Convert raster from ellispoidal height to orthometric altitude

Differences between ellipsoidal height and orthometric altitude (or geoid height) are explained here https://spatialthoughts.com/2019/10/26/convert-between-orthometric-and-ellipsoidal-elevations-using-gdal/

using gdalwarp to convert from UTM33N-WGS84 ellipsoidal height to UTM33N-EGM96 geoid height

gdalwarp -s_srs "+proj=utm +zone=33 +datum=WGS84 +units=m +no_defs" -t_srs "+proj=utm +zone=33 +datum=WGS84 +units=m +no_defs +geoidgrids=egm96_15.gtx" input.tif output.tif

you can choose your input and output spatial reference using the proj4 syntax https://epsg.io/32633 , and note the add of the geoid file with +geoidgrids=egm96_15.gtx in the command.

if you want to use EGM2008 geoid, get the file from https://github.com/OSGeo/proj-datumgrid/blob/master/world/egm08_25.gtx and copy it to the proj directory. In Linux it’s

/usr/share/proj

then you can simply change the geoid file in the command +geoidgrids=egm08_25.gtx