Mechanical Engineering ETDs

Publication Date

Spring 4-8-2020


A mixing model analyzes the mixing of helium (He) and sulfur hexafluoride (SF6) according to two classical gaseous equations of state (EOS), namely, Amagat’s Law and Dalton’s Law, undergoing planar traveling shocks in three dimensions (3D). Numerical simulations utilize the Sandia National Laboratories (SNL) shock hydrodynamic code CTH and other codes including the SNL thermochemical equilibrium code TIGER and the uncertainty qualification (UQ) and sensitivity analysis code DAKOTA. Comparison with experimental results show that none of the equations of state are able to accurately predict the properties of the shocked mixture; similar discrepancies have been observed in previous works. A sensitivity study using incremental Latin Hypercube Sampling (iLHS) was performed upon the model and various metrics were used to establish convergence of model behaviour. Sensitivity results indicate that the mixing model is most sensitive to the initial temperature of the He/SF6 mixture.


equation of state, Amagat, Dalton, shock tube, sensitivity analysis, incremental Latin Hypercube Sampling, model form error

Degree Name

Mechanical Engineering

Level of Degree


Department Name

Mechanical Engineering

First Committee Member (Chair)

Peter Vorobieff

Second Committee Member

Humberto Silva III

Third Committee Member

Daniel Banuti


Sandia National Laboratories

Document Type