求解多尺度双曲型问题的一种新方法

建立了有限体积非均匀化多尺度方法（Finite Volume Heterogeneous Multi-scale Method，FV—HMM），将其应用于二阶多尺度双曲型问题的求解。该方法分别在宏观尺度和细观尺度上建立原方程的差分格式。通过不同尺度间的耦合．有效地减小了计算所需代价。数值实验结果表明：FV—HMM比传统的有限体积法有效，既大大地节省了计算量，又有较高的精度。

A New Method for Multi-scale Hyperbolic Problems

The finite volume heterogeneous multi-scale method(FV-HMM) is proposed, for solving multi-scale hyperbolic problems. The numerical method relied on two different schemes for original equation, and gives numerical results at a much lower cost. The numerical results show that the proposed method is better than the finite volume method not only in calculation greatly but also in accuracy.