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

• Published in: Journal of engineering thermophysics Vol. 33; no. 1; pp. 29 - 38
• Main Authors: Chervov, V. V., Chernykh, G. G., Palymskiy, I. B.
• Format: Journal Article
• Language: English
• Published: Moscow Pleiades Publishing 01-03-2024; Springer Nature B.V
• Subjects: Boussinesq approximation; Convection; Earth mantle; Finite difference method; Fluid- and Aerodynamics; Mathematical models; Numerical models; Parallelepipeds; Physics; Physics and Astronomy; Thermodynamics
• ISSN: 1810-2328; 1990-5432
• DOI: 10.1134/S1810232824010041

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.