US-Germany Cooperative Research: Numerical Treatment of Multiscale Phenomena

0339107Franca该奖项支持Leopoldo Franca和科罗拉多大学丹佛分校的学生与德国马格德堡工业大学分析与数值研究所的Lutz Tobiska合作。该合作将侧重于开发用于模拟多尺度现象的新型有限元方法。我们将特别关注那些涉及比计算网格更精细的特征的问题。多尺度现象存在于许多应用中，当前的项目侧重于湍流，其中小特征影响流动的大特征。这项研究的结果将导致对涉及各种尺度的大规模问题的改进模拟。待开发的分析方法将有助于理解和奠定未来计算方法的基础。此外，这些方法的构造使它们能够充分利用并行机器，使它们对大规模计算具有吸引力。

0339107FrancaThis award supports Leopoldo Franca and students from the University of Colorado-Denver in a collaboration with Lutz Tobiska of the Institute of Analysis and Numerics at the Technical University of Magdeburg, Germany. The collaboration will focus on the development of novel finite-element methods for simulating multi-scale phenomena. Particular attention will be paid to problems that involve features that are finer than the computation mesh. Multiscale phenomena are present in many applications, and the current project focuses on turbulent flows, where small features influence the large features of the flow. The outcome of the research will lead to improved simulations of large-scale problems involving various scales. The methods of analysis to be developed will contribute to the understanding and the foundations of future computational methods. Furthermore, the methods are constructed so that they can take full advantage of parallel machines, making them attractive for large-scale computations.