BibTex format
@article{Adam:2016:10.1016/j.jcp.2016.05.058,
author = {Adam, A and Pavlidis, D and Percival, J and Salinas, P and Xie, Z and Fang, F and Pain, C and Muggeridge, A and Jackson, M},
doi = {10.1016/j.jcp.2016.05.058},
journal = {Journal of Computational Physics},
pages = {512--531},
title = {Higher-order conservative interpolation between control-volume meshes: Application to advection and multiphase flow problems with dynamic mesh adaptivity},
url = {http://dx.doi.org/10.1016/j.jcp.2016.05.058},
volume = {321},
year = {2016}
}
RIS format (EndNote, RefMan)
TY - JOUR
AB - A general, higher-order, conservative and bounded interpolation for the dynamic and adaptive meshing of control-volume fields dual to continuous and discontinuous finite element representations is presented. Existing techniques such as node-wise interpolation are not conservative and do not readily generalise to discontinuous fields, whilst conservative methods such as Grandy interpolation are often too diffusive. The new method uses control-volume Galerkin projection to interpolate between control-volume fields. Bounded solutions are ensured by using a post-interpolation diffusive correction. Example applications of the method to interface capturing during advection and also to the modelling of multiphase porous media flow are presented to demonstrate the generality and robustness of the approach.
AU - Adam,A
AU - Pavlidis,D
AU - Percival,J
AU - Salinas,P
AU - Xie,Z
AU - Fang,F
AU - Pain,C
AU - Muggeridge,A
AU - Jackson,M
DO - 10.1016/j.jcp.2016.05.058
EP - 531
PY - 2016///
SN - 1090-2716
SP - 512
TI - Higher-order conservative interpolation between control-volume meshes: Application to advection and multiphase flow problems with dynamic mesh adaptivity
T2 - Journal of Computational Physics
UR - http://dx.doi.org/10.1016/j.jcp.2016.05.058
UR - http://hdl.handle.net/10044/1/33379
VL - 321
ER -