  In this paper, we present a general review of the status of numerical
modelling applied to the design of high temperature superconductor (HTS)
devices. The importance of this tool is emphasized at the beginning of the
paper, followed by formal definitions of the notions of models, numerical
methods and numerical models. The state-of-the-art models are listed, and the
main limitations of existing numerical models are reported. Those limitations
are shown to concern two aspects: one the one hand, the numerical performance
(i.e. speed) of the methods themselves is not good enough yet; on the other
hand, the availability of model file templates, material data and benchmark
problems is clearly insufficient. Paths for improving those elements are
provided in the paper. Besides the technical aspects of the research to be
further pursued, for instance in adaptive numerical methods, most
recommendations command for an increased collective effort for sharing files,
data, codes and their documentation.
