Here are the abstracts from the Ph.D. theses by the following past members of the CRUNCH group:

• Paul Batcho (1994)
  "Global spectral methods for the solution of the incompressible Navier-Stokes equations in complex geometries: The generalized Stokes eigen-system"
  
  
• Ali Beskok (1996)
  "Simulations and models for gas flows in microgeometries"
  
  
• Catherine H. Crawford (1996)
  "Direct numerical simulation of near-wall turbulence: Passive and active control"
  
  
• Yiqing Du (2000)
  "Parallel DNS of electro-magnetic flow control"
  
  
• Constantinos Evangelinos (1999)
  "Parallel simulations of vortex-induced vibrations in turbulent flows: Linear and non-linear models"
  
  
• Jasmine Foo (2008)
  "Multi-element probabilistic collocation in high dimensions: Applications to systems biology and physical systems"
  
  
• Ioannis Giannakouros (1994)
  "Spectral element / flux corrected methods for unsteady compressible viscous fluids"
  
  
• Leopold Grinberg (2009)
  "Topics in Ultrascale Scientific Computing with Appliction in Biomedical Modeling"
  
  
• Ron D. Henderson (1994)
  "Unstructured spectral element methods: Parallel algorithms and simulations "
  
  
• Robert M Kirby II (2002)
  "Dynamic Spectral/hp Refinement: Algorithms and Applications to Flow-Structure Interactions"
  
  
• Guang Lin (2007)
  "Parallel High-Order Methods for Deterministic and Stochastic CFD and MHD Problems"
  
  
• Frank Liu (2000)
  "2d and 3d unstructured simulations and coupling techniques for micro-geometries and rarefied gas flow"
  
  
• Dong Liu (2004)
  "Spectral Element/Force Coupling Method: Application to Colloidal Micro- Devices and Self-Assembled Particle Structures in 3D Domains"
  
  
• Igor Lomtev (1999)
  "A discontinuous Galerkin method for the compressible Navier-Stokes equations in stationary and moving domains"
  
  
• Didier Lucor (2003)
  "Generalized Polynomial Chaos: Applications to Random Oscillators and Flow-Structure Interactions"
  
  
• Xian Luo (2009)
  "A Spectral Element/Smoothed Profile Method for Complex-geometry Flows "
  
  
• Xia Ma (2001)
  "Hierarchical Galerkin and non-linear Galerkin models for laminar and turbulent wakes"
  
  
• Haralambos Marmanis (2000)
  "Analogy between the electro-magnetic and hydrodynamic equations: Applications to turbulence"
  
  
• David J. Newman (1996)
  "A computational study of fluid / structure interactions: Flow induced vibrations of a flexible cable"
  
  
• Igor Pivkin (2006)
  "Algorithms for continuum and atomistic modeling of blood platelet phenomena"
  
  
• Spencer J. Sherwin (1995)
  "Triangular and tetrahedral spectral / h-p finite element methods for fluid dynamics"
  
  
• Sirod Sirisup (2005)
  "Issues in Low-Dimensional Modeling of Unsteady Flows: Convergence, Asymptotic Stability and Reconstruction Procedures"
  
  
• Vasileios Symeonidis (2006)
  "Numerical Methods for Multi-Scale Modeling of Non-Newtonian Flows"
  
  
• James Trujillo (1998)
  "Effective high-order vorticity-velocity formulation"
  
  
• Xiaoliang Wan (2006)
  "Adaptive Multi-Element Generalized Polynomial Chaos: Algorithms and Applications"
  
  
• Timothy C. E. Warburton (1999)
  "Spectral / h-p methods on polymorphic multi-domains: Algorithms and applications"
  
  
• Dongbin Xiu (2003)
  "Generalized (Wiener-Askey) polynomial chaos"
  
  
• Jin Xu (2005)
  "High Reynolds Number Simulation and Drag Reduction Techniques"