H2
Note
GeoServer does not come built-in with support for H2; it must be installed through an extension. Proceed to Installing the H2 extension for installation details.
Installing the H2 extension
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Visit the website download page, locate your release, and download: geoserver-2.24.2-h2-plugin.zip (nightly geoserver-2.24-SNAPSHOT-h2-plugin.zip) Warning Ensure to match plugin (example 2.24.2 above) version to the version of the GeoServer instance. 
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Extract the contents of the archive into the WEB-INF/libdirectory of the GeoServer installation.
Adding an H2 data store
Once the extension is properly installed H2 will be an option in the Vector Data Sources list when creating a new data store.
 H2 in the list of vector data stores
H2 in the list of vector data stores
Configuring an H2 data store
 Configuring an H2 data store
Configuring an H2 data store
Configuring an H2 data store with JNDI
See JNDI.