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Multi-physics Diffuse Interface Methods For Computational Material Modelling 10.17863/CAM.89181 Wallis, Timothy 0000000164292493 Nikiforakis, Nikolaos Barton, Philip This thesis develops a novel numerical method for computational material modelling that is capable of incorporating a broad range of different materials and physical processes. Specifically, this work uses an Eulerian finite-volume diffuse interface scheme to examine high-Mach-number flows in a range of materials, including fluids, elastoplastic solids and multi-phase mixtures. This is achieved by both amalgamating existing separate diffuse interface methods for multi-phase reactive fluids and solid dynamics, as well as extending the model with a set of novel methods to allow for the application of a range of different material boundary conditions in a diffuse interface context. The resulting model is three-dimensional, highly parallelisable, compatible with adaptive mesh refinement, and straightforward to implement. Moreover, the method facilitates the incorporation of different physical processes with ease. This allows the method to be validated by comparing to experiment and existing numerical simulation in a broad range of strenuous scenarios, including multi-material flows, elastoplastic solid dynamics, solid-explosive interaction, and ductile fracture and fragmentation. The method is shown to match these experiments very well. University of Cambridge 2022-06-01 Thesis Doctoral Doctor of Philosophy (PhD) eng https://www.repository.cam.ac.uk/handle/1810/341757 https://apollo8-f-pro.lib.cam.ac.uk/bitstreams/86035546-1914-4048-8a0c-6cfe0ae431bb/download ba9c7045facbe88205721a8c317c915e https://www.rioxx.net/licenses/all-rights-reserved/ Physics Computational Physics Computational Fluid Dynamics Multi-material Hypersonic Eulerian Diffuse interface Riemann problem Solid dynamics Damage Fracture Plasticity Slide Void Boundary conditions Explosive Detonation Multi-phase Multi-fluid Numerical methods Rigid bodies AMR Parallelisation Fluid-structure interaction Hyper-elastic Elasto-plastic Finite volume