Assessment of finite difference approximations for the advection terms in the simulation of practical flow problems
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 advection-dominated flows in transient and steady-state 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.
scientific article; zbMATH DE number 4041498