A low-order approximation for viscous-capillary phase transition dynamics
A low-order approximation for viscous-capillary phase transition dynamics
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粘性毛细管相变动力学的低阶近似
DOI：
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发表时间：
2013
期刊：
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通讯作者：
C. Rohde
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文献类型：
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作者：
P. Engel;Adrian Viorel;C. Rohde
弹性杆在两个阶段的动力学可以用粘度-毛细模型来描述。它们包含数值上复杂的三阶或完全非局部项来解释表面能。基于Solci&Vitali的工作，我们分析了一种不涉及三阶微分算子的替代建模方法。证明了在耦合参数趋于无穷大的条件下，新模型的解趋向于经典黏性-毛细模型的解。数值实验证明了我们的发现。事实上，新模型为计算经典黏度-毛细模型的近似解提供了一种可靠而有效的方法。预印本系列第2012号斯图加特模拟技术研究中心（SRC SimTech） SimTech -卓越集群Pfaffenwaldring 7a 70569 Stuttgart publications@simtech.uni-stuttgart.de www.simtech.uni-stuttgart.de黏性-毛细相变动力学的低阶近似德国patrick.engel@mathematik.uni-stuttgart.de Adrian Viorel babes - bolai大学应用数学系，Kogalniceanu 3， RO-400084克卢日纳波卡，罗马尼亚adrian.viorel@math.ubbcluj.ro斯图加特Christian Rohde大学，数学分析与数值模拟研究所，Pfaffenwaldring 57， D-70569斯图加特，德国christian.rohde@mathematik.uni-stuttgart.de 2012年10月5日
The dynamics of an elastic bar that appears in two phases can be described by viscositycapillarity models. They contain numerically complicated third-order or fully nonlocal terms to account for surface energies. Based on work of Solci&Vitali we analyze an alternative modelling approach that does not involve third-order differential operators. It is proven that solutions of the new model tend to solutions of the classical viscosity-capillarity model provided a so-called coupling parameter tends to infinity. Numerical experiments illustrate our findings. In fact it is shown that the new model provides a reliable and efficient approach to compute approximate solutions for the classical viscosity-capillarity model. Preprint Series Issue No. 2012 Stuttgart Research Centre for Simulation Technology (SRC SimTech) SimTech – Cluster of Excellence Pfaffenwaldring 7a 70569 Stuttgart publications@simtech.uni-stuttgart.de www.simtech.uni-stuttgart.de A Low-Order Approximation for Viscous-Capillary Phase Transition Dynamics Patrick Engel Universitat Stuttgart, Institut fur Angewandte Analysis und Numerische Simulation, Pfaffenwaldring 57, D-70569 Stuttgart, Germany patrick.engel@mathematik.uni-stuttgart.de Adrian Viorel Babes–Bolyai University, Department of Applied Mathematics, Kogalniceanu 3, RO-400084 Cluj-Napoca, Romania adrian.viorel@math.ubbcluj.ro Christian Rohde Universitat Stuttgart, Institut fur Angewandte Analysis und Numerische Simulation, Pfaffenwaldring 57, D-70569 Stuttgart, Germany christian.rohde@mathematik.uni-stuttgart.de October 5, 2012