逆流中传播锋的强钉扎
Strong pinning of propagation fronts in adverse flow
摘要：
反应前沿在多孔介质中的演化表现出丰富的动力学行为。实验表明，在存在逆流的情况下，锋面速度减慢，最终被钉扎，显示出一种特殊的锯齿形。广泛的流体动力学方程的数值模拟证实了实验观察。在这里，我们提出了一个程式化的模型，预测两种可能的结果的实验大逆流：无论是前面开发一个小的形状，或它获得一个复杂的结构与岛屿和悬垂。一个简单的标准，可以区分这两种情况下，其有效性再现直接流体动力学模拟。我们的模型给出了一个更好的理解的过渡，是相关的在各种领域，当钉扎制度是强大的，只依赖于少量的网站。
英文摘要：
Reaction fronts evolving in a porous medium exhibit a rich dynamical behaviour. In presence of an adverse flow, experiments show that the front slows down and eventually gets pinned, displaying a particular sawtooth shape. Extensive numerical simulations of the hydrodynamic equations confirm the experimental observations. Here we propose a stylized model, predicting two possible outcomes of the experiments for large adverse flow: either the front develops a sawtooth shape, or it acquires a complicated structure with islands and overhangs. A simple criterion allows to distinguish between the two scenarios and its validity is reproduced by direct hydrodynamical simulations. Our model gives a better understanding of the transition and is relevant in a variety of domains, when the pinning regime is strong and only relies on a small number of sites.
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