A thermodynamically consistent phase-field model is introduced for simulating motion and shape transformation of vesicles under flow conditions. In particular, a general slip boundary condition is used to describe the interaction between vesicles and the wall of the fluid domain in the absence of cell-wall adhesion introduced by ligand-receptor binding. A second-order accurate in both space and time C0 finite element method is proposed to solve the model governing equations. Various numerical tests confirm the convergence, energy stability, and conservation of mass and surface area of cells of the proposed scheme. Vesicles with different mechanical properties are also used to explain the pathological risk for patients with sickle cell disease.
|Number of pages||24|
|Journal||SIAM Journal on Scientific Computing|
|Early online date||18 Jan 2022|
|Publication status||Published - 2022|
- energy stable scheme
- local inextensibility
- narrow channel
ASJC Scopus subject areas
- Computational Mathematics
- Applied Mathematics
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Thermodynamically Consistent Phase-Field Models and Their Energy Law Preserving Finite Element Schemes for Two-Phase Flows and Their Interaction with BoundariesAuthor: Shen, L., 2022
Supervisor: Lin, P. (Supervisor) & Kyza, I. (Supervisor)
Student thesis: Doctoral Thesis › Doctor of PhilosophyFile