An approximate method for the eecient calculation of stagnation streamline quantities in hypersonic ows about spheres or cylinders is suggested. Based on the local similarity of the ow eld the two-dimensional Navier-Stokes equations are simpliied to a one-dimensional approximation for the stagnation streamline. The dimensionally reduced equations are solved with an implicit nite-volume scheme. ...

A method of fundamental solutions has been used to study adiabatic transition amplitudes in two energy level systems for a class of Hamiltonians allowing some simplifications of Stokes graphs corresponding to such transitions. It has been shown that for simplest such cases the amplitudes take the Nikitin Umanskii form but for more complicated ones they are formed by a sum of terms strictly rela...

At very low Reynolds number, the regime in which fluid dynamics is governed by Stokes equations, a helix that translates along its axis under an external force but without an external torque will necessarily rotate. By the linearity of the Stokes equations, the same helix that is caused to rotate due to an external torque will necessarily translate. This is the physics that underlies the mechan...

A numerical study is made of laminar, unsteady flow behind a rotationally oscillating circular cylinder using a recently developed higher order compact (HOC) scheme. The stream function vorticity formulation of Navier-Stokes (N-S) equations in cylindrical polar coordinates are considered as the governing equations. The temporal behaviour of vortex formation and relevant streamline patterns of t...

Geophysical Fluid Dynamics (GFD) came of age in the 1950s and 1960s, with the mathematically inspired work of Charney, Lorenz, Stommel, Veronis and von Neumann, among others. In the last twenty years or so, mathematical, statistical and numerical developments for the Navier-Stokes equations and basic geophysical fluid dynamics models are stimulating a deepening and broadening of its central con...

We formulate, analyse and numerically simulate what are arguably the two simplest Stokes-flow free boundary problems relevant to tissue growth, extending classical Stokes problem by incorporating (i) a volumetric source (the nutrient-rich case) (ii) sink, surface compression nutrient-poor case). Both two- three-dimensional cases considered. A number of phenomena identified characterised thereby...

An optimum airfoil design for future Mars airplane for Mars exploration is obtained by evolutionary computation coupled with a two-dimensional Reynolds-averaged Navier-Stokes solver. The optimized airfoil design is also compared with other airfoil designs optimized at different Reynolds number or at different Mach number to discuss Reynolds number and Mach number effects on airfoil design. Thes...

A general fundamental relation connecting the correlation of Stokes and anti-Stokes modes to the quantum statistical behavior of vibration and pump modes in Raman-active materials is derived. We show that under certain conditions this relation can be used to determine the equilibrium number variance of phonons. Time and temperature ranges for which such conditions can be satisfied are studied a...

It is proposed that the inertial range clustering of small heavy particles in fluid turbulence occurs as a result of the sweep-stick mechanism which causes inertial particles to cluster so as to mimic the clusters of points where the fluid acceleration is perpendicular to the direction of highest contraction between neighboring particles. Direct numerical simulations of inertial particles subje...

The purpose of this paper is to present asymptotically stable open boundary conditions for the numerical approximation of the compressible Navier-Stokes equations in three spatial dimensions. The treatment uses the conservation form of the Navier-Stokes equations and utilizes linearization and localization at the boundaries based on these variables. The proposed boundary conditions are applied ...