Time-dependent outflow boundary conditions for blood flow in the arterial system

Jaehyuk Kwack, Soonpil Kang, Geetha Bhat, Arif Masud

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

We present time-dependent outflow boundary conditions for blood flow simulations in the arterial system. The new method allows for embedding clinically obtained patient-specific data into the patient-specific geometric models of the circulation system. Blood rheology is accounted for by shear-rate dependent models for blood. Our recently developed stabilized finite element method for non-Newtonian fluid models is extended to include downstream effects by incorporating clinically measured downstream resistance via a novel functional form for the outflow boundary conditions. Patient-specific flow-rate and pressure profiles measured clinically (e.g.,ultrasound device,CT,or MRI) are used to determine timedependent resistance functions. For verification of the new method,we compare the clinically measured time-dependent resistance outflow boundary conditions to the constant pressure,constant resistance,and the impedance outflow boundary conditions. Numerical tests verify that the time-dependent outflow boundary conditions proposed in this work impose the most accurate downstream effects that are caused by the non-Newtonian behavior of blood as well as the geometrical complexity of the branching arteries. Our numerical tests show that the reduced geometry with the proposed outflow boundary conditions results in an order of magnitude reduction in computational cost as compared to that of the full arterial geometry model.

Original languageEnglish (US)
Title of host publicationModeling and Simulation in Science, Engineering and Technology
PublisherSpringer Basel
Pages359-377
Number of pages19
DOIs
StatePublished - Jan 1 2016

Publication series

NameModeling and Simulation in Science, Engineering and Technology
ISSN (Print)2164-3679
ISSN (Electronic)2164-3725

Fingerprint

Blood Flow
Blood
Boundary conditions
Stabilized Finite Element Method
Geometry
Rheology
Geometric Model
Non-Newtonian Fluid
Flow simulation
Flow Simulation
Fluid Model
Arteries
Ultrasound
Magnetic resonance imaging
Flow Rate
Shear deformation
Impedance
Branching
Computational Cost
Ultrasonics

ASJC Scopus subject areas

  • Modeling and Simulation
  • Engineering(all)
  • Fluid Flow and Transfer Processes
  • Computational Mathematics

Cite this

Kwack, J., Kang, S., Bhat, G., & Masud, A. (2016). Time-dependent outflow boundary conditions for blood flow in the arterial system. In Modeling and Simulation in Science, Engineering and Technology (pp. 359-377). (Modeling and Simulation in Science, Engineering and Technology). Springer Basel. https://doi.org/10.1007/978-3-319-40827-9_28

Time-dependent outflow boundary conditions for blood flow in the arterial system. / Kwack, Jaehyuk; Kang, Soonpil; Bhat, Geetha; Masud, Arif.

Modeling and Simulation in Science, Engineering and Technology. Springer Basel, 2016. p. 359-377 (Modeling and Simulation in Science, Engineering and Technology).

Research output: Chapter in Book/Report/Conference proceedingChapter

Kwack, J, Kang, S, Bhat, G & Masud, A 2016, Time-dependent outflow boundary conditions for blood flow in the arterial system. in Modeling and Simulation in Science, Engineering and Technology. Modeling and Simulation in Science, Engineering and Technology, Springer Basel, pp. 359-377. https://doi.org/10.1007/978-3-319-40827-9_28
Kwack J, Kang S, Bhat G, Masud A. Time-dependent outflow boundary conditions for blood flow in the arterial system. In Modeling and Simulation in Science, Engineering and Technology. Springer Basel. 2016. p. 359-377. (Modeling and Simulation in Science, Engineering and Technology). https://doi.org/10.1007/978-3-319-40827-9_28
Kwack, Jaehyuk ; Kang, Soonpil ; Bhat, Geetha ; Masud, Arif. / Time-dependent outflow boundary conditions for blood flow in the arterial system. Modeling and Simulation in Science, Engineering and Technology. Springer Basel, 2016. pp. 359-377 (Modeling and Simulation in Science, Engineering and Technology).
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