Abstract
The paper deals with the global gravity field modelling using the boundary element method (BEM). The direct BEM formulation is applied to a solution to the fixed gravimetric boundary-value problem. We present a new model of geopotential at ocean obtained by BEM using the DNSC08 global marine gravity field. This model is compared with EGM-2008. High performance computations together with an elimination of the far zones’ interactions allow a very refined integration over the all Earth’s surface. Such approach results in a high-resolution global gravity field modelling.
Keywords
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsReferences
Andersen, O.B., P. Knudsen, and P. Berry (2008). The DNSC08 ocean wide altimetry derived gravity field. Presented at EGU-2008, Vienna, Austria, April.
Aoyama, Y. and J. Nakano (1999). RS/6000 SP: Practical MPI Programming. IBM, Poughkeepsie, New York.
Barrett, R., M. Berry, T.F. Chan, J. Demmel, J. Donato, J. Dongarra, V. Eijkhout, R. Pozo, C. Romine, and H. Van der Vorst (1994). Templates for the solution of linear systems: building blocks for iterative methods. http://www.netlib.org/ templates/Templates.html
Becker, J. and D. Sandwell (2003). Accuracy and resolution of shuttle radar topography mission data. Geophys. Res. Lett., 30(9), 1467.
Bjerhammar, A. and L. Svensson (1983). On the geodetic boundary-value problem for a fixed boundary surface – satellite approach. Bull. Géod., 57, 382–393.
Brebbia, C.A., J.C.F. Telles, and L.C. Wrobel (1984). Boundary element techniques, theory and applications in engineering. Springer-Verlag, New York.
Čunderlík, R., K. Mikula, and M. Mojzeš (2008). Numerical solution of the linearized fixed gravimetric boundary-value problem. J. Geod., 82, 15–29.
Fašková, Z., R. Čunderlík, J. Janák, K. Mikula, and M. Šprlák (2007). Gravimetric quasigeoid in Slovakia by the finite element method. Kybernetika, 43/6, 789–796.
Grafarend, E.W. (1989). The geoid and the gravimetric boundary-value problem. Rep 18 Dept Geod, The Royal Institute of Technology, Stockholm.
Klees, R., M. Van Gelderen, C. Lage, and C. Schwab (2001). Fast numerical solution of the linearized Molodensky problem. J. Geod., 75, 349–362.
Koch, K.R. and A.J. Pope (1972). Uniqueness and existence for the geodetic boundary value problem using the known surface of the earth. Bull. Géod., 46, 467–476.
Lemoine, F.G., S.C. Kenyon, J.K. Factor, R.G. Trimmer, N.K. Pavlis, D.S. Chinn, C.M. Cox, S.M. Klosko, S.B. Luthcke, M.H. Torrence, Y.M. Wang, R.G. Williamson, E.C. Pavlis, R.H. Rapp, and T.R. Olson (1998). EGM-96 – The Development of the NASA GSFC and NIMA Joint Geopotential Model.
NASA Technical Report TP-1998-206861NIMA (2001) Department of Defense World Geodetic System 1984, Its Definition and Relationships With Local Geodetic Systems, 3rd Edition, National Geospatial-Intelligence Agency. Technical Report TR8350.2.
Pavlis, N.K., S.A. Holmes, S.C. Kenyon, and J.K. Factor (2008). An Earth Gravitational Model to Degree 2160: EGM2008, presented at the 2008 General Assembly of EGU, Vienna, Austria, April 13–18, 2008.
Schatz, A.H., V. Thomée, and W.L. Wendland (1990). Mathematical theory of finite and boundary element methods. Birkhäuser Verlag, Basel,⋅Boston,⋅Berlin.
Šprlák, M. and J. Janák (2006). Gravity field modeling. New program for gravity field modeling by spherical harmonic functions, GaKO, 1, 1–8.
Acknowledgements
Authors gratefully thank to the financial support given by grants: VEGA 1/3321/06, APVV-LPP-216-06 and APVV-0351-07.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2010 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Čunderlík, R., Mikula, K. (2010). On High-Resolution Global Gravity Field Modelling by Direct BEM Using DNSC08. In: Mertikas, S. (eds) Gravity, Geoid and Earth Observation. International Association of Geodesy Symposia, vol 135. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-10634-7_62
Download citation
DOI: https://doi.org/10.1007/978-3-642-10634-7_62
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-10633-0
Online ISBN: 978-3-642-10634-7
eBook Packages: Earth and Environmental ScienceEarth and Environmental Science (R0)