A judgment against one of several joint wrongdoers shall not bar the prosecution of an action against any or all the others, but the injured party may bring separate actions against the wrongdoers and proceed to judgment in each, or, if sued jointly, he may proceed to judgment against them successively until judgment has been rendered against, or the cause has been otherwise disposed of as to, all of the defendants, and no bar shall arise as to any of them by reason of a judgment against another, or others, until the judgment has been satisfied. If there be a judgment against one or more joint wrongdoers, the full satisfaction of such judgment accepted as such by the plaintiff shall be a discharge of all joint wrongdoers, except as to the costs; provided, however, this section shall have no effect on the right of contribution between joint wrongdoers as set out in § 8.01-34.