High-Accuracy Multidimensional Positivity-Preserving Finite-Volume Advection Scheme for Atmospheric Modelling

9221808 Leonard大气过程的数值模型是生产业务预报和帮助研究人员了解各种物理过程之间基本相互作用的宝贵工具。任何数值模式的一个重要组成部分是大气过程的精确数学表示。随着计算机能力的提高和大气预报、气候和研究模式的空间分辨率的提高，对更精确的数值平流方案的需求日益增加。这是因为更高的空间分辨率允许表示更清晰的梯度和梯度的变化。首席研究员将致力于开发一种高度精确、计算效率高的方案，用于研究典型的大气过程中以平流为主的气流。具体目标包括将首席研究员之前在三阶一维平流方案上的工作扩展到三维。他还将研究多维通用限幅器的发展。这项研究的成功完成将会改善各种大气现象的数值模式的表示。＊＊＊

9221808 Leonard Numerical models of atmospheric processes are valuable tools for producing operational forecasts and to assist researchers in understanding fundamental interactions between various physical processes. An important component of any numerical model is the accurate mathematical representation of atmospheric processes. As computer power has increased and the spatial resolution of atmospheric forecast, climate and research models has improved, so the need for more accurate numerical advection schemes has increased in significance. This is because higher spatial resolution allows representation of sharper gradients and changes in gradients. The Principal Investigator will pursue the development of a highly accurate, computationally efficient scheme for advection-dominated flows typical of atmospheric processes. Specific objectives include extending to three dimensions the Principal Investigator's previous work on a third order, one-dimensional advection scheme. He also will investigate the development of a multidimensional universal limiter. Successful completion of this research should result in improved representations in numerical models of a variety of atmospheric phenomena. ***