Design principles for bounded higher-order convection schemes - a unified approach

http://www.mathcces.rwth-aachen.de/torrilhon/CadaTorrilhon_JCP2009.pdf

Compact third-order limiter functions for finite volume methods

The present paper illustrates the possibilities and limitations in applying advanced numerical codes for the description of the flow through labyrinth seals to evaluate the discharge coefficient. Comparison with data derived from detailed measurements in a newly developed test facility are reported. Pressure ratios and geometrical parameters are varied in wide ranges, reflecting engine conditions. The two-dimensional, elliptic finite difference code is applied to the compressible, turbulent flow in straight and stepped seals utilizing the standard k-e-model. Good agreement of the predictions with the measurements is achieved for pressure ratios up to 2.5.Copyright © 1987 by ASME

Numerical Predictions and Measurements of Discharge Coefficients in Labyrinth Seals

The computational efficiencies of two nodal integral methods for the numerical solution of linear convection-diffusion equations are studied. Although the first, which leads to a second-order spatial truncation error, has been reported earlier, it is reviewed in order to lead logically to the development here of the second, which has a third-order error. This third-order nodal integral method is developed by introducing an upwind approximation for the linear terms in the 'pseudo-sources' that appear in the transverse-averaged equations introduced in the formulation of nodal integral methods. This upwind approximation obviates the need to develop and solve additional equations for the transverse-averaged first moments of the unknown, as would have to be done in a more straightforwardly developed higher-order nodal integral method. The computational efficiencies of the second-order nodal method and the third-order nodal method - of which there are two versions: one, a full third-order method and the other, which uses simpler second-order equations near the boundaries - are compared with those of both a very traditional method and a recently developed state-of-the-art method. Based on the comparisons reported here for a challenging recirculating flow benchmark problem it appears that, among the five methods studied, the second-order nodal integral methodmore » has the highest computational efficiency (the lowest CPU computing times for the same accuracy requirements) in the practical 1% error regime.« less

Studies on Nodal Integral Methods for the Convection-Diffusion Equation

Transient numerical analysis was carried out for the replacement process of cold fluid with hot fluid in a thermal storage water tank with a two-dimensional two-equation turbulence model (k−e model). The QUICKEST (QUICK with estimated streaming terms) method was two-dimensionalb) extended to solve the energy equations. The effect of the difference schemes (the QUICKEST scheme and the upwind scheme) to solve the energy equations was discussed on the transient flow and temperature fields. Comparison with existing experimental results showed that the present numerical approach can fairly predict the characteristics of thermal stratification in a thermal storage water tank.

Numerical analysis of the transient turbulent flow field in a thermally stratified thermal storage water tank

The QUICK algorithm - A uniformly third-order finite-difference method for highly convective flows

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The QUICK algorithm - A uniformly third-order finite-difference method for highly convective flows