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Čunderlík, Róbert, Macák, Marek, Kollár, Michal, Minarechová, Zuzana, and Mikula, Karol, 2025. 3D high-resolution numerical modelling of altimetry-derived marine gravity data. Journal of Geodesy, 99(4):33, doi:10.1007/s00190-025-01957-3.
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@ARTICLE{2025JGeod..99...33C,
author = {{{\v C}underl{\'i}k}, R{\'o}bert and {Mac{\'a}k}, Marek and {Koll{\'a}r}, Michal and {Minarechov{\'a}}, Zuzana and {Mikula}, Karol},
title = "{3D high-resolution numerical modelling of altimetry-derived marine gravity data}",
journal = {Journal of Geodesy},
keywords = {Altimetry-derived marine gravity data, High-resolution global gravity field modelling, Altimetry-gravimetry boundary-value problem, Finite volume method (FVM), Numerical solution, Large-scale parallel computations},
year = 2025,
month = apr,
volume = {99},
number = {4},
eid = {33},
pages = {33},
abstract = "{The paper presents 3D numerical modelling of the altimetry-derived
marine gravity data with the high horizontal resolution 1
{\texttimes} 1 arc min. The finite volume method (FVM) as a
numerical method is used to solve the
altimetry{\textendash}gravimetry boundary-value problem. Large-
scale parallel computations result in the disturbing potential
in every finite volume of the discretized 3D computational
domain between an ellipsoidal approximation of the Earth's
surface and an upper boundary chosen at altitude of 200 km.
Afterwards, the first, second or higher derivatives of the
disturbing potential in different directions can be numerically
derived using the finite differences. A crucial impact on
achieved accuracy has the process of preparing the Dirichlet
boundary conditions over oceans/seas. It is based on nonlinear
filtering of the geopotential generated on a mean sea surface
(MSS) from a GRACE/GOCE-based satellite-only global geopotential
model. The paper presents different types of the altimetry-
derived marine gravity data obtained on the DTU21\_MSS as well
as at higher altitudes of the 3D computational domain. The
altimetry-derived gravity disturbances on the DTU21\_MSS are
compared with those from recent datasets like DTU21\_GRAV or
SS\_v31.1. Standard deviations of the residuals are about 2.7
and 2.9 mGal, respectively. The obtained altimetry-derived
gravity disturbances at higher altitudes are compared with
airborne gravity data from the GRAV-D campaign in US showing
accuracy about 3 mGal. In addition, the gravity disturbing
gradients as the second derivatives or the third derivatives are
provided with the same high resolution on the DTU21\_MSS as well
as at different altitudes.}",
doi = {10.1007/s00190-025-01957-3},
adsurl = {https://ui.adsabs.harvard.edu/abs/2025JGeod..99...33C},
adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}
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