Physics

Finite element method

Work (physics)

Fluid–structure interaction

Workbench

Human heart

Mathematics

Lagrangian

Mechanics

Engineering

Cardiology

Mathematical analysis

Artificial intelligence

Visualization

Computer science

Eulerian path

Scheme (mathematics)

Compressibility

Applied mathematics

Computational science

Medicine

Mechanical engineering

Thermodynamics

International Journal for Numerical Methods in Biomedical Engineering

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.

Fully coupled fluid‐electro‐mechanical model of the human heart for supercomputers