Computational Fluid Dynamics and Aerodynamics

Computational fluid dynamics uses numerical methods to solve the equations governing how gases and liquids move, allowing engineers to simulate flows that are too fast, too small, or too complex to study experimentally at full scale. The work spans everything from capturing the violent pressure jumps of shock waves in supersonic and hypersonic regimes to modeling the chaotic, energy-dissipating eddies of turbulence, with finite volume methods and high-order schemes serving as the mathematical backbone for turning conservation laws into tractable computations. A persistent challenge is achieving both accuracy and efficiency simultaneously: fine-grained turbulence models like detached-eddy simulation resolve more physical detail but demand enormous computational resources, while adaptive mesh refinement tries to concentrate that cost only where the flow changes most sharply. Active frontiers include reliably simulating supersonic combustion for propulsion applications and developing schemes that remain stable and accurate when shock waves interact with turbulent boundary layers or flexible structures.

Works

113,381

Total citations

1,599,765

Keywords

High-Order SchemesTurbulence ModelingShock-Wave InteractionsAdaptive Mesh RefinementSupersonic CombustionFinite Volume Methods