Collaboration in Mathematical Geosciences: Numerical Studies of Sea Surface Wave Height Statistics with Application to Sea Level Sensing Using Satellite Altimetry

卫星雷达高度计是用于监测全球平均海平面随时间变化的主要传感器。这个问题对我们理解气候变化的影响具有重要影响。为了能够精确测量平均海平面的演变，重要的是要减少与测量技术相关的误差。误差的主要来源之一，称为电磁偏差，涉及高度计脉冲从起伏的海面散射的基本过程。在这项研究中，俄亥俄州立大学的科学家和数学家将开发新的数学算法来描述海面的非线性演化，并将其与数值电磁散射算法相结合，以预测高度计的返回。该项目将汇集和扩展海面演变和粗糙表面电磁散射的最新数值算法。这些技术与许多应用有关，因此这项研究将对包括雷达物理、计算流体力学和传感器仪器以及物理海洋学在内的一系列应用产生影响。

ABSTRACTOCE-0620885Satellite radar altimeters are the primary sensor that has been used to monitor how global mean sea level changes over time. This issue has important implications for our understanding of the impact of climate change. In order to enable precise measurements of mean sea level evolution, it is important to reduce the errors associated with the measurement technique. One of the primary sources of error, called the EM bias, involves the basic process by which an altimeter pulse is scattered from the rough sea surface. In this study, scientists and mathematicians at Ohio State University will develop new mathematical algorithms to describe the non-linear evolution of the sea surface and this will be coupled with numerical electromagnetic scattering algorithms to predict altimeter returns. The project will bring together and extend the state-of-the-art in numerical algorithms for the evolution of the sea surface as well as electromagnetic scattering from rough surfaces. These techniques are relevant for many applications and thus the study will have an impact across a range of applications including radar physics, computational fluid dynamics and sensor instrumentation as well as physical oceanography.