19 citations · 37 across the 6 of their papers we have counts for
6 papers
Thermal modeling of subduction zones with prescribed and evolving 2D and 3D slab geometries
Nathan Sime, Cian R. Wilson, Peter E. van Keken
The determination of the temperature in and above the slab in subduction zones, using models where the top of the slab is precisely known, is important to test hypotheses regarding…
A divergence free -RIPG stream function formulation of the incompressible Stokes system with variable viscosity
Nathan Sime, Paul Houston, Cian R. Wilson +1
Pointwise divergence free velocity field approximations of the Stokes system are gaining popularity due to their necessity in precise modelling of physical flow phenomena. Several…
Automatic weak imposition of free slip boundary conditions via Nitsche's method: application to nonlinear problems in geodynamics
Nathan Sime, Cian R. Wilson
Imposition of free slip boundary conditions in science and engineering simulations presents a challenge when the simulation domain is non-trivial. Inspired by recent progress in sy…
LEoPart: a particle library for FEniCS
Jakob M. Maljaars, Chris N. Richardson, Nathan Sime
This paper introduces LEoPart, an add-on for the open source finite element software library FEniCS to seamlessly integrate Lagrangian particle functionality with (Eulerian) mesh-b…
Automatic symbolic computation for discontinuous Galerkin finite element methods
Paul Houston, Nathan Sime
The implementation of discontinuous Galerkin finite element methods (DGFEMs) represents a very challenging computational task, particularly for systems of coupled nonlinear PDEs, i…
Scalable computation of thermomechanical turbomachinery problems
Chris N. Richardson, Nathan Sime, Garth N. Wells
A commonly held view in the turbomachinery community is that finite element methods are not well-suited for very large-scale thermomechanical simulations. We seek to dispel this no…