Collaborative Research: A multiscale unified simulation environment for geoscientific applications

该奖项是根据2009年美国复苏和再投资法案（公法111-5）资助的。我们的目标是建立一个全尺度统一的仿真系统，可以利用下一代的千万亿次系统和超越之间的计算科学家，物理学家，工程师和应用数学家的跨学科eort。本文所提出的进展具有极大地促进与连续介质力学有关的各种研究学科可能取得突破的潜力。具体而言，创新将包括：高阶间断Galerkin方法与同时自适应h-p非结构化非协调网格，多方法的时间积分，包括多速率，隐式显式（IMEX），强稳定性保持（SSP），指数积分，Parareal时间积分，伴随的误差估计，和新的最佳迭代求解器。这些想法最终将用于深层大气和海洋模型。

This award is funded under the American Recovery and Reinvestment Act of 2009 (Public Law 111-5). The goal of our interdisciplinary e ort between computational scientists, physicists, engineers and applied mathematicians is to build an all{scales unified simulation system that can exploit the next generation of petascale systems and beyond. The advances proposed herein hold the potential of greatly enhanc-ing possible breakthroughs in various research disciplines involved with continuum mechanics. Specifically, the novelties will include: high-order discontinuous Galerkin methods with simultaneous adaptive h-p unstructured non-conforming meshes, multi-methods for time integration including multirate, implicit-explicit(IMEX), strong-stability preserving (SSP), exponential integrators, Parareal time-integration, adjoint-based error estimates, and new optimal iterative solvers. These ideas will ultimately be targeted for use on a deep atmosphere and ocean model.