Viscous and inviscid strato-rotational instability

The angular momentum transport by the strato-rotational instability in simulated Taylor-Couette flows

Aims. To investigate the stability and angular momentum transport by the strato-rotational instability in the nonlinear regime. Methods. The hydrodynamic compressible equations are solved in a cartesian box in which the outer cylinder is embedded. Gravity along the rotation axis leads to density stratification. No-slip boundary conditions are used in the radial direction, while free-slip condit...

The refined inviscid stability condition and cellular instability of viscous shock waves

Combining work of Serre and Zumbrun, Benzoni-Gavage, Serre, and Zumbrun, and Texier and Zumbrun, we propose as a mechanism for the onset of cellular instability of viscous shock and detonation waves in a finite-cross-section duct the violation of the refined planar stability condition of Zumbrun–Serre, a viscous correction of the inviscid planar stability condition of Majda. More precisely, we ...

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...

Nonclassical multidimensional viscous and inviscid shocks

Extending our earlier work on Lax-type shocks of systems of conservation laws, we establish existence and stability of curved multidimensional shock fronts in the vanishing viscosity limit for general Laxor undercompressive-type shock waves of nonconservative hyperbolic systems with parabolic regularization. The hyperbolic equations may be of variable multiplicity and the parabolic regularizati...

Adaptive Zonal Recognition for Viscous / Inviscid Coupling