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)提供资金的。我们的计算科学家、物理学家、工程师和应用数学家之间的跨学科合作的目标是建立一个能够开发下一代千万亿级系统甚至更远的全尺度统一模拟系统。本文提出的进展有可能极大地加强与连续介质力学有关的各种研究学科的可能突破。具体来说，新的内容包括：同时自适应h-p非结构非协调网格的高阶间断Galerkin方法，时间积分的多种方法，包括多速率、隐式-显式(IMEX)、强保持稳定性(SSP)、指数积分器、准区域时间积分、基于伴随的误差估计，以及新的最优迭代求解器。这些想法最终将被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.