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We uncover the H2 flows in the Corona Australis molecular cloud and inparticular identify the flows from the Coronet cluster. Near-infrared H2 v=1--0S(1), 2.12micron-line, narrow-band imaging survey of the R CrA cloud core wascarried out. We identify the best candidate-driving source for each outflow bycomparing the flow properties, available proper motions, and theknown/estimated properties of the driving sources. We also adopted thethumbrule of outflow power as proportional to source luminosity and inverselyproportional to the source age to reach a consensus.  Results: Continuum-subtracted, narrow-band images reveal several newMolecular Hydrogen emission-line Objects (MHOs). Together with previously knownMHOs and Herbig-Haro objects we catalog at least 14 individual flow componentsof which 11 appear to be driven by the RCrA aggregate members. The flowsoriginating in the Coronet cluster have lengths of ~0.1-0.2 pc. Eight out ofnine submillimeter cores mapped in the Coronet cluster region display embeddedstars driving an outflow component. Roughly 80% of the youngest objects in theCoronet are associated with outflows. The MHO flows to the west of the Coronetdisplay lobes moving to the west and vice-versa, resulting in nondetections ofthe counter lobe in our deep imaging. We speculate that these counterflows maybe experiencing a stunting effect in penetrating the dense central core.  Conclusions:Although this work has reduced the ambiguities for many flows inthe Coronet region, one of the brightest H2 feature (MHO2014) and a few fainterfeatures in the region remain unassociated with a clear driving source. Theflows from Coronet, therefore, continue to be interesting targets for futurestudies.

H2 flows in the Corona Australis cloud and their driving sources