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

9221808伦纳德大气过程数值模式是制作业务预报和协助研究人员了解各种物理过程之间的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。随着计算机能力的增强，大气预报、气候和研究模式的空间分辨率的提高，因此对更准确的数值平流方案的需求也越来越重要。这是因为更高的空间分辨率允许表示更清晰的渐变和渐变中的变化。首席调查员将致力于为大气过程中典型的以平流为主的流动开发一种高精度、计算效率高的方案。具体目标包括将首席调查员先前关于三阶一维平流方案的工作扩展到三个维度。他还将研究多维通用限制器的开发。这项研究的成功完成应会改进各种大气现象的数值模式。***

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. ***