dynamic_processes.ex

defmodule DynamicProcesses do
  use Application

  def start(_type, _args) do
    import Supervisor.Spec, warn: false
    
    children = [
    ]

    opts = [strategy: :one_for_one, name: DynamicProcesses.Supervisor]
    Supervisor.start_link(children, opts)
  end
end

dynamic_processes_examples.ex

defmodule DynamicProcesses.Examples do
  alias DynamicProcesses.SomeSupervisor

  import Supervisor.Spec

  def add_single_supervisor(id \\ "1") do
    {:ok, supervisor_spec} = build_supervisor_spec(SomeSupervisor, [], id)
    Supervisor.start_child(DynamicProcesses.Supervisor, supervisor_spec)
  end

  defp build_supervisor_spec(module, args, id) do
    supervisor_spec = supervisor(module, args, [id: "supervisor" <> id])
    {:ok, supervisor_spec}
  end
end

dynamic_processes_some_supervisor.ex

defmodule DynamicProcesses.SomeSupervisor do
  use Supervisor

  def start_link do
    Supervisor.start_link(__MODULE__, [])
  end

  def init([]) do
    children = []

    supervise(children, strategy: :one_for_all)
  end
end