The Moving Particle Semi-implicit-Controlled Volume (MPS-CV) method, based on the MPS method and Finite Volume Method (FVM), is a particle-grid coupling method. In this method, the particle interaction models in the MPS method are used to discretize and solve the momentum equation. For the eutectic reaction model, the FVM is used to solve the mass transfer equation if the particle locates at the boundary or the interface between different substances. In contrast, the particle interaction models are still used to discretize and solve the remaining particles' mass transfer equations. Therefore, it has advantages in describing fluid interfaces with large deformation and phase transition problems. Simultaneously, the MPS-CV method avoids the apparent error in calculating the mass transfer equation of boundary and interface between different substances due to the truncation of support domain in that area particles while using particle interaction models in the MPS method. In this study, the simulation of one-dimensional mass transfer and phase transition was used to verify the MPS-CV method, and the results were compared with those obtained by the MPS method. It showed that the MPS-CV method could get more accurate results in the calculation than the MPS method. Then the cladding oxidation mechanism at 1300 ~ 1800 K and the dissolution behavior between ZrO₂ and molten zirconium at 2373 ~ 2573 K were analyzed using the MPS-CV method. The results indicated that the change of oxygen content obeyed parabolic laws. So did the oxide and α-Zr(O) layers' growth rates in cladding oxidation. And compared with the fixed parabolic relations used in commercial codes, the MPS-CV method can obtain the corresponding relationships according to different reaction conditions. The dissolution between ZrO₂ and molten zirconium at high temperatures showed a parabolic pattern in the early stage. In the later stage of the reaction, the oxygen in the melt gradually reached saturation, and the solid ZrO₂ did not continue to melt. The simulation results of the molten zirconium with the same volume but different contact areas with ZrO₂ crucible showed that the larger the contact area was, the higher the growth rate of oxygen content in the melting the early stage of the reaction was. And it also showed that the larger the contact area was, the less dissolution volume of the ZrO₂ crucible was.

基于MPS方法和有限体积方法（FVM）的移动粒子半隐式控制体积（MPS-CV）方法是一种粒子-网格耦合方法。在这种方法中，MPS方法中的粒子相互作用模型用于离散化和求解动量方程。对于共晶反应模型，如果颗粒位于不同物质之间的边界或界面处，则将FVM用于求解传质方程。相反，粒子相互作用模型仍用于离散化和求解剩余粒子的传质方程。因此，它在描述具有大变形和相变问题的流体界面方面具有优势。同时地，MPS-CV方法避免了在使用MPS方法中使用粒子相互作用模型时，由于该区域粒子中支持域的截断而在计算不同物质之间的边界和界面的传质方程时出现明显的误差。在这项研究中，使用一维传质和相变的模拟来验证MPS-CV方法，并将结果与​​MPS方法获得的结果进行比较。结果表明，与MPS方法相比，MPS-CV方法在计算中可以获得更准确的结果。然后研究了1300〜1800 K熔覆层的氧化机理以及ZrO之间的溶解行为 通过一维传质和相变的模拟对MPS-CV方法进行了验证，并将结果与​​MPS-CV方法进行了比较。结果表明，与MPS方法相比，MPS-CV方法在计算中可以获得更准确的结果。然后研究了1300〜1800 K熔覆层的氧化机理以及ZrO之间的溶解行为 通过一维传质和相变的模拟对MPS-CV方法进行了验证，并将结果与​​MPS-CV方法进行了比较。结果表明，与MPS方法相比，MPS-CV方法在计算中可以获得更准确的结果。然后研究了1300〜1800 K熔覆层的氧化机理以及ZrO之间的溶解行为使用MPS-CV方法分析₂和2373〜2573 K下的熔融锆。结果表明，氧含量的变化符合抛物线规律。熔覆层中的氧化物和α-Zr（O）层的生长速率也是如此。与商业代码中使用的固定抛物线关系相比，MPS-CV方法可以根据不同的反应条件获得相应的关系。ZrO ₂和熔融锆在高温下的溶解在早期显示出抛物线型。在反应的后期，熔体中的氧逐渐达到饱和，并且固体ZrO ₂不再继续熔融。相同体积但与ZrO ₂接触面积不同的熔融锆的模拟结果坩埚显示，接触面积越大，反应初期熔融中氧含量的增长速率越高。并且还表明，接触面积越大，ZrO ₂坩埚的溶解体积越小。