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  Local quasigeoid modelling in spatial domain in Slovakia and its relation to the national vertical datum and EVRS-2019

Cunderlik, R., Macák, M., Papčo, J., Zahorec, P., Minarechová, Z., Jančovičová, M. (2023): Local quasigeoid modelling in spatial domain in Slovakia and its relation to the national vertical datum and EVRS-2019, XXVIII General Assembly of the International Union of Geodesy and Geophysics (IUGG) (Berlin 2023).
https://doi.org/10.57757/IUGG23-0516

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Item Permalink: https://gfzpublic.gfz.de/pubman/item/item_5016987 Version Permalink: https://gfzpublic.gfz.de/pubman/item/item_5016987_2
Genre: Conference Paper

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 Creators:
Cunderlik, Robert1, Author
Macák, Marek1, Author
Papčo, Juraj1, Author
Zahorec, Pavol1, Author
Minarechová, Zuzana1, Author
Jančovičová, Miroslava1, Author
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1IUGG 2023, General Assemblies, 1 General, International Union of Geodesy and Geophysics (IUGG), External Organizations, ou_5011304              

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 Abstract: We present local quasigeoid modelling in Slovakia treated in spatial domain. The finite element method (FEM) is used to solve numerically the fixed gravimetric boundary-value problem (FGBVP) directly on the Earth’s topography discretized with the high horizontal resolution 100 x 100 m. Here the input surface gravity disturbances as the oblique derivative boundary conditions are generated from a detailed map of the complete Bouguer anomalies and detailed digital terrain model. Together with the non-uniform resolution in the radial direction it results in a 3D unstructured mesh of finite elements with 5,287,500,000 unknowns. The FEM numerical solution is fixed to the GO_CONS_GCF_2_DIR_R6 satellite-only geopotential model on the upper boundary at the altitude of 230 km. Large-scale parallel computations are performed on a parallel cluster using 1.5 TB of distributed memory.

The obtained local quasigeoid model (Minarechová et al. 2021) is tested at 403 GNSS-levelling benchmarks. It is also compared with the local model computed in spectral domain using a combination of spherical harmonics, band-limited spherical radial basis functions and the residual terrain model technique (Bucha et al. 2016). Such a comparison clearly shows a low-frequency character of differences up to few cm without a significant correlation with topography. Surprisingly, the GNSS-levelling test indicates that the quasigeoid model computed in spectral domain fits better to the national vertical datum while the FEM soluition to EVRS-2019. Based on these analyses, we aim to discuss pros and cons of both approaches treated in spatial vs. spectral domain.

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Language(s): eng - English
 Dates: 2023
 Publication Status: Finally published
 Pages: -
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 Rev. Type: -
 Identifiers: DOI: 10.57757/IUGG23-0516
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Title: XXVIII General Assembly of the International Union of Geodesy and Geophysics (IUGG)
Place of Event: Berlin
Start-/End Date: 2023-07-11 - 2023-07-20

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Title: XXVIII General Assembly of the International Union of Geodesy and Geophysics (IUGG)
Source Genre: Proceedings
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Publ. Info: Potsdam : GFZ German Research Centre for Geosciences
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