Gramian solutions and solitonic interactions of a (2+ 1)-dimensional Broer–Kaup–Kupershmidt system for the shallow water

LQ Li, YT Gao, X Yu, GF Deng, CC Ding - International Journal of …, 2022 - emerald.com
Purpose This paper aims to study the Gramian solutions and solitonic interactions of a (2+ 1)-
dimensional Broer–Kaup–Kupershmidt (BKK) system, which models the nonlinear and …

3-D numerical modelling of crustal polydiapirs with volume-of-fluid methods

A Louis-Napoléon, M Gerbault… - Geophysical Journal …, 2020 - academic.oup.com
Gravitational instabilities exert a crucial role on the Earth dynamics and in particular on its
differentiation. The Earth's crust can be considered as a multilayered fluid with different …

Analytical solution for viscous incompressible Stokes flow in a spherical shell

C Thieulot - Solid Earth, 2017 - se.copernicus.org
I present a new family of analytical flow solutions to the incompressible Stokes equation in a
spherical shell. The velocity is tangential to both inner and outer boundaries, the viscosity is …

Analytical solutions for mantle flow in cylindrical and spherical shells

SC Kramer, DR Davies… - Geoscientific Model …, 2021 - gmd.copernicus.org
Computational models of mantle convection must accurately represent curved boundaries
and the associated boundary conditions of a 3-D spherical shell, bounded by Earth's surface …

Analytical solution of taylor circulation in a prolate ellipsoid droplet in the frame of 2d stokes equations

IV Makeev, IY Popov, RS Abiev - Chemical Engineering Science, 2019 - Elsevier
Exact solutions for the biharmonic Stokes equation for the stream function of the Stokes flow
were obtained for the prolate ellipsoid which mimics the shape of an elongated Taylor …

Analytical benchmark solution for Stokes flow with variable viscosity in spherical layer

IY Popov, I Makeev, IV Blinova - … in Computational Fluid …, 2018 - inderscienceonline.com
Stokes flow with variable viscosity in a spherical layer is considered. This task appears in
many geophysical problems related to mantle convection. For a particular case of …

A semi-analytic accuracy benchmark for Stokes flow in 3-D spherical mantle convection codes

A Horbach, M Mohr, HP Bunge - GEM-International Journal on …, 2020 - Springer
One of the main challenges in numerical mantle circulation simulations is the determination
of accurate solutions to the Stokes equation in combination with an additional constraint …

Modélisation d'instabilités gravitaires au sein de la croûte partiellement fondue par une méthode de Volume-Of-Fluid

A Louis-Napoléon - 2020 - theses.hal.science
Les instabilités gravitaires au sein des racines orogéniques partiellement fondues peuvent
être à l'origine du développement de dômes de migmatites. Non seulement ces dômes …

BENCHMARK SOLUTIONS FOR STOKES EQUATIONS WITH VARIABLE VISCOSITY IN CYLINDRICAL AND SPHERICAL COORDINATES

V Makeev Ilya, IY Popov, IV Blinova - Journal Scientific and Technical Of …, 2016 - ntv.ifmo.ru
Stokes flows in cylindrical and spherical geometry are considered. Such flows are rather
natural for geophysics. We derive some exact particular solutions of Stokes and continuity …

[PDF][PDF] Pedro Alcides Lobo Penna Firme

E Civil - 2022 - maxwell.vrac.puc-rio.br
Celso. Geomecânica de rochas salinas aplicada a projetos estratégicos de engenharia. Rio
de Janeiro, 2022. 248p. Tese de Doutorado-Departamento de Engenharia Civil e …