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中文摘要：
以求解双曲守恒律组的FD-WENO格式为基础提出了两类用于求解非守恒可压缩理想流体力学方程组的数值方法。通过求解若干Riemann问题及周期漩涡问题对这两类方法及已有的其它方法进行了测试和比较。数值试验表明这两类格式用于求解非守恒理想流体力学方程组时，计算是稳定的，能够算出较好的数值结果。
英文摘要：
Two classes of numerical methods based on FD-WENO schemes were recommended for solving nonconservatiw compressible ideal fluid dynamics equations. For comparison purpose, these methods and some other existing related methods were tested on several Riemann problems and periodic vortex problem. The numerical experiments show that these two classes of methods not only have good stability properties, but also can get more accurate numerical results.
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