Research partially supported by the NSF and AFOSR. Work supported in part by NSF and NATO. Work supported by DOE , under contract W-7405-ENG-36. Research partially supported by NSF and AFOSR.

In planetary atmospheres in Jupiter or Saturn, for example, strong zonal jets have been observed. The existence of the zonal jet flow has been considered as one of the robust properties of planetary atmospheres. The two-dimensional incompressible Navier-Stokes flow on a rotating sphere is considered to be one of the simplest and most fundamental models of the atmospheric motions taking into acc...

We consider the use of preconditioning methods to accelerate the convergence to a steady state for both the incompressible and compressible uid dynamic equations. Most of the analysis relies on the inviscid equations though some applications for viscous ow are considered. The preconditioning can consist of either a matrix or a di erential operator acting on the time derivatives. Hence, in the s...

The three-dimensional interfacial waves due to a fundamental singularity steadily moving in a system of two semi-infinite immiscible fluids of different densities are investigated analytically. The two fluids are assumed to be incompressible and homogenous. There are three systems to be considered: one with two inviscid fluids, one with an upper viscous and a lower inviscid fluid, and one with ...

Many problems in fluid dynamics have domains with complicated int.ernal or external boundaries of the flow. Here we present a method for calculating time-dependent incompressible inviscid flow using a "Cartesian grid" approach for representing geometry. In this approach, the body is represented as an interface embedded in a regular Cartesian mesh. The basic algorithm is a fractional-step projec...

This article presents the exact solutions of the velocity and temperature fields for a steady fully developed magnetohydrodynamic flow of a viscous incompressible and electrically conducting fluid between two horizontal concentric cylinders. Our study focuses on the influence of the Hartmann number, Brinkman number, Péclet number and inner radius on the fluid temperature field, entropy generati...

We discuss in this report the numerical procedures which can be used to obtain the optimal grid when solving by a finite element method a model boundary value problem of elliptic type modelling the potential flow of an incompressible inviscid fluid. Results of numerical experiments are presented. * Funds for the support of this study have been allocated by the NASA-Ames Research Center, Moffet ...

When modeling water waves, one often assume that water is incompressible and inviscid and the flow is irrotational. The evolution of nonlinear water waves is governed by the Euler equations. There are two important parameters associated with long waves. One is the ratio of amplitude to depth, represented by a, and the other one is the ratio of depth to wavelength, represented by e. Under the as...