The data produced by the SPECS partners is formatted in a unified way (see here for the details of the conventions) and is being made available on the Earth System Grid Federation portal. Around 80TB of monthly and daily data is planned to be published through this interface.
Once registered you can browse and download all the SPECS data. To do this, you can connect here and select the Search tab and “specs” under the “Project menu”. From there you can browse the dataset by variable, model, institute or leadtime for example. There is also a free text search bar for more advanced searches.
If you are interested in data which is not yet available in ESGF you can request information about how to access the repository sending an email to Pierre-Antoine Bretonnière.