We perform a systematic multiscale analysis for the 2-D incompressible Euler equation with rapidly oscillating initial data using a Lagrangian approach. The Lagrangian formulation enables us to capture the propagation of the multiscale solution in a natural way. By making an appropriate multiscale expansion in the vorticity-stream function formulation, we derive a well-posed homogenized equatio...

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...

A new approach to the description of stationary plane waves in ideal density stratified incompressible fluid is considered without the application of Boussinesq approximation. The approach is based on the equation derived by Dubreil-Jacotin [4, 5, 6] and Long [7] with the additional assumption that the mean vorticity of the flow is zero. It is shown that in the linear approximation the spectrum...

A parallel element-by-element ,nultilevel strategy is developed and applied to two nonlinear, coupled PDE system.•. Spectral (p) finite elements are used to discretize the lems and the multilevel solution strategy uses projections between bases of different degree (level). The projection methods for the p-multilevel schemes are developed and analyzed for Lagrange and hierarchic bases. The appro...

The drive mode of fluid body in microchannel is a key in microfluidic control system. ElectroOsmotic MicroPump (EOP) is a microfluidic system which is controlled by electric field with no moving parts. EOPs are attracting increasing attention due to the ease of fluid control in complex microchannels. The theory of forming Electro-Osmotic-Flow (EOF) is analyzed and governing equations are given ...

The semi-Lagrangian atmospheric model on the sphere is presented. In the 2D case, the potential vorticity is used as one of the prognostic variables. The wind eld is expressed in terms of a stream function and velocity potential. Fourth-order compact nite diierences are used to discretize rst-and second-order derivatives. The results including real data tests presented for 2D shallow water vers...

This paper presents the two dimensional numerical modeling of the coupling electromagnetic-hydrodynamic phenomena in a conduction MHD pump using the Finite volume Method. Magnetohydrodynamic problems are, thus, interdisciplinary and coupled, since the effect of the velocity field appears in the magnetic transport equations, and the interaction between the electric current and the magnetic field...

We develop free-derivative preconditioned residual methods for solving nonlinear steady fluid flows. The new scheme is based on a variable implicit preconditioning technique associated to the globalized spectral residual method. It is adapted for computing in a numerical way the steady state of the bi-dimensional and incompressible Navier-Stokes equations (NSE). We use finite differences for th...

This communication investigates the unsteady flow of viscous incompressible fluid through porous medium induced by periodically heated half filled concentric cylindrical annulus placed horizontally. The boundaries of the annulus are rotating periodically with different angular velocities in the same or opposite directions about their common axis. The governing equations are expressed in terms o...

Vorticity-stream function method and MAC algorithm are adopted to systemically compare the finite volume method (FVM) and finite difference method (FDM) in this paper. Two typical problems—lid-driven flow and natural convection flow in a square cavity—are taken as examples to compare and analyze the calculation performances of FVM and FDMwith variant mesh densities, discrete forms, and treatmen...