A new energy and enstrophy conserving scheme is evaluated using a suite of test cases over the global spherical domain or bounded domains. The evaluation is organized around a set of pre-defined properties: accuracy of individual opeartors, accuracy of the whole scheme, conservation, control of the divergence variable, representation of the energy and enstrophy spectra, and simulation of nonlinear dynamics. The results confirm that the scheme is between the first and second order accurate, and conserves the total energy and potential enstrophy up to the time truncation errors. The scheme is capable of producing more physically realistic energy and enstrophy spectra, indicating that the new scheme can help prevent the unphysical energy cascade towards the finest resolvable scales. With an optimal representation of the dispersive wave relations, the scheme is able to keep the flow close to being non-divergent, maintain the geostrophically balanced structures with large-scale geophysical flows over long-term simulations.
翻译:使用全球球域或封闭域的一组测试案例来评估新的能源和营养保护计划。评估围绕一套预先界定的特性进行:个体食人器的准确性、整个计划准确性、保存、差异变量的控制、能量和营养素光谱的表示以及非线性动态的模拟。结果证实该计划在第一和第二级之间准确性,并保护总能量和潜在营养营养,直至时间变速误差。该计划能够产生更实际现实的能量和营养质谱,表明新计划能够帮助防止非物理能源级联走向最佳的可溶尺度。如果分散波关系得到最佳的反映,该计划能够使流动接近非挥发性,保持地质营养平衡结构,在长期模拟中以大规模地球物理流维持。