Solution-adaptive Cartesian cell approach for viscous and inviscid flows

Stability of Rotating Viscous and Inviscid flows

Flow instability and turbulent transition can be well explained using a new proposed theory--Energy gradient theory [1]. In this theory, the stability of a flow depends on the relative magnitude of energy gradient in streamwise direction and that in transverse direction, if there is no work input. In this note, it is shown based on the energy gradient theory that inviscid nonuniform flow is uns...

Adaptive Zonal Recognition for Viscous / Inviscid Coupling

Generalized Circle and Sphere Theorems for Inviscid and Viscous Flows

The circle and sphere theorems in classical hydrodynamics are generalized to a composite double body. The double body is composed of two overlapping circles/spheres of arbitrary radii intersecting at a vertex angle π/n, n an integer. The Kelvin transformation is used successively to obtain closed form expressions for several flow problems. The problems considered here include two-dimensional an...

Inviscid and Viscous Interactions in Subsonic Corner Flows

A flap can be used as a high-lift device, in which a downward deflection results in a gain in lift at a given geometric angle of attack. To characterize the aerodynamic performance of a deflected surface in compressible flows, the present study examines a naturally developed turbulent boundary layer past the convex and concave corners. This investigation involves the analysis of mean and fluctu...

A Multi-solver Scheme for Viscous Flows Using Adaptive Cartesian Grids and Meshless Grid Communication

This work concerns the development of an adaptive multi-solver approach for CFD simulation of viscous flows. Curvilinear grids are used near solid bodies to capture boundary layers, and stuctured adaptive Cartesian grids are used away from the body to fill the majority of the computational domain. An edge-based meshless scheme is used in the interface region to connnect the near-body and off-bo...