Cavitating flow is consisted of various scale phenomena such as each bubble motion and continuum bubbly flow. It is required to take those phenomena into account and to simulate those flows combining detail each bubble motion and wave phenomena in the cavitating bubbly flow. Reduced-order models are introduced to taken into account the compressibility of liquid and the internal phenomena of bubbles. The nonlinear behavior of the spherically symmetric bubble cloud is numerically investigated at various frequency and pressure amplitude conditions. As the result, when the amplitude of the pressure fluctuation is high enough to generate nonlinear waveform which has much higher harmonics components inside the cloud, the pressure wave strongly focuses at the cloud center. On the other hand, we apply our numerical simulation code with the bubble model for cavitating flows to predict the cavitation erosion in a centrifugal pump. The predicted high cavitation intensity area, which is estimated by analyzing the bubble pressure and bubble nuclei distribution in the flow, agrees well with the experimental erosion area.