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Efficient viscosity contrast calculation for blood flow simulations using the lattice Boltzmann method

DOI zum Zitieren der Version auf EPub Bayreuth: https://doi.org/10.15495/EPub_UBT_00005039
URN to cite this document: urn:nbn:de:bvb:703-epub-5039-8

Title data

Lehmann, Moritz ; Müller, Sebastian Johannes ; Gekle, Stephan:
Efficient viscosity contrast calculation for blood flow simulations using the lattice Boltzmann method.
In: International Journal for Numerical Methods in Fluids. (2020) .
ISSN 1097-0363
DOI der Verlagsversion: https://doi.org/10.1002/fld.4835

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Project information

Project title:
Project's official titleProject's id
MikroplastikSFB 1357
BiofabricationTRR 225
Instabilities, Bifurcations and Migration in Pulsatile Flows, Project number 417989940FOR 2688

Project financing: Deutsche Forschungsgemeinschaft

Abstract

The lattice Boltzmann method (LBM) combined with the immersed boundarymethod is a common tool to simulate the movement of red blood cel ls (RBCs)through blood vessels. With very few exceptions, such simulations neglect thedifference in viscosities between the hemoglobin solution inside the cells andthe blood plasma outside, although it is well known that this viscosity contrastcan severely affect cell deformation. While it is easy to change the local vis-cosity in LBM, the challenge is to distinguish whether a given lattice point isinside or outside the RBC at each time step. Here, we present a fast algorithmto solve this issue by tracking the membrane motion and computing the scalarproduct between the local surface normal and the distance vector between theclosest LBM lattice point and the surface. This approach is much faster than,for example, the ray-casting method. With the domain tracking applied, weinvestigate the shape transition of a RBC in a microchannel for different vis-cosity contrast and validate our method by comparing with boundary-integralsimulations.

Further data

Item Type: Article in a journal
Keywords: lattice Boltzmann Method; immersed boundary; viscosity contrast; red blood cell; microchannel
DDC Subjects: 500 Science > 530 Physics
500 Science > 540 Chemistry
500 Science > 570 Life sciences, biology
Institutions of the University: Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Physics > Professor Theoretical Physics VI - Simulation and Modelling of Biofluids > Professor Theoretical Physics VI - Simulation and Modelling of Biofluids - Univ.-Prof. Dr. Stephan Gekle
Research Institutions > Affiliated Institutes > Bavarian Polymer Institute (BPI)
Research Institutions > Collaborative Research Centers, Research Unit > SFB 1357 - MIKROPLASTIK
Faculties
Faculties > Faculty of Mathematics, Physics und Computer Science
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Physics
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Physics > Professor Theoretical Physics VI - Simulation and Modelling of Biofluids
Research Institutions
Research Institutions > Affiliated Institutes
Research Institutions > Collaborative Research Centers, Research Unit
Language: English
Originates at UBT: Yes
URN: urn:nbn:de:bvb:703-epub-5039-8
Date Deposited: 18 Sep 2020 07:58
Last Modified: 18 Sep 2020 07:58
URI: https://epub.uni-bayreuth.de/id/eprint/5039

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