Collaborative Research: Multigrid QCD at the Petascale

0749300 Brower 0749202 Brannick 0749317 McCormick格子上量子色动力学的数值解对于标准模型的高精度实验测试和对核物质的从头算理解至关重要。这些计算的核心涉及逆狄拉克矩阵，随着晶格的细化，狄拉克矩阵变得越来越病态。 因此，虽然太尺度计算硬件已经揭示了这种新的物理，但它无法完全容纳它。另一方面，如果晶格QCD算法被重新制定，以利用和揭示这种更精细的微观物理，那么太尺度硬件确实有潜力开辟一个新的物理发现时代。 该奖项汇集了应用数学和理论物理领域领先专家的密切合作，通过应用新的多层次算法进行QCD模拟来应对这一挑战。 Petascale项目（MGQCD）提出的多重网格量子色动力学的中心使命是：开发新的和更强大的多重网格方法，使更复杂和更高保真的物理晶格QCD计算;支持他们迁移到Petascale模拟;并通过合作研究和教育活动，突出多重网格方法，从事更广泛的科学界。

0749300Brower0749202Brannick0749317McCormick Numerical solutions to Quantum Chromodynamcs on a lattice are critical to high precision experimental tests of the standard model and an ab-initio understanding of nuclear matter. The core of these calculations involves inverting a Dirac matrix which becomes increasingly ill conditioned as the lattice is refined. Consequently while Terascale computing hardware has exposed this new physics, it is incapable of fully accommodating it. On the other hand, if lattice QCD algorithms are reformulated to exploit and reveal the physics at this finer microsale, Petascale hardware does have the potential for opening up a new era of physics discovery. This award brings together a close collaboration of leading experts in applied mathematics and theoretical physics to meet this challenge by the application of new multi-level algorithms for QCD simulations. The central mission of the proposed Multigrid Quantum Chromodynamics at the Petascale project (MGQCD) is: to develop new and significantly more robust multigrid methods for enabling more complex and higher fidelity physics for lattice QCD calculations; to support their migration into Petascale simulations; and to engage the broader scientific community through collaborative research and educational activities that highlight the multigrid methodology.