Get access

A black-box decomposition approach for coupling heterogeneous components in hemodynamics simulations

Authors

  • Pablo J. Blanco,

    Corresponding author
    1. Instituto Nacional de Ciência e Tecnologia em Medicina Assistida por Computação Científica, Petrópolis, Brazil
    • Laboratório Nacional de Computação Científica, Petrópolis, Brazil
    Search for more papers by this author
  • Jorge S. Leiva,

    1. Instituto Balseiro, San Carlos de Bariloche, Río Negro, Argentina
    Search for more papers by this author
  • Gustavo C. Buscaglia

    1. Instituto de Ciências Matemáticas e Computação, Universidade de São Paulo, São Carlos, SP, Brazil
    2. Instituto Nacional de Ciência e Tecnologia em Medicina Assistida por Computação Científica, Petrópolis, Brazil
    Search for more papers by this author

Correspondence to: Pablo J. Blanco, Laboratório Nacional de Computação Científica, Av. Getúlio Vargas 333, Quitandinha, 25651-075, Petrópolis, RJ, Brazil.

E-mail: pjblanco@lncc.br

SUMMARY

This work presents a generic and efficient black-box approach for the strong iterative coupling of dimensionally heterogeneous flow models in computational hemodynamics. A heterogeneous model of the cardiovascular system is formed by several vascular black-box components, which are connected through coupling equations. The associated system of equations is solved using the Broyden algorithm. In addition, a multiple time-stepping strategy is introduced to meet different component requirements. The proposed algorithm is employed to split a 3D–1D–0D closed-loop model of the cardiovascular system into corresponding black-box components standing for the 3D (specific vessels), 1D (systemic arteries/peripheral vessels), and 0D (venous/cardiac/pulmonary circulation) components. Examples of application are presented showing the robustness and suitability of this novel approach. Copyright © 2012 John Wiley & Sons, Ltd.

Ancillary