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Dynamic adaptive moving mesh finite‐volume method for the blood flow and coagulation modelingстатья
- Авторы: Terekhov Kirill M., Butakov Ivan D., Danilov Alexander A., Vassilevski Yuri V.
- Журнал: International Journal for Numerical Methods in Biomedical Engineering
- Том: 39
- Номер: 11
- Год издания: 2023
- Издательство: John Wiley & Sons Ltd.
- Местоположение издательства: United Kingdom
- DOI: 10.1002/cnm.3731
- Аннотация: In this work, we develop numerical methods for the solution of blood flow and coagulation on dynamic adaptive moving meshes. We consider the blood flow as a flow of incompressible Newtonian fluid governed by the Navier–Stokes equations. The blood coagulation is introduced through the additional Darcy term, with a permeability coefficient dependent on reactions. To this end, we introduce moving mesh collocated finite-volume methods for the Navier–Stokes equations, advection–diffusion equations, and a method for the stiff cascade of reactions. A monolithic nonlinear system is solved to advance the solution in time. The finite volume method for the Navier–Stokes equations features collocated arrangement of pressure and velocity unknowns and a coupled momentum and mass flux. The method is conservative and inf-sup stable despite the saddle point nature of the system. It is verified on a series of analytical problems and applied to the blood flow problem in the deforming domain of the right ventricle, reconstructed from a time series of computed tomography scans. At last, we demonstrate the ability to model the coagulation process in deforming microfluidic capillaries. KEYWORDS adaptive mesh, coagulation, collocated, finite volume, inf-sup stability, moving mesh
- Добавил в систему: Ильин Александр Владимирович