Research

Computational methods for complex transport phenomena

LCTP advances classical, data-driven, tensor-network, and quantum approaches for understanding turbulent flows and energy systems.

Areas of investigation

Research Areas

Our work connects physical understanding with numerical methods and scalable computing for demanding problems in transport phenomena.

Computational mesh for turbulent combustion

Research area 01

CFD for Turbulent Combustion

Developing accurate computational models of turbulent reacting flows for energy systems, engines, gas turbines, propulsion systems, and industrial burners.

Scalar-field visualization used in machine learning research

Research area 02

Machine Learning in Transport Phenomena

Investigating machine-learning approaches for the study and computational modeling of transport phenomena.

Balanced domain decomposition for high-performance computing

Research area 03

High-Performance Computing

Optimizing and parallelizing simulation codes with access to the Pittsburgh Supercomputing Center to address complex engineering problems.

Tensor-network representations of turbulence structures

Research area 04

Tensor Networks for Turbulence Structures

Using compact tensor-network representations to study turbulent structures and computational fluid-dynamics problems.

Quantum circuit and PDE solution comparison

Research area 05

Solving PDEs on Quantum Computers

Developing quantum and quantum-ready computational methods for partial differential equations arising in transport phenomena.