The goal of the present work is to solve a linear dispersive equation with variable coefficient advection on an unbounded domain. In this setting, transparent boundary conditions are vital allow waves leave (or even re-enter) the, necessarily finite, computational To obtain efficient numerical scheme we discretize space using spectral method. This allows us drastically reduce number grid points...

This report investigates a technique to calculate the distributions of discretization errors for a model of advection-diffusion-reaction with stochastic noise in problem data. The focus is on operator-split discretization methods. The error is decomposed into components due to the splitting and due to the discretization within each component. We present a method to estimate the distributions of...

An approach to integrate transport equations with fluxes being complex non-linear functions of physical parameters and their gradients, as it is predicted by theoretical models for micro-instabilities in plasma, is proposed. This approach operates without any splitting of the flux on diffusive and convective components normally involved in transport calculations. Introduction By considering tra...

In this paper, we propose a semi-Lagrangian finite difference formulation for approximating conservative form of advection equations with general variable coefficients. Compared with the traditional semi-Lagrangian finite difference schemes [4, 21], which approximate the advective form of the equation via direct characteristics tracing, the scheme proposed in this paper approximates the conserv...

Numerical simulation of compressible fluid flows is performed using the Euler equations. They include the scalar advection equation for the density, the vector advection equation for the velocity and a given pressure dependence on the density. An approximate solution of an initial–boundary value problem is calculated using the finite element approximation in space. The fully implicit two–level ...

We develop a theoretical tool to examine the properties of numerical schemes for advection equations. To magnify the defects of a scheme we consider a convection-reaction equation 0021-9 doi:10. q Th * Co E-m ut þ ðjujq=qÞx 1⁄4 u; u; x 2 R; t 2 Rþ; q > 1: It is shown that, if a numerical scheme for the advection part is performed with a splitting method, the intrinsic properties of the scheme a...

Simulation of incompressible flows with hundreds of rigid particles in three-dimensional domains require efficient iterative algorithms and parallel preconditioners. In addition to the difficulty associated with solving Navier-Stokes equations for incompressible fluids, one must simulate the motion of rigid bodies under the action of hydrodynamic forces and gravity. A distributed Lagrange multi...

An empirical study was made of the relationship of precipitation occurrence t o linearly interpolated concurrent vertical motion, 500-mb. initial 1-orticity, vorticity advection, and the average of the 700-mb. and 500-mb. dew point depressions a t Salt Lake City, Utah. All parameters except dew point depressions were obtained from the facsimile charts transmitted by the National Meteorological ...

The appropriate configuration of marine reserves for maximizing harvests or ensuring species persistence when there is uncertainty or variability in larval dispersal patterns is not completely understood. This is particularly true in environments with large alongshore advection rates, as the success of a system of marine reserves depends on connectivity through larval and/or adult dispersal bet...