Local Interaction Theory for Laminar Transonic Flows in Slender Channels

Adaptation of Structured Grid for Supersonic and Transonic Flows

Two distinct redistribution grids - adaptation techniques, spring analogy and elliptic grid generator are applied to two-dimensional steady, inviscid, shocked flows, and the ability of each technique is examined and compared. Euler equations are solved base on Roe's Reimann solver approach to simulate supersonic flow around a sphere, transonic flow about an airfoil and supersonic flow in a symm...

Application of viscous-inviscid interaction methods to transonic turbulent flows

Triple-deck analysis of transonic high Reynolds number flow through slender channels.

In this work, laminar transonic weakly three-dimensional flows at high Reynolds numbers in slender channels, as found in microsupersonic nozzles and turbomachines of micro-electro-mechanical systems, are considered. The channel height is taken so small that the viscous wall layers forming at the channel walls start to interact strongly rather than weakly with the inviscid core flow and, therefo...

Computing Flows Around Microorganisms: Slender-Body Theory and Beyond

We present the mathematical framework that governs the interaction of a forcegenerating microorganism with a surrounding viscous fluid. We review slender-body theories that have been used to study flagellar motility, along with the method of regularized Stokeslets. We investigate the role of a dinoflagellate transverse flagellum as well as the flow structures near a choanoflagellate.

Boundary Layer Adaptivity for Transonic Turbulent Flows

Simulations of turbulent flows are challenging and require tight and varying mesh spacings near the walls that depend on the turbulence models used. Semi-structured meshes are often used in the turbulent wall boundary layers due to their ability to be strongly graded and anisotropic. To reduce the discretization errors in the solution, an adaptive approach becomes essential due to the lack of g...