Reversed flow converter (RFC) employs periodical reversals of exhaust gas flow through a catalyst monolith for efficient use of its heat retention properties. This paper presents the results of computer simulation of three potential applications of the RFC: destruction of hydrocarbons and CO after diesel dual fuel engines, lean-NOx reduction, and cold-start emission control. An one-dimensional two-phase reactor model was used to simulate both typical converter operation transients and standard diesel engine tests. Both catalyst support structure and catalyst activity were demonstrated to affect the converter performance. Converter configurations were suggested that comprise catalyst, inert material and/or adsorbent. Simulation results are compared with engine tests of a converter treating a diesel dual fuel engine emissions.