A black-box decomposition approach for coupling heterogeneous components in hemodynamics simulations.
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.
Laboratório Nacional de Computação Científica, Av. Getúlio Vargas 333, Quitandinha, 25651-075 Petrópolis, Brazil. pjblanco@lncc.br
Pablo J
PJ
Blanco
Jorge S
JS
Leiva
Gustavo C
GC
Buscaglia
D000465:Algorithms; D001011:Aorta / Q000502:physiology; D001132:Arm / Q000098:blood supply; D001794:Blood Pressure / Q000502:physiology; D003198:Computer Simulation; D006321:Heart / Q000502:physiology; D006439:Hemodynamics; D006801:Humans; D002532:Intracranial Aneurysm / Q000473:pathology / Q000503:physiopathology; D008955:Models, Cardiovascular; D012039:Regional Blood Flow