Application of Smoothed Particle Hydrodynamics to Fluid Flow Involving Solid Boundaries.
PENNSYLVANIA STATE UNIV UNIVERSITY PARK APPLIED RESEARCH LAB
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Smoothed particle hydrodynamics SPH is a non-Monte Carlo free-Lagrangian method of computational fluid dynamics that has recently expanded in scope beyond its parent application of astrophysical simulations. Modelling terrestrial flows involving boundaries is an important extension of the technique. This thesis describes the application of SPH to model compressible and incompressible flows involving boundaries. Simulations of shock wave reflection in a one-dimensional shock tube have been made. Different boundary methods have been compared with regards to their ability to model a one-dimensional reflecting shock wave. The simulations show that the introduction of imaginary particles appears to be the most effective method of boundary simulation for transient shock reflection. Simulations also show that the choice of artificial diffusion treatment for best reflection is ambiguous. Incompressible flow has been modelled using several test problems. To model incompressible flow, modifications to the standard SPH equations are necessary. An artificial compressibility technique is introduced through a fluid specific equation of state. Real viscosity has been introduced. Results are shown for three test cases Couette flow, Stokes first problem, and a shear driven cavity.
- Fluid Mechanics