FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2023401324> ?p ?o ?g. }

• W2023401324 endingPage "264" @default.
• W2023401324 startingPage "223" @default.
• W2023401324 abstract "Abstract We describe nonlinear time-dependent numerical simulations of whole mantle convection for a Newtonian, infinite Prandtl number, anelastic fluid in a three-dimensional spherical shell for conditions that approximate the Earth's mantle. Each dependent variable is expanded in a series of 4,096 spherical harmonics to resolve its horizontal structure and in 61 Chebyshev polynomials to resolve its radial structure. A semiimplicit time-integration scheme is used with a spectral transform method. In grid space there are 61 unequally-spaced Chebyshev radial levels, 96 Legendre colatitudinal levels, and 192 Fourier longitudinal levels. For this preliminary study we consider four scenarios, all having the same radially-dependent reference state and no internal heating. They differ by their radially-dependent linear viscous and thermal diffusivities and by the specified temperatures on their isothermal, impermeable, stress-free boundaries. We have found that the structure of convection changes dramatically as the Rayleigh number increases from 105 to 106 to 107. The differences also depend on how the Rayleigh number is increased. That is, increasing the superadiabatic temperature drop, δT, across the mantle produces a greater effect than decreasing the diffusivities. The simulation with a Rayleigh number of 107 is approximately 10,000 times critical, close to estimates of that for the Earth's mantle. However, although the velocity structure for this highest Rayleigh number scenario may be adequately resolved, its thermodynamic structure requires greater horizontal resolution. The velocity and thermodynamic structures of the scenarios at Rayleigh numbers of 105 and 106 appear to be adequately resolved. The 105 Rayleigh number solution has a small number of broad regions of warm upflow embedded in a network of narrow cold downflow regions; whereas, the higher Rayleigh number solutions (with large δT) have a large number of small hot upflow plumes embedded in a broad weak background of downflow. In addition, as would be expected, these higher Rayleigh number solutions have thinner thermal boundary layers and larger convective velocities, temperatures perturbations, and heat fluxes. These differences emphasize the importance of developing even more realistic models at realistic Rayleigh numbers if one wishes to investigate by numerical simulation the type of convection that occurs in the Earth's mantle." @default.
• W2023401324 created "2016-06-24" @default.
• W2023401324 creator A5042198445 @default.
• W2023401324 date "1988-12-01" @default.
• W2023401324 modified "2023-10-17" @default.
• W2023401324 title "Numerical simulations of mantle convection: Time-dependent, three-dimensional, compressible, spherical shell" @default.
• W2023401324 cites W16290526 @default.
• W2023401324 cites W1966486728 @default.
• W2023401324 cites W1966890000 @default.
• W2023401324 cites W1967602903 @default.
• W2023401324 cites W1969429051 @default.
• W2023401324 cites W1975025131 @default.
• W2023401324 cites W1975883591 @default.
• W2023401324 cites W1979962982 @default.
• W2023401324 cites W1980785735 @default.
• W2023401324 cites W1981787457 @default.
• W2023401324 cites W1986845174 @default.
• W2023401324 cites W1988604055 @default.
• W2023401324 cites W1994038178 @default.
• W2023401324 cites W1996662624 @default.
• W2023401324 cites W1996932027 @default.
• W2023401324 cites W1998699223 @default.
• W2023401324 cites W2001201668 @default.
• W2023401324 cites W2007663494 @default.
• W2023401324 cites W2014056103 @default.
• W2023401324 cites W2015953722 @default.
• W2023401324 cites W2020207553 @default.
• W2023401324 cites W2021769408 @default.
• W2023401324 cites W2023465034 @default.
• W2023401324 cites W2026436006 @default.
• W2023401324 cites W2029566824 @default.
• W2023401324 cites W2032347576 @default.
• W2023401324 cites W2040086089 @default.
• W2023401324 cites W2040977943 @default.
• W2023401324 cites W2044472087 @default.
• W2023401324 cites W2045363789 @default.
• W2023401324 cites W2045948811 @default.
• W2023401324 cites W2048534120 @default.
• W2023401324 cites W2048747906 @default.
• W2023401324 cites W2049923710 @default.
• W2023401324 cites W2056703941 @default.
• W2023401324 cites W2062221814 @default.
• W2023401324 cites W2062914636 @default.
• W2023401324 cites W2071555048 @default.
• W2023401324 cites W2072841479 @default.
• W2023401324 cites W2075492123 @default.
• W2023401324 cites W2076574133 @default.
• W2023401324 cites W2080913678 @default.
• W2023401324 cites W2081332470 @default.
• W2023401324 cites W2088984756 @default.
• W2023401324 cites W2089565548 @default.
• W2023401324 cites W2103714738 @default.
• W2023401324 cites W2115914348 @default.
• W2023401324 cites W2120779898 @default.
• W2023401324 cites W2140425919 @default.
• W2023401324 cites W2148940799 @default.
• W2023401324 cites W2152582025 @default.
• W2023401324 cites W2155872377 @default.
• W2023401324 cites W2173726714 @default.
• W2023401324 cites W2176152707 @default.
• W2023401324 cites W261844512 @default.
• W2023401324 cites W4250557423 @default.
• W2023401324 cites W4255304426 @default.
• W2023401324 cites W4255346730 @default.
• W2023401324 doi "https://doi.org/10.1080/03091928808213626" @default.
• W2023401324 hasPublicationYear "1988" @default.
• W2023401324 type Work @default.
• W2023401324 sameAs 2023401324 @default.
• W2023401324 citedByCount "123" @default.
• W2023401324 countsByYear W20234013242012 @default.
• W2023401324 countsByYear W20234013242013 @default.
• W2023401324 countsByYear W20234013242014 @default.
• W2023401324 countsByYear W20234013242015 @default.
• W2023401324 countsByYear W20234013242016 @default.
• W2023401324 countsByYear W20234013242017 @default.
• W2023401324 countsByYear W20234013242018 @default.
• W2023401324 countsByYear W20234013242020 @default.
• W2023401324 countsByYear W20234013242021 @default.
• W2023401324 countsByYear W20234013242022 @default.
• W2023401324 countsByYear W20234013242023 @default.
• W2023401324 crossrefType "journal-article" @default.
• W2023401324 hasAuthorship W2023401324A5042198445 @default.
• W2023401324 hasConcept C106836276 @default.
• W2023401324 hasConcept C108280814 @default.
• W2023401324 hasConcept C10899652 @default.
• W2023401324 hasConcept C111458787 @default.
• W2023401324 hasConcept C120665830 @default.
• W2023401324 hasConcept C121332964 @default.
• W2023401324 hasConcept C127313418 @default.
• W2023401324 hasConcept C129716092 @default.
• W2023401324 hasConcept C151730666 @default.
• W2023401324 hasConcept C159985019 @default.
• W2023401324 hasConcept C190799397 @default.
• W2023401324 hasConcept C192562407 @default.
• W2023401324 hasConcept C2524010 @default.
• W2023401324 hasConcept C2781052500 @default.
• W2023401324 hasConcept C33923547 @default.
• W2023401324 hasConcept C3768446 @default.

• next