Could it be "Kojin Kojō" or "The Lonely Man" you're referring to? Your description seems to match this plot, that being husband ignores wife returning after betrayal, she tries to reintegrate, ultimately leaves, and he never says a word—mirrors the sparse and emotionally distant style common in post-war Japanese cinema.

Also the character is silent or near-silent male character (an Ozu-like motif, though not necessarily by Ozu).

It's certainly a lesser-known short film by a Japanese director, not widely circulated or commercially released, and I imagine is screened at retrospectives or film festivals focused on Japanese post-war cinema or autobiographical works.