There are several rather arbitrary ways to name an enantiomer. The various rule sets are not related to each other but use similar terminology, so they can be very confusing. In the R/S system, based on the specific atoms in the molecule, one configuration is called "rectus" (R- for short) and the other is called "sinister" (S- for short), from the Latin words for right and left. In the D/L system, which is related to how the molecule compares to the chiral molecule glyceraldehyde, one version is called "dextro-" (D- for short) and its mirror image is called "levo-" (L- for short) (from another pair of Latin words for right and left). In the (+/-) system, also called the d-/l- system (which should not be confused with the D-/L- system), the assignment is based on how the enantiomer bends polarized light.
An enantiopure medication's generic name usually just adds its prefix (R-, S-, dextro-, or levo-) to the generic name of the racemic version. R- and S- are usually converted to the easily pronouncible "ar" and "es." So S-omeprazole, an enantiopure version of omeprazole, is usually spelled esomeprazole.
When deciding on the brand name of an enantiomeric medication, drug companies sometimes try to make the new version sound like a completely novel development. For example, omeprazole, a drug that treats stomach problems, is marketed under the brand name Prilosec, while its S-enantiomer, esomeprazole, is called Nexium. In other cases, the new brand name is chosen to make the drug sound like a newer or better version of a familiar medication. For example, escitalopram is the S-enantiomer of citalopram. Their brand names, Lexapro and Celexa (respectively), are similar. Armodafinil is the R-enantiomer of modafinil; their respective brand names, Nuvigil and Provigil, make the purified version sound like a "new" version of Provigil.