U.S.-Argentina Cooperative Research: Mathematical Analysis of Numeric Solutions in Computational Mechanics

该奖项支持阿根廷高级研究所的Luis Caffarelli和Antony Jameson以及阿根廷机械计算协会的Sergio Idelsohn和Nestor Aguera在计算力学方面的合作研究。这项研究将在计算空气动力学领域进行，目的是开发准确和有效的方法来预测飞机或其主要部件周围的空气动力流动。这项工作将继续对包括火焰传播在内的几种情况下出现的自由边界问题进行富有成效的持续研究。Caffarelli和Aguera将集中讨论自由边界问题及其奇异摄动，特别是水平曲面的一致行为和数值计算方法的稳定性。另一方面，Jameson和Idelsohn将使用数值技术、算子对称化、局部变分原理和有限元方法来研究小粘性流动及其极限。

This award supports cooperative research in computational mechanics between Luis Caffarelli and Antony Jameson of the Institute for Advanced Study and Sergio Idelsohn and Nestor Aguilera of the Association for Mechanical Computation in Argentina. The research will be in the field of computational aerodynamics with the objective of developing accurate and efficient methods of predicting aerodynamic flows around aircraft or their principal components. This work will continue productive ongoing research on free boundary problems which arise in several contexts including flame propagation. Caffarelli and Aguilera will concentrate on the free boundary problems and their singular perturbations, in particular the uniform behavior of level surfaces and the stability of numerical methods of calculation. Jameson and Idelsohn on the other hand will center their work on flows with small viscosity and their limits using numerical techniques, symmetrization of operators, local variational principles and finite element methods.