NOVELTY - A biodiesel fuel is produced by pretreating feedstock; performing a glycerolysis reaction by adding glycerol and a caustic base and heating; performing a transesterification reaction; separating glycerol from alkyl ester reaction product in glycerol separation processing step; recovering alcohol; flashing the stream in an alkyl ester flash process resulting in a pure alkyl ether biodiesel, bottoms and partial glycerides that contain catalyst; and recycling catalyst, bottoms and partial glycerides that contain catalyst back to the transesterification reaction.    USE - Method for producing a biodiesel fuel (claimed) used in diesel engines.    ADVANTAGE - The method has reduced cost and reaction losses, eliminates the wastewater discharge streams, has a faster transesterification reaction which does not require use of aggressive or intense mixing to incorporate the different phases, and has a pure biodiesel product with no contamination or zero contamination present.    DETAILED DESCRIPTION - Producing a biodiesel fuel comprises:    (A) providing a feedstock;    (B) pretreating the feedstock;    (C) performing a glycerolysis reaction by adding glycerol and a caustic base to the pretreated feedstock and heating the resulting mixture, resulting in a mixture of mono-, di- and tri-glycerides and soap;    (D) performing a transesterification reaction by combining the mixture of mono-, di-, and tri-glycerides and soap with a slight excess of alcohol and catalyst, resulting in an alkyl ester reaction product;    (E) separating glycerol from the alkyl ester reaction product in a glycerol separation processing step, leaving behind 0.1-1 wt.% free glycerol in the alkyl ester reaction product from the transesterification reaction;    (F) recovering alcohol in an alcohol recovery flash resulting in a stream of alkyl ester free from glycerol;    (G) flashing the stream in an alkyl ester flash process resulting in a pure alkyl ether biodiesel, bottoms and partial glycerides that contain catalyst; and    (H) recycling catalyst, bottoms and partial glycerides that contain catalyst back to the transesterification reaction.