Postdoc: Spectral Methods for Complex Geometries

9504002 Gottlieb将进一步发展复杂几何中非定常双曲型问题的新的谱多区域方法，并在可扩展的并行计算机体系结构上实现。这些格式是基于使用惩罚项来实施边界/修补条件，并且这些格式可以被证明是渐近稳定的。谱方法的一种新方法将允许在单独的子域中使用非结构化网格。将这两种新方法结合起来，将得到一个具有完全几何灵活性的算法。

9504002 Gottlieb New spectral multi-domain methods for unsteady hyperbolic problems in complex geometries will be developed further and implemented on scalable parallel computer architectures. These schemes are based on the use of a penalty term for enforcing the boundary/patching conditions and the schemes may proven asymptotically stable. A new approach to spectral methods will allow for unstructured grids in the individual subdomains. Combining these two novel approaches will result in an algorithm with full geometric flexibility.