期刊
出版社
WILEY
DOI: 10.1002/cnm.3378
关键词
backflow stabilization; cardiovascular simulation; consistent flux boundary condition; discontinuity-capturing operator; Neumann inflow boundary condition; scalar advection diffusion
类别
资金
- American Heart Association [18PRE33960252, 20POST35220004]
- Army Research Office [W911NF-19-C0094]
- Edward B. Diethrich M.D. Professorship
- National Science Foundation [1531752, 1350454]
- Graduate Research Fellowships Program (GRFP)
- Wellcome Trust [204823/Z/16/Z]
- Centre for Medical Engineering (CME) at King's College London [WT 203148/Z/16/Z]
- Wellcome Trust [204823/Z/16/Z] Funding Source: Wellcome Trust
- Direct For Computer & Info Scie & Enginr
- Office of Advanced Cyberinfrastructure (OAC) [1350454] Funding Source: National Science Foundation
Numerical simulations of cardiovascular mass transport pose significant challenges due to the wide range of Peclet numbers and backflow at Neumann boundaries. In this paper we present and discuss several numerical tools to address these challenges in the context of a stabilized finite element computational framework. To overcome numerical instabilities when backflow occurs at Neumann boundaries, we propose an approach based on the prescription of the total flux. In addition, we introduce a consistent flux outflow boundary condition and demonstrate its superior performance over the traditional zero diffusive flux boundary condition. Lastly, we discuss discontinuity capturing (DC) stabilization techniques to address the well-known oscillatory behavior of the solution near the concentration front in advection-dominated flows. We present numerical examples in both idealized and patient-specific geometries to demonstrate the efficacy of the proposed procedures. The three contributions discussed in this paper successfully address commonly found challenges when simulating mass transport processes in cardiovascular flows.
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