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A method of simulating the behavior of continuously slugging vertical columns is presented. Slugs are introduced at regular time intervals at some reference level near the bottom of a column and their subsequent motion and coalescence is simulated numerically. Experiments on coalescing slug pairs are used to supply information on slug interactions, while the relationship between slug length and volume is obtained from experiments on single slugs. The numerical predictions are in reasonable agreement with experimental results for continuously slugging liquids.