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This chapter presents quantitative phase-field simulations of dendritic growth in the diffuse regime and under the influence of melt convection. For this purpose, a general formulation for an interface mobility correction and an antitrapping diffusion flux is proposed and implemented into a general multicomponent multiphase-field model. Simulation results for equiaxed dendritic growth in Ni₉₈Al₁Zr₁ up to a melt undercooling of 80 K are discussed. The impact of buoyancy-driven melt convection on the dendrite spacing in directional solidification is investigated for a binary alloy. For a ternary alloy, a transition of the orientation of the interdendritic convection rolls with changing alloy composition is demonstrated qualitatively.