(i) the classical SPH method has been combined with the Runge Kutta Chebyshev scheme and (ii) a new time space Adaptive Smooth Particle Hydrodynamics (ASPH) algorithm has been developed in this thesis. The SPH method employs a purely meshless Lagrangian numerical technique for spatial discretisation of the domain and it avoids many numerical difficulties related to re meshing in mesh based methods such as the finite element method. The explicit Runge Kutta Chebyshev (RKC) scheme is developed to accurately capture the dynamics in elastic materials for the SPH method in the study. The robust pre tax net present value (NPV) with a 10 per cent discount rate stood at approximately $764 million on a nominal basis
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