In the present work, numerical simulation has been applied to analyze diamond crystal growth. The computer model is based on an axisymmetric approach accounting for heat transfer, carbon mass transport, and convection in a carbon solvent. A special emphasis is given to the study of the effect of alternating current heating on metal solution convection and carbon transport due to the generation of the Lorenz force in the solution. The computational data are compared with available experimental data. Ideas on optimization of diamond crystal growth for larger sizes and better quality are discussed. (c) 2008 Elsevier B.V. All rights reserved.