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The idea of the convector radiator is of a wall mounted module that will act as a radiator in cold conditions and a cooler when the outside air is hot. It will be driven from a heat pump providing a flow of water at a constant temperature of 20degC. A fan at the top of the module passes air from the ceiling of the room past a finned surface kept at the water temerarure. The fan is low velocity and provides a pressure change of just 8Pa for moving the air, this is low enough that the fan will be silent.

Firstly I modelled a room in CAD and produced a polyhexagonal mesh shown here. The fan is in the top right corner, mesh shown here, and its interior here.

Next I modelled the convection currents within the closed room, caused by the density of the air changing with temperature and causing convection currents together with the currents caused by the internal fan. The temperature shown are for the room air starting at a uniform 40degC with the water temperature of 20DegC. Results are shown here. The swirl currents from the fan can be seen in the top right, and the cooler air at about 30degC is already flowing out of the module into the room. After the room has cooled to a steady state the pathlines look like :-

and it can be seen that most of the room has cooled to about 24degC.