Computation of Underwater Acoustic Wave Propagation Using the WaveHoltz Iteration Method

Abstract: In this thesis, we explore a novel approach to solving the Helmholtz equation,the WaveHolz iteration method. This method aims to overcome some ofthe difficulties with solving the Helmholtz equation by providing a highlyparallelizable iterative method based on solving the time-dependent Waveequation. If this method proves reliable and computationally feasible it wouldhave great value for future application. Therefore, it is of interest to evaluatethe performance and properties of this method. To fully evaluate this method,the method was implemented and conclusions were based on results fromsimulations of the method. The method was able to solve problems in threedimensions and it seems that the method is very well suited for parallelized computations. To replicate real-world scenarios simulations of problems ininfinite and curvilinear domains were conducted. Based on the result presentedhere it is possible to further refine the method, especially regarding the setupof the domain and the implementation of boundary conditions for infinitedomains.