What was found
R ENGINE FLAMEOUT AMBER CAS: CLIMBING THRU 15000 FT, AMBER FADEC FAIL ILLUMINATED. AIRCRACT YAWED,, BUT NO REPEATED YAWING. RIGHT ENGINE ROLLED BACK TO APPROXIMATELY 30% AND STAYED THERE, WOULD NOT RESPOND. WE DECLARED AN EMERGENCY, AND PROCEEDED WITH RT ENGINE SHUTDOWN CHECKLIST. RETURNED TO KIAD. REPLACED W-5 HARNESS ON #2 ENGINE. SWAPPED CVG ACTUATORS BETWEEN #1 AND #2 ENGINES FOR TROUBLESHOOTING. REPOSITIONED ECU A'S BETWEEN #1 AND #2 ENGINES. INITIALIZED ECU'S RAN EACH ENGINE AT POWER FOR 3 MINUTES. OPS CHECK GOOD AT THIS TIME. NOTE: ADD ONE ENGINE CYCLE TO BOTH ENQINES.