Dumler is charged with one count of forcible sodomy, which is a felony offense.
Wednesday's arrest comes after an investigation into an alleged incident that occurred on October 4. Police say the victim was known to Dumler.
Dumler is being held without bond at the Albemarle-Charlottesville Regional Jail. His bond hearing is scheduled for 9:00 a.m. Thursday.
Police say the investigation is ongoing.