Browsing by Author "Xu, Z"

Now showing 1 - 4 of 4
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    A phase field model for compressible immiscible fluids with a new equation of state
    (International Journal of Multiphase Flow, 2022-04-01) Dai, H; Xu, S; Xu, Z; Zhao, N; Zhu, CX; Zhu, C
    In this paper, we propose a new compressible phase field model of two different immiscible fluid components, in which the density of each phase is variable. In order to establish the compressible phase field model, a new P-V-T equation of state is introduced to solve the pressure. The new model is derived by the physics law of conservation, and conforms to the second law of thermodynamics. The model adopts an innovative expression of Helmholtz free energy, taking into account the new state equation of pressure and the varying material properties of each phase. A high-order accurate numerical scheme is introduced to solve the model equations. The convection terms of the governing equations are discretized by the fifth-order WENO scheme, and the residual terms are discretized by the Lax–Friedrichs method. Finally, the reliability and validity of the compressible two-phase model are verified by numerical simulations.
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    An Energy Stable $C^0$ Finite Element Scheme for A Phase-Field Model of Vesicle Motion and Deformation
    (SIAM Journal on Scientific Computing, 2022-01) Shen, L; Xu, Z; Lin, P; Huang, H; Xu, S
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    Diffuse interface model for cell interaction and aggregation with Lennard-Jones type potential
    (Computer Methods in Applied Mechanics and Engineering, 2023-10-01) Shen, L; Lin, P; Xu, Z; Xu, S
    This study introduces a phase-field model designed to simulate the interaction and aggregation of multicellular systems under flow conditions within a bounded spatial domain. The model incorporates a multi-dimensional Lennard-Jones potential to account for short-range repulsion and adhesive bonding between cells. To solve the governing equations while preserving energy law, a second-order accurate C0 finite element method is employed. The validity of the model is established through numerical tests, and experimental data from cell stretch tests is utilized for model calibration and validation. Additionally, the study investigates the impact of varying adhesion properties in red blood cells. Overall, this work presents a thermodynamically consistent and computationally efficient framework for simulating cell–cell and cell–wall interactions under flow conditions.
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    Prostate Bed Motion During Post-Prostatectomy Radiotherapy
    (MEDICAL PHYSICS, 2012-06) Xu, Z; Li, T; Lee, W; Hood, R; Godfrey, D; Wu, Q