TY - JOUR
T1 - A hierarchical mesh refinement technique for global 3-D spherical mantle convection modelling
AU - Davies, D. R.
AU - Davies, J. H.
AU - Bollada, P. C.
AU - Hassan, O.
AU - Morgan, K.
AU - Nithiarasu, P.
PY - 2013
Y1 - 2013
N2 - A method for incorporating multi-resolution capabilities within pre-existing global 3-D spherical mantle convection codes is presented. The method, which we term "geometric multigrid refinement", is based upon the application of a multigrid solver on non-uniform, structured grids and allows for the incorporation of local high-resolution grids within global models. Validation tests demonstrate that the method is accurate and robust, with highly efficient solutions to large-scale non-uniform problems obtained. Significantly, the scheme is conceptually simple and straightforward to implement, negating the need to reformulate and restructure large sections of code. Consequently, although more advanced techniques are under development at the frontiers of mesh refinement and solver technology research, the technique presented is capable of extending the lifetime and applicability of pre-existing global mantle convection codes.
AB - A method for incorporating multi-resolution capabilities within pre-existing global 3-D spherical mantle convection codes is presented. The method, which we term "geometric multigrid refinement", is based upon the application of a multigrid solver on non-uniform, structured grids and allows for the incorporation of local high-resolution grids within global models. Validation tests demonstrate that the method is accurate and robust, with highly efficient solutions to large-scale non-uniform problems obtained. Significantly, the scheme is conceptually simple and straightforward to implement, negating the need to reformulate and restructure large sections of code. Consequently, although more advanced techniques are under development at the frontiers of mesh refinement and solver technology research, the technique presented is capable of extending the lifetime and applicability of pre-existing global mantle convection codes.
UR - http://www.scopus.com/inward/record.url?scp=84882300425&partnerID=8YFLogxK
U2 - 10.5194/gmd-6-1095-2013
DO - 10.5194/gmd-6-1095-2013
M3 - Article
SN - 1991-959X
VL - 6
SP - 1095
EP - 1107
JO - Geoscientific Model Development
JF - Geoscientific Model Development
IS - 4
ER -