  After an overview of general aspects of modelling the pulsation- convection
interaction we present reasons why such simulations (in multidimensions) are
needed but, at the same time, pose a considerable challenge. We then discuss,
for several topics, what insights multidimensional simulations have either
already provided or can be expected to yield in the future. We finally discuss
properties of our ANTARES code. Many of these features can be expected to be
characteristic of other codes which may possibly be applied to these physical
questions in the foreseeable future.
