue.
       Submitted to International Journal of Numerical Methods in Fluids, 2002.
       Download Preprint (~1.4M)

    *  O.C. Zienkiewicz, P.Nithiarasu, R. Codina , M. Vázquez and P. Ortiz.
       The characteristic - based - split procedure: an efficient and
       accurate algorithm for fluid problems.
       International Journal of Numerical Methods in Fluids,  31, 359-392; 1999.

    *  A.Folch, M. Vázquez, R.Codina and J.Marti.  
       A fractional step finite element method for the Navier-Stokes equations applied to
       magma chamber withdrawal.
       Computer and Geosciences,   25, 263 - 275; 1999.

    *  R. Codina, M. Vázquez and O.C. Zienkiewicz.
       A fractional step method for the solution of compressible Navier - Stokes equations.
       Computational Fluid Dynamics Review 1998, edited by M. Hafez and K. Oshima.
       Volume I. World Scientific; 1998.

    *  R. Codina, M. Vázquez and O.C. Zienkiewicz.
       A General Algorithm for Compressible and Incompressible Flow. Part III:
       The Semi - Implicit form.
       International Journal of Numerical Methods in Fluids,  27, 13-32; 1998.

    *  P.Nithiarasu, O.C. Zienkiewicz, B.V.K. Satya Sai, K. Morgan, R. Codina and M. Vázquez.
       Shock capturing viscosities for the general fluid mechanics algorithm.
       International Journal of Numerical Methods in Fluids,  28, 1325-1353; 1998.

    *  A.Folch, J.Marti, R.Codina and M. Vázquez. 
       A numerical model for temporal variations during explosive central-vent eruptions.
       Journal of Geophysical Research,  103, 29, 20833 - 20899; 1998.

    *  H.G. Solari, M.A. Natiello and M. Vázquez. 
       Braids on the Poincare section: A laser example.
       Physical Review E.  54, 3185; 1996.

    *  O.C. Zienkiewicz, K. Morgan, B.V.K. Satya Sai, R. Codina and M. Vázquez.
       A General Algorithm for Compressible and Incompressible Flow. Part II: Tests on the
       Explicit Form.
       International Journal of Numerical Methods in Fluids,  20, 887-913; 1995.

Reports, Book Chapters and other Publications:

    *  M. Vázquez, A. Dervieux and B. Koobus.
       Aeroelastic coupling in sonic boom optimization of a supersonic aircraft.
       INRIA Report to appear, 2002.

    *  A. Dervieux, M. Vázquez, B. Koobus and Ch. Farhat
       Spatial discretization issues for the energy conservation in compressible flow
       problems in moving grids.
       INRIA Report to appear, 2002.

    *  M. Vázquez, A. Dervieux and B. Koobus
       Aerodynamical and sonic boom optimization of a supersonic aircraft.
       INRIA Report RR-4520, 2002. Download (~1.5 M)

    *  M. Vázquez, R. Codina and O.C. Zienkiewicz.
       Numerical modelling of compressible laminar and turbulent flow: The CBS algorithm.
       CIMNE Monography, Num. 50; April 1999.

    *  R. Codina, M. Vázquez and O.C. Zienkiewicz.
       A fractional step method for the solution of the Compressible Navier - Stokes equations.
       CIMNE Report, Num. 118; July 1997.

    *  R. Codina, M. Vázquez and O.C. Zienkiewicz.
       A General Algorithm for Compressible and Incompressible Flows. The Semi - Implicit form.
       CIMNE Report, Num. 108; February 1997.

    *  M. Vázquez, R. Codina and O.C. Zienkiewicz. 
       A fractional step method for the solution of the Navier - Stokes equations.
       CIMNE Report, Num. 103; 1996.
   
    *  R. Codina, E. Onate and M. Vázquez. 
       Progress Report on the Hermes Project .
       HERMES Project Report (Research Num. ALG91/11 STEP 2), Barcelona; 1993.

Articles in Conferences:

    *  M. Vázquez and A. Dervieux
       Gradient smoothness issues in supersonic shape design.
       Presented at the Workshop on Optimization in Partial Differential Equations and Applications.
       Heidelberg, Germany, October 7-9, 2002

    *  A. Dervieux, F. Courty, M. Vázquez and B. Koobus
       Additive multilevel optimization and its application to sonic boom reduction.
       Presented at Numerical Methods for Scientific Computing - JP60 Meeting
       Variational Problems and Applications. Jyvaskyla, Finland, June 14-15, 2002.
       Download Preprint (~1M).

    *  A. Dervieux, B. Koobus, C. Farhat, M. Vázquez, R. Carpentier and E. Schall
       Numerical models for computing unsteady fast flows and their interaction with structures.
       Presented in the WEHSFF 2002, West East High Speed Flow Field Conference.
       Marseille, France; April 2002.

    *  M. Vázquez, M. Ravachol and M. Mallet.
       Multigrid Applied to a Fully Implicit FEM Solver for Turbulent Incompressible Flows.
       Presented in the ECCOMAS 2001 Computational Fluid Dynamics Conference.
       Swansea, United Kingdom; September 2001. Download (~1M)

    *  M. Vázquez, G. Houzeaux and R. Codina. 
       Chimera type domain decomposition methods applied to fractional step finite element
       schemes for incompressible flows.
       Presented in the ECCOMAS 2000 Computational Fluid Dynamics Conference.
       Barcelona, Spain; September 2000. Download (~1M)

    *  P.Nithiarasu, O.C. Zienkiewicz, B.V.K. Satya Sai, K. Morgan, R. Codina and M. Vázquez.
       Shock capturing viscosities for the general algorithm.
       Presented in the 10th Int. Conf. on Finite Elements in Fluids. Tucson, USA;
       January 1998.

    *  R. Codina, M. Vázquez and O.C. Zienkiewicz.
       An implicit fractional step finite element method for incompressible and compressible flows.
       Presented in the 10th Int. Conf. on Finite Elements in Fluids. Tucson, USA;
       January 1998.

    *  M. Vázquez and R. Codina.
       Numerical Solution of the Navier Stokes Equations using a Splitting Technique with Multigrid Acceleration.
       Presented in the 4th. World Congress on Computational Mechanics.
       Buenos Aires, Argentina; June 1998.

    *  M. Vázquez and R. Codina. 
       Numerical Modelization of Compressible Turbulence.
       Presented in the IV Workshop in Advances in Turbulence, Fluid Dynamics in Geophysics and
       Turbulent Diffusion in the Environment. UPC, Barcelona, Spain; October 1998. (Unpublished)

    *  R. Codina, M. Vázquez and O.C. Zienkiewicz. 
       A fractional step method for compressible flows: boundary conditions and incompressible limit.
       Presented in the IX Finite Elements in Fluids, Venice, Italy; October 1995.

    *  E. Onate, R. Codina and M. Vázquez.
       Cost-efficiency analysis of finite element solutions for high speed Euler flows.
       Presented in the II European Conference on Computational
       Fluid Dynamics. Stuttgart, Germany; September 1994.

    *  H. Solari and M. Vázquez. 
       Caracterizacion de Sistemas Dinamicos.
       Presented as a poster in the 77th. National Physics Meeting of the Physics Argentine Association.
       Buenos Aires, Argentina; October 1992. (Unpublished)