Research

MULTIDISCIPLINARY INVERSE PROBLEMS & CONSTRAINED DESIGN OPTIMIZATION

Development of graphically interactive modular software for fluid dynamics-thermal-structural-electric-magnetic-chemistry multi-disciplinary analysis, inverse design, and constrained multi-objective evolutionary design optimization in a distributed parallel computing environment

 

FLUID MECHANICS & AERODYNAMICS

Optimization of realistic three-dimensional flight vehicle configurations for minimized aerodynamic drag, maximum lift/drag ratio, and minimized aerodynamic surface heating

 

Computation of turbulent, three-dimensional, internal swirling flows

Inverse shape design and optimization in three-dimensional internal and external fluid dynamics

 

Inverse aerodynamic shape design and optimization methods for three-dimensional wing-body-tail combinations

 

HEAT TRANSFER

Optimization of time-variation of thermal boundary conditions during constrained unsteady freezing of human organs with specified maximum allowed thermal stresses

 

Inverse design and optimization of two-and-three-dimensional branching coolant flow passage shapes for cooling/heating of arbitrary shaped configurations with thermally-dependent properties

 

Inverse methods for determining variable convective heat transfer coefficients on inaccessible surfaces

 

Inverse determination of strengths and locations of heating sources inside arbitrarily shaped objects based on temperature and heat flux measurements on the boundaries

 

Prediction of two-dimensional and three-dimensional conjugate heat transfer in internally cooled configurations

 

Non-destructive inverse determination of temperature-dependent thermal conductivity of solids

 

Non-destructive detection of voids inside solid objects with over-specified thermal boundary conditions

 

ELECTRO-MAGNETO-HYDRODYNAMICS & SOLIDIFICATION

Magneto-hydrodynamic flow modeling and computations involving optimized solidification and melting

 

Electro-hydrodynamic flow modeling and computations involving optimized solidification of dielectric fluids

 

Development of a combined electro-magneto-hydrodynamic theory and simulation software for unsteady fluid flows including solidification subjected to interacting electric and magnetic fields and electrically charged particles

 

Development of analytical models and simulation software for multiphase electro-magneto-hydrodynamics

 

ELASTICITY/VISCOPLASTICITY

Multi-disciplinary design optimization of penetration projectiles using FEM and smooth particle hydrodynamics

 

Development of thermo-elasticity analysis codes based on boundary elements and finite elements

 

Inverse determination of elastostatic tractions and deformations on inaccessible surfaces

 

Development of a fast three-dimensional elastodynamics (structural dynamics) analysis code

 

MATERIALS SCIENCE AND PROCESSING

Multi-objective optimization of concentrations of alloying elements in superalloys and metallic glasses

 

Development of optimized control algorithms for using electric, magnetic and thermal fields in solidification

 

Development of a method for achieving desired orientations and concentrations of micro-particles in composites

 

NUMERICAL ANALYSIS

Development of methods for acceleration of iterative algorithms for large systems of nonlinear partial differential equations on highly clustered non-orthogonal computational grids using Krylov subspaces

 

Development of hybrid multi-objective constrained evolutionary optimization algorithms

 

Multi-dimensional radial basis functions and wavelet based neural networks for fast response surface generation

 

Developing a concept for using artificial dissipation to achieve fine-grid results from a coarse-grid computation

 

Multidisciplinary Analysis, Inverse Design,

Robust Optimization and Control Laboratory