A dynamic method for purifying dicyclopentadiene from a mixed liquid hydrocarbon stream, comprising: delivering at least a portion of the mixed liquid hydrocarbon stream to an inlet port of a separation/purification unit, wherein the mixed liquid hydrocarbon stream comprises dicyclopentadiene and one or more of a C 5 paraffin, a C 5 olefin, co-dimers, cyclopentadiene, benzene, vinyl norbornene, bicyclononadiene, propenyl norbornene, isopropenyl norbornene, methylbicyclononadiene, and methyldicyclopentadiene; dividing the mixed liquid hydrocarbon stream to form a plurality of mixed liquid hydrocarbon streams and flowing the plurality of mixed liquid hydrocarbon streams through a low temperature region of the separation/purification unit; continuously contacting the plurality of mixed liquid hydrocarbon streams with an inner wall of the separation/purification unit to form an impure crystalline slurry comprising an impure crystalline phase, and an excess liquid phase, wherein dicyclopentadiene crystals are present in the impure crystalline phase; depositing the impure crystalline phase on the inner wall of the separation/purification unit; recycling at least a portion of the excess liquid phase to the inlet port of the separation/purification unit; sweating the impure crystalline phase at least once to a sweating temperature to at least partially melt the impure crystalline phase to form a purified crystalline phase comprising the dicyclopentadiene crystals and a molten impurity phase and separating the molten impurity phase from the purified crystalline phase; melting the dicyclopentadiene crystals on the inner wall of the separation/purification unit to form molten dicyclopentadiene and collecting the molten dicyclopentadiene. delivering at least a portion of the mixed liquid hydrocarbon stream to an inlet port of a separation/purification unit, wherein the mixed liquid hydrocarbon stream comprises dicyclopentadiene and one or more of a C 5 paraffin, a C 5 olefin, co-dimers, cyclopentadiene, benzene, vinyl norbornene, bicyclononadiene, propenyl norbornene, isopropenyl norbornene, methylbicyclononadiene, and methyldicyclopentadiene; dividing the mixed liquid hydrocarbon stream to form a plurality of mixed liquid hydrocarbon streams and flowing the plurality of mixed liquid hydrocarbon streams through a low temperature region of the separation/purification unit; continuously contacting the plurality of mixed liquid hydrocarbon streams with an inner wall of the separation/purification unit to form an impure crystalline slurry comprising an impure crystalline phase, and an excess liquid phase, wherein dicyclopentadiene crystals are present in the impure crystalline phase; depositing the impure crystalline phase on the inner wall of the separation/purification unit; recycling at least a portion of the excess liquid phase to the inlet port of the separation/purification unit; sweating the impure crystalline phase at least once to a sweating temperature to at least partially melt the impure crystalline phase to form a purified crystalline phase comprising the dicyclopentadiene crystals and a molten impurity phase and separating the molten impurity phase from the purified crystalline phase; melting the dicyclopentadiene crystals on the inner wall of the separation/purification unit to form molten dicyclopentadiene and collecting the molten dicyclopentadiene.