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A verified and validated moving domain computational fluid dynamics solver with applications to cardiovascular flows
Henrik A Kjeldsberg1, Joakim Sundnes1, Kristian Valen-Sendstad1
1Department of Computational Physiology, Simula Research Laboratory, Oslo, Norway.
Summary
We developed OasisMove, an open-source computational fluid dynamics (CFD) solver for moving domains, crucial for cardiovascular flow research. This verified and validated tool accurately simulates complex blood flow patterns, advancing clinical applications.
Area of Science:
- Biomedical Engineering
- Computational Science
- Fluid Dynamics
Background:
- Computational fluid dynamics (CFD) aids in understanding cardiovascular diseases by analyzing blood flow.
- Existing CFD solvers often use rigid domains and complex libraries, limiting their clinical application.
- There is a need for verified and validated CFD tools capable of handling moving domains.
Purpose of the Study:
- To develop, verify, and validate an open-source CFD solver for cardiovascular flows in moving domains.
- To extend the capabilities of the existing Oasis CFD solver for dynamic simulations.
- To provide a reliable tool for analyzing patient-specific cardiovascular conditions.
Main Methods:
- Extended the Oasis CFD solver using the finite element method and FEniCS framework.
- Implemented the arbitrary Lagrangian-Eulerian formulation to handle moving domains.
- Verified the solver using manufactured solutions and validated against benchmark simulations and experiments.
Main Results:
- OasisMove demonstrated theoretical convergence rates for accuracy.
- Achieved second-order temporal and second-/third-order spatial accuracy.
- Validation showed <1% error in lift/drag coefficients and accurate vortex pattern capture.
Conclusions:
- OasisMove is an open-source, accurate, and reliable CFD solver for cardiovascular flows.
- The solver is suitable for analyzing complex hemodynamics in moving domains.
- This tool has the potential for prospective clinical applications in cardiovascular research.
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