中性水凝胶多相混合模型的相变研究

Numerical Simulation of the Volume Transition of a Neutral Hydrogel Based on Multiphasic Mixture Theory

基于多相介质混合理论建立的模型,研究中性水凝胶的相变行为,经过一定的合理简化,得到了一个关于固相体积分数的偏微分方程.一维情况下,在不同的初始条件下通过差分格式数值模拟相变的动态过程,与稳态结果吻合得很好,并且相变得很平缓;二维情况下,基于不动点迭代,数值模拟了周期小扰动边界下相变的稳态情况,分析了相变特点.

In this paper, a numerical model based on a multiphasic mixture theory is developed to simulate the volume transition of a neutral hydrogel. Then a nonlinear equation of solid volume fraction is obtained through some reasonable simplification. First, in different initial conditions, the dynamic result in one-dimension situation settled by difference scheme is identical with the steady state, and the volume transition is changing gently; then considering the astringency of fixed-point and iteration finite difference in arithmetic, two- dimension situation is also numerically solved in periodic boundary with small disturbance. At last, the major character of the volume transition of the neutral hydrogel is discussed.