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Journal of Engineering Thermophysics
Erschienen in: Journal of Engineering Thermophysics 1/2024

01.03.2024

Comparison of Two Numerical Models of Convection in the Earth’s Mantle

verfasst von: V. V. Chervov, G. G. Chernykh, I. B. Palymskiy

Erschienen in: Journal of Engineering Thermophysics | Ausgabe 1/2024

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Abstract

The three-dimensional convection in the Earth’s mantle is studied with a well-known mathematical model, which includes the Navier–Stokes equations in the Oberbeck–Boussinesq and geodynamic approximations. Two numerical models of convection are considered. The first is based on the implicit finite-difference schemes of splitting over spatial variables with correction of pressure. The second numerical model is based on the spectral difference method. The numerical models constructed were compared on model problems of convection in a rectangular parallelepiped in a liquid with constant viscosity, corresponding to the convection in the entire mantle of the Earth [1]. The calculation results are in good agreement with the test results.
Vorheriger Artikel Experimental Study of the Process of Dissociation of Methane Hydrate Accompanied by Its Combustion
Nächster Artikel Diagnostics of Oil Well Pumping Equipment by Using Machine Learning

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Literatur
1.
Busse, F.H., Christensen, U., Clever, R., Cserepes, L., Gable, C., Giannandrea, E., Guillou, L., Houseman, G., Nataf, H.-C., Ogawa, M., Parmentier, M., Sotin, C., and Travis, B., 3D Convection at Infinite Prandtl Number in Cartesian Geometry—A Benchmark Comparison, Geophys. Astrophys. Fluid Dyn., 1993, vol. 75, pp. 39–59.ADSCrossRef
2.
Bobrov, A.M. and Trubitsyn, V.P., Times of Restructuring of Mantle Flows Beneath Continents, Fiz. Zemli, 1995, vol. 7, pp. 5–13.
3.
Ismail-zade, A.T., Korotkii, A.I., Naimark, B.M, and Tsepelev, I.A., Numerical Simulation of Three-Dimensional Viscous Flows with Gravitational and Thermal Effects, Comput. Math. Math. Phys., 2001, vol. 41, no. 9, pp. 1331–1345.MathSciNet
4.
Chervov, V.V., Numerical Modeling of 3D Problems of Convection in the Earth Mantle, Using Vorticity and Vector Potential, Vych. Tekhnol., 2002, vol. 7, no. 1, pp. 114–125.MathSciNet
5.
Chervov, V.V., Numerical Modeling of 3D Problems of Convection in the Earth Mantle Using a Sequence of Meshes, Vych. Tekhnol., 2002, vol. 7, no. 3, pp. 85–92.MathSciNet
6.
Tychkov, S.A., Chervov, V.V., and Chernykh, G.G., Numerical Modeling of Thermal Convection in the Earth’s Mantle, Dokl. Earth Sci., 2005, vol. 402, no. 4, pp. 596–601.
7.
Tychkov, S.A., Chervov, V.V., and Chernykh, G.G., Numerical Modeling of 3D Convection in the Earth Mantle, Russ. J. Numer. An. Math. Model., 2005, vol. 20, no. 5, pp. 483–500.CrossRef
8.
Tychkov, S.A., Chervov, V.V., and Chernykh, G.G., A Numerical Model of Three-Dimensional Convection, Izv., Phys. Solid Earth, 2005, vol. 41, no. 5, pp. 383–398.
9.
Chervov, V.V., Modeling of 3D Convection in the Earth Mantle Using Implicit Method of Splitting in Physical Processes, Vych. Tekhnol., 2006, vol. 11, no. 4, pp. 73–86.
10.
Chervov, V.V., Modeling of 3D Convection in the Earth Mantle Using Implicit Method of Weak (Artificial) Compressibility, Vych. Tekhnol., 2009, vol. 14, no. 3, pp. 86–92.
11.
Chervov, V.V., Chernykh, G.G., Bushenkova, N.A., and Kulakov, I.Yu., Numerical Modeling of Three-Dimensional Convection in the Upper Mantle of the Earth Beneath Eurasia Lithosphere, Vych. Tekhnol., 2014, vol. 19, no. 5, pp. 101–114.
12.
Chervov, V.V. and Chernykh, G.G., Numerical Modeling of Three-Dimensional Convection in the Upper Mantle of the Earth Beneath Eurasia Lithosphere, J. Eng. Therm., 2014, vol. 23, no.2, pp. 105–111.CrossRef
13.
Bobrov, A.M. and Baranov, A.A., The Mantle Convection Model with Non-Newtonian Rheology and Phase Transitions: The Flow Structure and Stress Fields, Izv., Phys. Solid Earth, 2016, vol. 52, no. 1, pp. 129–143.ADSCrossRef
14.
Heister, T., Dannberg, J., Gassmöller, R., and Bangerth, W., High Accuracy Mantle Convection through Modern Numerical Methods. II: Realistic Models and Problems, Geophys. J. Int., 2017, vol. 210, no. 2, pp. 833–851.ADSCrossRef
15.
Chervov, V.V. and Chernykh, G.G., Numerical Modeling of Convection in the Zone of Spreading and Subduction, J. Eng. Therm., 2019, vol. 28, no. 1, pp. 14–25.CrossRef
16.
Trubitsyn, A.P. and Trubitsyn, V.P., Temperature Distribution in the Earth’s Mantle, Dokl. Earth Sci., 2020, vol. 495, no. 2, pp. 905–909.
17.
Chuvaev, A.V., Baranov, A.A., and Bobrov, A.M., Numerical Modelling of Mantle Convection in the Earth Using Cloud Technologies, Comput. Technol., 2020, vol. 25, no. 2, pp. 103–117.
18.
Trubitsyn, A.P. and Trubitsyn, V.P., The Heat Balance in the Earth, Dokl. Earth Sci., 2021, vol. 500, no. 1, pp. 746–750.
19.
Chervov, V.V., Bushenkova, N.A., and Chernykh, G.G., Tectonic Depressions on the East-European and Siberian Platforms: Numerical Modeling of Convection Beneath the Eurasian Continent, Geodin. Tektonofiz., 2021, vol. 12, no. 1, pp. 84–99; https://​doi.​org/​10.​5800/​GT-2021-12-1-0514CrossRef
20.
Chervov, V.V. and Chernykh, G.G., On Mathematical Modeling of Convection in the Upper Mantle of Earth, J. Eng. Therm., 2023, vol. 32, no. 1, pp. 36–48.CrossRef
21.
Dobretsov, N.L., Kirdyashkin, A.G., and Kirdyashkin, A.A., Glubinnaya geodinamika (Depth Geodynamics), 2nd ed., Novosibirsk: SO RAN, 2001.
22.
DeLuca, E.E., Werne, J., Rosner, R., and Cattaneo, F., Numerical Simulation of Soft and Hard Turbulence: Preliminary Results for Two-Dimensional Convection, Phys. Rev. Lett., 1990, vol. 64, no. 20, pp. 2370–2373.ADSCrossRef
23.
Cortese, T. and Balachandar, S., Vortical Nature of Thermal Plumes in Turbulent Convection, Phys. Fluids. A, 1993, vol. 5, no. 12, pp. 3226–3232.ADSCrossRef
24.
Curry, J.H., Herring, J.R., Loncaric, J., and Orszag, S.A., Order and Disorder in Two- and Three-Dimensional Benard Convection, J. Fluid Mech., 1984, vol. 147, pp. 1–38.ADSCrossRef
25.
Gershuni, G.Z. and Zhukhovitskii, E.M., Convective Stability of Incompressible Fluids, Jerusalem: Israel Program for Scientific Translations, 1976.
26.
Palymskiy, I.B., Gertsenshtein, S.Ya., and Sibgatullin, I.N., Intense Turbulent Convection in a Horizontal Plane Liquid Layer, Izv. Atmosph. Oceanic Phys., 2008, vol. 44, no. 1, pp. 72–82.ADSCrossRef
27.
Palymskiy, I., Turbulentnaya konvektsiya Releya–Benara. Chislennyi metod i resultaty raschetov, Germany: LAP, 2011.
28.
Kerr, R.M., Rayleigh Number Scaling in Numerical Convection, J. Fluid Mech., 1996, vol. 310, pp. 139–179.ADSCrossRef
29.
Thual, O., Zero-Prandtl-Number Convection, J. Fluid Mech., 1992, vol. 240, pp. 229–258.ADSCrossRef
30.
Palymskiy, I.B., Fomin, P.A., and Hieronymus, H., Rayleigh–Benard Convection in a Chemical Equilibrium Gas (Simulation of Surface Detonation Wave Initiation), Appl. Math. Model., 2008, vol. 32, no. 5, pp. 660–676.CrossRef
31.
Trim, S.J., Butler, S.L., and Spiteri, R.J., Benchmarking Multiphysics Software for Mantle Convection, Comput. Geosci., 2021, vol. 154, p. 104797.CrossRef
Metadaten
Titel
Comparison of Two Numerical Models of Convection in the Earth’s Mantle
verfasst von
V. V. Chervov
G. G. Chernykh
I. B. Palymskiy
Publikationsdatum
01.03.2024
Verlag
Pleiades Publishing
Erschienen in
Journal of Engineering Thermophysics / Ausgabe 1/2024
Print ISSN: 1810-2328
Elektronische ISSN: 1990-5432
DOI
https://doi.org/10.1134/S1810232824010041

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