IMPROVED MPS METHOD FOR ENERGY CONSERVATION AND ITS APPLICATION TO IRREGULAR WAVE SIMULATION

Abstract

 One of the issues for particle methods is the energy conservation. The lack of energy conservation can induce unphysical attenuation of wave height in a wave analysis; however, because previous particle methods have insufficient energy conservation, a long-distance wave propagation has not been able to be simulated in particle methods. In addition, because smaller waves gradually attenuate during a propagation, it was difficult to simulate irregular waves. Therefore, this study proposes a perfectly energy-conserved particle method with using the IDS method and a modified algorithm. The proposed model is verified through two benchmark tests: a standing-wave and a solitary-wave simulations. In both simulations, the calculated results using the proposed model agree well with the theoretical solutions. Then, the application of the proposed model to an irregular-wave simulation is examined. It is shown that irregular waves generated in a flat-bottom wave flume do not attenuated even at a further point from a wave maker.