144
ERIC BLAYO AND LA URENT DEBREU
grid interaction process and to make the assimilation globally on
a multiresolution state vector (e.g. Barth et al., 2004).
It is possible in a variational method to manage simultaneously the
coupling problem and the assimilation problem. See for instance
Bounaim (1999) or Taillandier et al. (2004).
In a multiresolution modelling system, one has to choose which
data are assimilated on which grid. Since the model dynamics
depends on the grid resolution, and since the data themselves have
often been collected or processed with some spatial and temporal
resolution, this choice is not obvious and has consequences on the
quality of the identified solution.
References
Auclair, F., S. Casitas, and P. Marsaleix, 2000: Application of an inverse method to
coastal modelling. J. Atmos. Oceanic Technol., 17, 1368-1391.
Barnier, B., P. Marchesiello, A.P. de Miranda, J.M. Molines, and M. Coulibaly, 1998:
A sigma coordinate primitive equation model for studying the circulation in the
South Atlantic I, Model configuration with error estimates. Deep Sea Res., 45,
543-572.
Barth, A., A. Alvera-Azcarate, J.-M. Beckers, M. R i e n , L. Vandenbulke and Z. Ben
Bouallegue, 2004: Multigrid state vector for data assimilation in a tweway nested
model of the Ligurian sea. 36th International Liege Colloquium on Ocean Dynamics.
Bennett, A.F., 2002: Inverse modeling of the ocean and atmosphere. Cambridge University Press, 2002.
Berenger, J.-P., 1994: A perfectly matched layer for the absorption of electromagnetic
waves. J. Comput. Phys., 114, 185-200.
Blayo, E., and L. Debreu, 2005: Revisiting open boundary conditions from the point
of view of characteristic variables. Ocean Modelling, 9, 231-252.
Bounaim, A., 1999: Methodes de dbcomposition de domaine: application B la resolution
de problhmes de contr6le optimal. PhD thesis, Universite Grenoble 1.
Brezis, H., 1983: Analyse fonctionnelle. Masson.
Bruneau, C.-H., 2000: Boundary conditions on artificial frontiers for incompressible
and compressible Navier-Stokes equations. Math. Mod. and Num. Anal., 34,
303-314.
Bruneau, C.H., and E. Creusb, 2001: Towards a transparent boundary condition for
compressible Navier-Stokes equations. Int. J. Numer. Meth. Fluids, 36, 807-840.
Cailleau, S., 2004: Validation de mbthodes de contrainte aux frontihres d'un modhle
oceanique: application B un modhle hauturier de 1'Atlantique Nord et 9. un modhle
regional du Golfe de Gascogne. PhD thesis, Universite Grenoble 1.
Camerlengo, A.L., and J.J. O'Brien, 1980: Open boundary conditions in rotating
fluids. J. Comp. Phys., 35, 12-35.
Darblade, G., R. Baraille, A.-Y. Le Row, X. Carton, and D. Pinchon, 1997: Conditions limites non reflechissantes pour un modhle de Saint-Venant bidimensionnel
barotrope linbaris6. C.R. Acad. Sci. Paris, S6rie 1, 324, 485490.
ERIC BLAYO AND LA URENT DEBREU
grid interaction process and to make the assimilation globally on
a multiresolution state vector (e.g. Barth et al., 2004).
It is possible in a variational method to manage simultaneously the
coupling problem and the assimilation problem. See for instance
Bounaim (1999) or Taillandier et al. (2004).
In a multiresolution modelling system, one has to choose which
data are assimilated on which grid. Since the model dynamics
depends on the grid resolution, and since the data themselves have
often been collected or processed with some spatial and temporal
resolution, this choice is not obvious and has consequences on the
quality of the identified solution.
References
Auclair, F., S. Casitas, and P. Marsaleix, 2000: Application of an inverse method to
coastal modelling. J. Atmos. Oceanic Technol., 17, 1368-1391.
Barnier, B., P. Marchesiello, A.P. de Miranda, J.M. Molines, and M. Coulibaly, 1998:
A sigma coordinate primitive equation model for studying the circulation in the
South Atlantic I, Model configuration with error estimates. Deep Sea Res., 45,
543-572.
Barth, A., A. Alvera-Azcarate, J.-M. Beckers, M. R i e n , L. Vandenbulke and Z. Ben
Bouallegue, 2004: Multigrid state vector for data assimilation in a tweway nested
model of the Ligurian sea. 36th International Liege Colloquium on Ocean Dynamics.
Bennett, A.F., 2002: Inverse modeling of the ocean and atmosphere. Cambridge University Press, 2002.
Berenger, J.-P., 1994: A perfectly matched layer for the absorption of electromagnetic
waves. J. Comput. Phys., 114, 185-200.
Blayo, E., and L. Debreu, 2005: Revisiting open boundary conditions from the point
of view of characteristic variables. Ocean Modelling, 9, 231-252.
Bounaim, A., 1999: Methodes de dbcomposition de domaine: application B la resolution
de problhmes de contr6le optimal. PhD thesis, Universite Grenoble 1.
Brezis, H., 1983: Analyse fonctionnelle. Masson.
Bruneau, C.-H., 2000: Boundary conditions on artificial frontiers for incompressible
and compressible Navier-Stokes equations. Math. Mod. and Num. Anal., 34,
303-314.
Bruneau, C.H., and E. Creusb, 2001: Towards a transparent boundary condition for
compressible Navier-Stokes equations. Int. J. Numer. Meth. Fluids, 36, 807-840.
Cailleau, S., 2004: Validation de mbthodes de contrainte aux frontihres d'un modhle
oceanique: application B un modhle hauturier de 1'Atlantique Nord et 9. un modhle
regional du Golfe de Gascogne. PhD thesis, Universite Grenoble 1.
Camerlengo, A.L., and J.J. O'Brien, 1980: Open boundary conditions in rotating
fluids. J. Comp. Phys., 35, 12-35.
Darblade, G., R. Baraille, A.-Y. Le Row, X. Carton, and D. Pinchon, 1997: Conditions limites non reflechissantes pour un modhle de Saint-Venant bidimensionnel
barotrope linbaris6. C.R. Acad. Sci. Paris, S6rie 1, 324, 485490.