U.S. -Spain Cooperative Research: Advanced Methods for 3D Numerical Relativity

Seidel这个为期三年的奖项支持美国和西班牙在3D数值相对论先进方法方面的合作研究，这些研究是由伊利诺伊大学国家超级计算应用中心的相对论小组和西班牙巴利阿里群岛大学的相对论小组共同完成的。这些小组将开发数字代码，使用爱因斯坦方程的新数学公式来探索广义相对论的各个方面。这一公式允许将基于调和时间切片条件的复杂数值技术应用于爱因斯坦方程，这将允许对这些方程进行比可能的更精确的数值解。NCSA小组将受益于UIB小组在爱因斯坦方程的这一高级公式和适当的数值方法方面的专业知识。UIB小组对NCSA资源和专业知识的访问将允许UIB小组开发和测试数值算法，并解决物理问题，例如纯引力波和黑洞的3D数值研究。这些团队将能够共同构建一种3D数字代码，能够以前所未有的精度解决物理问题。

Seidel This three-year award supports U.S.-Spain cooperative research in advanced methods for 3D numerical relativity between the relativity group at the National Center for Supercomputing Applications at the University of Illinois and the relativity group at the University of the Balearic Islands in Spain. These groups will develop numerical codes to explore aspects of general relativity using a new mathematical formulation of the Einstein equations. This formulation permits application to the Einstein equations sophisticated numerical techniques, based on the harmonic time slicing condition, that will allow for a more accurate numerical solution to these equations than has been possible. The NCSA group will benefit by drawing from the UIB group's expertise on this advanced formulation of the Einstein equations and appropriate numerical methods. The UIB group's access to NCSA resources and expertise will permit the UIB group to develop and test numerical algorithms and attack physical problems, such as the 3D numerical study of pure gravitational waves and black holes. Together these groups will be able to build a 3D numerical code capable of solving physical problems with unprecedented accuracy.