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Solid Earth An interactive open-access journal of the European Geosciences Union

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doi:10.5194/se-2016-12
© Author(s) 2016. This work is distributed
under the Creative Commons Attribution 3.0 License.
Research article
15 Feb 2016
Review status
This discussion paper has been under review for the journal Solid Earth (SE). The revised manuscript was not accepted.
Numerical simulation of mantle convection using a temperature dependent nonlinear viscoelastic model
M. Norouzi1, M. Sheibi2, and M. Mahmoodi1 1Mechanical Engineering Department, Shahrood University of Technology, Shahrood, Iran
2Earth Science Faculty, Shahrood University of Technology, Shahrood, Iran
Abstract. In the present article, the mantle convection is simulated numerically using a temperature dependent non-linear viscoelastic model for the first time. The numerical domain of problem is con sidered as a 4000 km*2000 km rectangular box and the CFD simulation is performed using finite volume method. Unlike the previous works which had been investigated the mantle convection using the linear viscoelastic models or simple nonlinear inelastic viscous equations (such as power law or cross equations), it is solved via the nonlinear Giesekus constitutive equation. Because of large-scale creeping flow in geometry and time, it is shown that the results of Giesekus equation are more reliable for this problem. The main innovative aspects of current study is investigation of temperature dependency of rheological properties of mantle including viscosity, normal stress differences and relaxation time using appropriate equations of state. The variation of gravitational acceleration with depth of Earth and the effect of the work of stress field (viscous dissipation) on mantle convection are also simulated for the first time.

Citation: Norouzi, M., Sheibi, M., and Mahmoodi, M.: Numerical simulation of mantle convection using a temperature dependent nonlinear viscoelastic model, Solid Earth Discuss., doi:10.5194/se-2016-12, 2016.
M. Norouzi et al.
M. Norouzi et al.

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In the present paper, the mantle convection is simulated numerically using a temperature dependent non-linear viscoelastic model for the first time. Unlike the previous works which had been investigated the mantle convection using the linear viscoelastic models or simple nonlinear inelastic viscous equations (such as power law or cross equations), it is solved via the nonlinear Giesekus constitutive equation. Present study indicates decreasing of effective viscosity flow for larger elastic numbe
In the present paper, the mantle convection is simulated numerically using a temperature...
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