Docker is not in the "supported deployment" business any more. We sold Docker Enterprise to Mirantis, to focus on developer tooling. The aim of open sourcing Compose spec is to help make it easier for people to make better deployment tooling, and to clean up the parts of the spec that were specific to the methods we had before to make it more general.
There are quite a few ways now, and we will be helping make them better. These include Kompose (the maintainer, Hang Yan, is involved with Compose spec now) which converts to Kube Yaml, some work on Compose-Helm integrations that is ongoing, Amazon ECS has Compose support, compose-on-kubernetes (we think this needs rewriting to use a CRD again, after having changed it to use API extensions), and some other projects which are being worked on that I have heard about.