Role of temperature‐dependent viscosity and surface plates in spherical shell models of mantle convection

By Shijie Zhong, Maria T. Zuber, Louis Moresi, Michael Gurnis. 2000

635 citations recorded by the source corpus.

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In Geophysics

Citations in the corpus

Modelling post-glacial rebound with lateral viscosity variations (2005, methodology): “It was derived from a code developed for viscous mantle convection (Zhong et al. 2000) by discretizing the time-dependent rheology, allowing viscous and elastic displacement and strain to be treated incrementally, and accommodating self-gravitation.”
Seismic tomography, surface uplift, and the breakup of Gondwanaland: Integrating mantle convection backwards in time (2003, methodology): “[13] We used a variation of the spherical finite element code CitComS [Zhong et al., 2000] to solve the coupled momentum and energy equations as a function of time on a three-dimensional sector of a sphere.”
Supercontinent cycles, true polar wander, and very long-wavelength mantle convection (2007, methodology): “The models are computed on a numerical grid with either 1.4 million or 3.3 million nodes, depending on Ra .T he calculationsaredoneona48-processorPC-Clusterusinga 3-D spherical convection code CitcomS ( Zhong et al., 2000 ) which is modified from the Cartesian Citcom (Moresi and Gurnis, 1996).”
The effect of rheological parameters on plate behaviour in a self-consistent model of mantle convection (2004, background): “…plate motion was not prescribed, but obtained dynamically by the distribution of buoyancy in the mantle (Schmeling and Jacoby, 1981; Gurnis, 1988; Davies, 1989; Ricard and Vigny, 1989; King and Hager, 1990; Gable et al., 1991; Zhong and Gurnis, 1996; Zhong et al., 2000; Monnereau and Quéré, 2001).”
Three‐dimensional instantaneous mantle flow induced by subduction (2006, background): “Lett., 33, L08304, doi:10.1029/2005GL025390.”
Three-dimensional finite-element modelling of Earth's viscoelastic deformation: effects of lateral variations in lithospheric thickness (2003, background): “…km for the eastern US and Canadian shields) than young tectonically active areas (e.g. ∼10 km for the western (a) Along N60o latitude (b) Along N65o latitude (c) Along N75o latitude US), as constrained by studies of long-term loads (e.g. Bechtel et al. 1990; Zuber et al. 1989; Simons et al. 2000).”
Computational approaches to studying non-linear dynamics of the crust and mantle (2007, methodology): “Multigrid finite element methods based on structured, nested grid configurations are very efficient approaches to the solution of (1a) and, combined with a suitable scheme for the advection–diffusion equation for energy transport (1c), have formed the basis for a number of reliable mantle dynamics c”
A benchmark study on mantle convection in a 3‐D spherical shell using CitcomS (2008, methodology): “For the Uzawa algorithm, the outer loop iteration for the pressure uses a preconditioned conjugate gradient method, while the inner loop for the velocity uses multigrid [Moresi and Solomatov, 1995] and full multigrid [Zhong et al., 2000] methods.”
Mantle dynamics and seismic anisotropy (2010, background): “Lateral viscosity variations are expected to be of importance particularly for the upper mantle, and those require either iterative, spectral solutions (e.g., Zhang and Christensen, 1993) or fully numerical approaches (e.g., Zhong et al., 2000, 2007).”
Degree-1 convection in the Martian mantle and the origin of the hemispheric dichotomy (2006, methodology): “We then used CitcomS [Zhong et al., 2000] to perform each calculation in a 3-D spherical geometry using the final horizontally-averaged temperature profile from the corresponding 2-D case as the initial temperature condiTable 2.”
Radial seismic anisotropy as a constraint for upper mantle rheology (2007, methodology): “Mantle circulation is inferred from the instantaneous velocities of an incompressible, infinite Prandtl number fluid (Hager and O'Connell, 1981), and we solve the equations using the finite element code CitcomS by Moresi and Solomatov (1995) and Zhong et al. (2000).”
Long-Term Stability of a Subsurface Ocean on Enceladus (2007, methodology): “Details about the 3D grid setup can be found in Zhong et al. (2000).”
Fluidity: A fully unstructured anisotropic adaptive mesh computational modeling framework for geodynamics (2011, methodology): “For example, excluding a few notable exceptions [e.g., Stadler et al., 2010; Alisic et al., 2011], global mantle convection models do not fully utilize constraints on mantle and plate boundary rheology, as numerical simulation at the required resolution is not possible with most current methods [e.g”
Statistical properties of seismic anisotropy predicted by upper mantle geodynamic models (2006, positive): “[e.g., Christensen, 1984; Zhong et al., 2000]:”
On the effect of temperature and strain-rate dependent viscosity on global mantle flow, net rotation, and plate-driving forces (2006, neutral): “For the free-slip models, I impose weak zones along the plate boundaries to facilitate plate-like motion at the surface (e.g. Zhong et al. 2000).”