Articles | Volume 13, issue 6
Method article
29 Jun 2022
Method article |  | 29 Jun 2022

An efficient partial-differential-equation-based method to compute pressure boundary conditions in regional geodynamic models

Anthony Jourdon and Dave A. May

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Cited articles

Alnaes, M. S., Blechta, J., Hake, J., Johansson, A., Kehlet, B., Logg, A., Richardson, C., Ring, J., Rognes, M. E., and Wells, G. N.: The FEniCS Project Version 1.5, Archive of Numerical Software, 3, 9–23,, 2015. a
Baes, M., Sobolev, S. V., and Quinteros, J.: Subduction initiation in mid-ocean induced by mantle suction flow, Geophys. J. Int., 215, 1515–1522,, 2018. a
Balay, S., Gropp, W. D., McInnes, L. C., and Smith, B. F.: Efficient Management of Parallelism in Object Oriented Numerical Software Libraries, in: Modern Software Tools in Scientific Computing, edited by: Arge, E., Bruaset, A. M., and Langtangen, H. P., 163–202, Birkhäuser Press,, 1997. a
Barth, W. L. and Carey, G. F.: On a boundary condition for pressure-driven laminar flow of incompressible fluids, Int. J. Numer. Meth. Fl., 54, 1313–1325, 2007. a
Short summary
In this study we present a method to compute a reference pressure based on density structure in which we cast the problem in terms of a partial differential equation (PDE). We show in the context of 3D models of continental rifting that using the pressure as a boundary condition within the flow problem results in non-cylindrical velocity fields, producing strain localization in the lithosphere along large-scale strike-slip shear zones and allowing the formation and evolution of triple junctions.