Division

Head: Li-Shi Luo

Division research focus: The research focus of the Division of Mechanics is computational mechanics in its broadest sense, which may involve solids, fluids, soft matter, and their interfaces, with a particular interest in multi-scale and multi-physics theories and methodologies across macro-, meso-, and micor-scales. Computational mechanics requires physical modeling, mathematical analysis, and numerical algorithms with a specific emphasis on using modern computer architectures to perform challenging large-scale scientific computations for systems of great significance in science and engineering.

Division Research Areas

· Bio-Mechanics

Locomotion of biological systems and bio-inspired robotics in fluids, on the ground, and in soft matter; multi-body dynamics.
· Interfacial Dynamics

Tracking and capturing numerical methods for interfacial dynamics; Rayleigh-Taylor, Kelvin-Helmholtz, and Richtmyer-Meshkov instabilities; problems dominated by various instabilities.
· Kinetic Methods

Numerical methods derived from kinetic equations, such as the lattice Boltzmann equation (LBE) and the gas-kinetic schemes for computational fluid dynamics; modeling and simulation of various complex fluids.
· Non-Equilibrium and Multi-scale, Multi-Physics Systems

Thermochemically non-equilibrium flows; micro-scale and molecular flows; multi-physics systems such as flow-structure interactions; multi-scale system coupling pore-scale to large-scale, multi-physics flow systems.
· Numerical Methods and Their Implementations

High-order methods; large time stepping schemes; meshing techniques and methods on arbitrary unstructured meshes; fast algorithms; implementations of algorithms on heterogeneous HPC platforms.