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In this work, we present a fully coupled fluid‐electro‐mechanical model of a 50th percentile human heart. The model is implemented on Alya, the BSC multi‐physics parallel code, capable of running efficiently in supercomputers. Blood in the cardiac cavities is modeled by the incompressible Navier‐Stokes equations and an arbitrary Lagrangian‐Eulerian (ALE) scheme. Electrophysiology is modeled with a monodomain scheme and the O'Hara‐Rudy cell model. Solid mechanics is modeled with a total Lagrangian formulation for discrete strains using the Holzapfel‐Ogden cardiac tissue material model. The three problems are simultaneously and bidirectionally coupled through an electromechanical feedback and a fluid‐structure interaction scheme. In this paper, we present the scheme in detail and propose it as a computational cardiac workbench. In this work, a fully coupled fluid‐electro‐mechanical model of the human heart is used to simulate a ventricular ejection. Thanks to physiologically inspired boundary conditions, mechanical deformations and flow patterns are qualitatively comparable with observations. [ABSTRACT FROM AUTHOR]