Matrix eigenvalue method for free-oscillations modelling of spherical elastic bodies

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985891%3A_____%2F17%3A00480847" target="_blank" >RIV/67985891:_____/17:00480847 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/00216208:11320/17:10366653

Výsledek na webu

<a href="http://dx.doi.org/10.1093/gji/ggx353" target="_blank" >http://dx.doi.org/10.1093/gji/ggx353</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1093/gji/ggx353" target="_blank" >10.1093/gji/ggx353</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Matrix eigenvalue method for free-oscillations modelling of spherical elastic bodies

Popis výsledku v původním jazyce

Deformations and changes of the gravitational potential of pre-stressed self-gravitating elastic bodies caused by free oscillations are described by means of the momentum and Poisson equations and the constitutive relation. For spherically symmetric bodies, the equations and boundary conditions are transformed into ordinary differential equations of the second order by the spherical harmonic decomposition and further discretized by highly accurate pseudospectral difference schemes on Chebyshev grids, we pay special attention to the conditions at the centre of the models. We thus obtain a series of matrix eigenvalue problems for eigenfrequencies and eigenfunctions of the free oscillations. Accuracy of the presented numerical approach is tested by means of the Rayleigh quotients calculated for the eigenfrequencies up to 500 mHz. Both the modal frequencies and eigenfunctions are benchmarked against the output from the Mineos software package based on shooting methods. The presented technique is a promising alternative to widely used methods because it is stable and with a good capability up to high frequencies.

Název v anglickém jazyce

Matrix eigenvalue method for free-oscillations modelling of spherical elastic bodies

Popis výsledku anglicky

Deformations and changes of the gravitational potential of pre-stressed self-gravitating elastic bodies caused by free oscillations are described by means of the momentum and Poisson equations and the constitutive relation. For spherically symmetric bodies, the equations and boundary conditions are transformed into ordinary differential equations of the second order by the spherical harmonic decomposition and further discretized by highly accurate pseudospectral difference schemes on Chebyshev grids, we pay special attention to the conditions at the centre of the models. We thus obtain a series of matrix eigenvalue problems for eigenfrequencies and eigenfunctions of the free oscillations. Accuracy of the presented numerical approach is tested by means of the Rayleigh quotients calculated for the eigenfrequencies up to 500 mHz. Both the modal frequencies and eigenfunctions are benchmarked against the output from the Mineos software package based on shooting methods. The presented technique is a promising alternative to widely used methods because it is stable and with a good capability up to high frequencies.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

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OECD FORD obor

10505 - Geology

Projekt

<a href="/cs/project/GA14-04372S" target="_blank" >GA14-04372S: Složitost zdrojů tektonických zemětřesení na různých časoprostorových škálách</a><br>

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2017

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Geophysical Journal International

ISSN

0956-540X

e-ISSN

—

Svazek periodika

211

Číslo periodika v rámci svazku

2

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

18

Strana od-do

1254-1271

Kód UT WoS článku

000412281300041

EID výsledku v databázi Scopus

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