论文标题
具有最佳分散波关系的保守数值方案 - 第二部分。数值评估
Conservative numerical schemes with optimal dispersive wave relations -- Part II. Numerical evaluations
论文作者
论文摘要
使用全球球形域或有限域上的一组测试用例评估了一种新的能量和肠道保护方案。 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.结果证实了该方案在第一阶和第二阶之间的准确性之间，并将总能量和潜在的陷入困境保存到时间截断误差。该方案能够产生更逼真的能量和腹膜光谱，表明新方案可以帮助防止非物理能量级联对最好的分解尺度。通过对分散波关系的最佳表示，该方案能够使流量保持接近不发散，在长期模拟上保持具有大规模的地球物理流量的地球平衡结构。
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.
