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Main Title: A community benchmark for viscoplastic thermal convection in a 2-D square box
Author(s): Tosi, Nicola
Stein, C.
Noack, L.
Hüttig, C.
Maierová, P.
Samuel, H.
Davies, D. R.
Wilson, C. R.
Kramer, S. C.
Thieulot, C.
Glerum, A.
Fraters, M.
Spakman, W.
Rozel, A.
Tackley, P. J.
Type: Article
Language Code: en
Abstract: Numerical simulations of thermal convection in the Earth's mantle often employ a pseudoplastic rheology in order to mimic the plate-like behavior of the lithosphere. Yet the benchmark tests available in the literature are largely based on simple linear rheologies in which the viscosity is either assumed to be constant or weakly dependent on temperature. Here we present a suite of simple tests based on nonlinear rheologies featuring temperature, pressure, and strain rate-dependent viscosity. Eleven different codes based on the finite volume, finite element, or spectral methods have been used to run five benchmark cases leading to stagnant lid, mobile lid, and periodic convection in a 2-D square box. For two of these cases, we also show resolution tests from all contributing codes. In addition, we present a bifurcation analysis, describing the transition from a mobile lid regime to a periodic regime, and from a periodic regime to a stagnant lid regime, as a function of the yield stress. At a resolution of around 100 cells or elements in both vertical and horizontal directions, all codes reproduce the required diagnostic quantities with a discrepancy of at most approximate to 3% in the presence of both linear and nonlinear rheologies. Furthermore, they consistently predict the critical value of the yield stress at which the transition between different regimes occurs. As the most recent mantle convection codes can handle a number of different geometries within a single solution framework, this benchmark will also prove useful when validating viscoplastic thermal convection simulations in such geometries.
Issue Date: 2015
Date Available: 14-Jul-2017
DDC Class: 550 Geowissenschaften
Subject(s): numerical solutions
benchmark tests
mantle convection
Rayleigh-Benard convection
Bingham fluid
Sponsor/Funder: DFG, HA 1765/24-1
DFG, SA 2042
EC/FP7/320639/EU/Integrated geodynamics: Reconciling geophysics and geochemistry/iGEO
Journal Title: Geochemistry, geophysics, geosystems
Publisher: Wiley
Publisher Place: Hoboken, NJ [u.a.]
Volume: 16
Issue: 7
Publisher DOI: 10.1002/2015GC005807
Page Start: 2175
Page End: 2196
EISSN: 1525-2027
Appears in Collections:Zentrum für Astronomie und Astrophysik » Publications

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