A combination of reaction-diffusion models with moving-boundary problems yields a system in which the diffusion (spreading and penetration) and reaction (transformation) evolve the system's state and geometry over time. These systems can be used in a wide range of engineering applications. In this study, as an example of such a system, the degradation of metallic materials is investigated. A mathematical model is constructed of the diffusion-reaction processes and the movement of corrosion front of a magnesium block floating in a chemical solution. The corresponding parallelized computational model is implemented using the finite element method, and the weak and strong scaling behaviors of the model are evaluated to analyze the performance and efficiency of the employed high-performance computing techniques.

中文翻译：

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具有移动界面的耦合反应扩散系统的高度可扩展的数值模拟

反应扩散模型与移动边界问题的组合产生了一个系统，其中扩散（扩散和渗透）和反应（转换）随着时间的推移演化系统的状态和几何形状。这些系统可用于广泛的工程应用。在这项研究中，作为这种系统的一个例子，研究了金属材料的降解。数学模型由扩散反应过程和漂浮在化学溶液中的镁块的腐蚀前沿运动构成。使用有限元方法实现了相应的并行计算模型，并评估了模型的弱和强缩放行为，以分析所采用的高性能计算技术的性能和效率。