High-resolution shock-capturing schemes for inviscid and viscous hypersonic flows

High- Resolution Shock-Capturing Schemes for Inviscid and Viscous Hypersonic 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...

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...

Numerical dissipation control in high order shock-capturing schemes for LES of low speed flows

Article history: Received 16 December 2014 Received in revised form 8 October 2015 Accepted 16 November 2015 Available online 1 December 2015

Flux-gradient and Source Term Balancing for Certain High Resolution Shock-capturing Schemes

We present an extension of Marquina’s flux formula, as introduced in [8], for the shallow water system. We show that the use of two different Jacobians at cell interfaces prevents the scheme from satisfying the exact C-property [2] while the approximate C-property is satisfied for higher order versions of the scheme. The use of a single Jacobian in Marquina’s flux splitting formula leads to a n...