Research

OPTIMIZATION AND MODELING TECHNIQUES

Development of single/multi-objective optimization algorithms/software based on both classical and evolutionary concepts.
Development of single/multi-objective optimization algorithms/software based on both classical and evolutionary concepts.
Development of Hybrid Optimization software which orchestrates the application of several algorithms to optimization problems with greater accuracy and time efficiency.
Development of Response Surface methodologies (using wavelet based neural networks/radial basis functions) that provide time-saving low fidelity models for complex system simulations or experimental data directed towards design optimization.

MULTIDISCIPLINARY DESIGN OPTIMIZATION AND INVERSE DESIGN

Development of graphically interactive modular software for fluid dynamics-thermal-structural-electric-magnetic-materials multi-disciplinary analysis.

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 ALGORITHMS

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

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