高效守恒格式及其应用研究

In this work, some new difference schemes, which conserve the stability, precision and efficiency of the computations, are constructed for improving the climate numerical simulation. These schemes are total energy conservation schemes, symplectic schemes, semi-Lagrangian energy conservation schemes, etc. The numerical examinations and numerical simulations shows that new algorithms are effective.

在现有显式平方守恒格式的基础上，吸收若干有效计算格式的优点，构造新一代的高效显式平方守恒格式。该格式兼顾考虑计算稳定性、计算准确性和计算省时性，并在二维模型和三维大气环流模式上作计算检验，可达到长时间计算稳定、节省大量计算时间并较好抑制非物理现象出现的好效果，对开展气候数值模拟和预测研究提供具有中国特色的有效工具。