Assessment of Finite Difference Approximations for the Advection Terms in the Simulation of Practical Flow Problems
Abstract
An assessment of seven discretization schemes for the advection terms of the transport equation to reduce numerical diffusion in practical flow problems has been established. The schemes have been evaluated using three test cases for laminar flow problems. The test cases consist of the transport of a scalar step in a uniform velocity field, two interacting parallel streams, and a slot jet. The performance of the schemes is evaluated for advectiondominated flows in transient and steadystate solutions. The considered schemes include four that have not been evaluated before for practical flow problems. In general, schemes which produced less numerical diffusion suffered from more numerical dispersion or oscillations. Two bounding techniques considered in the study were effective in significantly elliminating numerical dispersion.
 Publication:

Journal of Computational Physics
 Pub Date:
 January 1988
 DOI:
 10.1016/00219991(88)900745
 Bibcode:
 1988JCoPh..74..143S
 Keywords:

 Advection;
 Approximation;
 Finite Difference Theory;
 Flow Equations;
 Jet Flow;
 Laminar Flow;
 Cartesian Coordinates;
 Continuity Equation;
 Flow Distribution;
 Flow Velocity;
 Fluid Flow;
 Incompressible Flow;
 Fluid Mechanics and Heat Transfer