SUMMARY OF CURRENT RESEARCH TOPICS
MULTIDISCIPLINARY INVERSE PROBLEMS & CONSTRAINED DESIGN OPTIMIZATION
- development of graphically interactive modular software packages for aero-thermo-structural-electro-magnetic multi-disciplinary analysis, inverse design, and constrained 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 combinations
- fast aerodynamic analysis and optimization of multi-stage axial flow turbomachinery at design and off-design
HEAT TRANSFER
- steady and unsteady heat conduction analysis in multi-domain three-dimensional configurations
- inverse design and optimization of two-and-three-dimensional 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
- optimization of time-variation of thermal boundary conditions during constrained unsteady freezing or thawing with latent heat release and temperature-dependent properties and specified maximum allowed thermal stresses
- non-destructive inverse determination of temperature-dependent thermal conductivity of solids
- non-destructive detection of voids and cracks inside solid objects with over-specified thermal boundary conditions numerical simulation and optimization of thermo-acoustic refrigeration systems
ELECTRO-MAGNETO-HYDRODYNAMICS & SOLIDIFICATION
- magneto-hydrodynamic flow modeling and computations involving solidification and melting
- electro-hydrodynamic flow modeling and computations involving 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 electro-magneto-hydrodynamics of fuel cells
ELASTICITY
- development of three-dimensional linear elasticity analysis codes based on boundary elements and finite elements
- 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 three-dimensional non-linear elasticity analysis and inverse boundary condition determination
- development of a fast three-dimensional elastodynamics (structural dynamics) analysis code
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 constrained genetic evolution and gradient search optimization algorithms
- generation of multi-block structured grids and tetrahedral/hexahedron unstructured grids for multiply connected three-dimensional domains
- building a low cost/high performance distributed memory parallel computers and corresponding software
