The present disclosure relates, according to some embodiments, to systems, apparatus, and methods for fluid purification (e.g., water) with a ceramic membrane. For example, the present disclosure relates, in some embodiments, to a cross-flow fluid filtration assembly comprising (a) membrane housing comprising a plurality of hexagonal prism shaped membranes (b) an inlet configured to receive the contaminated fluid and to channel a contaminated fluid to the first end of the plurality of hexagonal prism shaped membranes, and (c) an outlet configured to receive a permeate released from the second end of the plurality of hexagonal shaped membranes. The present disclosure also relates to a cross-flow fluid filtration module comprising a fluid path defined by a contaminated media inlet chamber, a fluid filtration assembly positioned in a permeate chamber and a concentrate chamber.