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Title: Corrected smooth particle hydrodynamics techniques for debris flows simulations
Author: Rodriguez-Paz, M. X.
Awarding Body: University of Wales Swansea
Current Institution: Swansea University
Date of Award: 2003
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This work develops a numerical methodology to simulate free surface flows over natural terrains with special focus on debris flows. The numerical scheme is based on Corrected Smooth Particle Hydrodynamics (CSPH). This method is a particle based Lagrangian meshless technique. The meshless nature of this approach avoid re-meshing or mesh entanglement, which are common in large deformation problems, for other numerical techniques. The first part of the thesis deals with the presentation of debris flows. A brief review is presented on the causes of this kind of phenomena as well as its physical properties. An introduction of CSPH interpolation techniques is also presented, before introducing a set of equations for the two-dimensional numerical simulation of debris flows problems. Some examples of the applicability of the method are then presented in 2D. The second part of this work introduces a complete new formulation of the SPH equations based on variational principles and the Euler-Lagrange equations of motion. The main property of this new formulation is the variable smoothing length, which helps to overcome some problems encountered when using standard SPH formulations. This new technique, namely VSPH is then applied to the derivation of a set of equations for the Shallow Waters assumptions. The resulting technique is named the Lagrangian Shallow Waters SPH equations. One of the main features of this approach is the complete meshless nature. A general terrain is approximated by means of CSPH expressions and the free surface flow with the Hamiltonian SPH equations applied to Shallow Waters. Some examples are included featuring the ability of the method to deal with different geometric shapes for the terrain and the fluid.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available