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Journal ArticleDOI

A study of finite difference approximations to steady-state, convection-dominated flow problems

Wei Shyy
- 01 Feb 1985 - 
- Vol. 57, Iss: 3, pp 415-438
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TLDR
In this article, five different finite difference schemes, first-order upwind, skew-upwind, secondorder up-wind and second-order central differencing, have been studied for high cell Peclet number flows.
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This article is published in Journal of Computational Physics.The article was published on 1985-02-01. It has received 209 citations till now. The article focuses on the topics: Upwind scheme & Upwind differencing scheme for convection.

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Citations
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Curvature‐compensated convective transport: SMART, A new boundedness‐ preserving transport algorithm

TL;DR: A polynomial-based discretization scheme is constructed around a technique called ‘curvature compensation’; the resultant curvature-compensated convective transport approximation is essentially third-order accurate in regions of the solution domain where the concept of order is meaningful.
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Shallow and deep dynamic stall for flapping low Reynolds number airfoils

TL;DR: In this article, a combined experimental (based on flow visualization, direct force measurement and phaseaveraged 2D particle image velocimetry in a water tunnel), computational (2D Reynolds-averaged Navier-Stokes) and theoretical (Theodorsen's formula) approach was used to study the fluid physics of rigid-airfoil pitch-plunge in nominally two-dimensional conditions.
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Numerical Recirculating Flow Calculation Using a Body-Fitted Coordinate System

TL;DR: In this article, a finite-difference algorithm for recirculating flow problem in a body-fitted coordinate system is presented, where a fully staggered grid system is adopted for the velocity components and the scalar variables.
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Convection, dispersion, and interfacial transport of contaminants: Homogeneous porous media

TL;DR: In this article, a macroscopic model for homogeneous porous media using the method of local volume averaging is developed for describing the transport of a contaminant in an aquifer containing a trapped non-aqueous-phase liquid.
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Normalized variable and space formulation methodology for high-resolution schemes

TL;DR: In this paper, a new normalized variable and space formulation (NVSF) methodology is developed to derive connective schemes for uniformly or nearly uniformly discretized spaces, where spatial parameters are introduced so as to extend the applicability of the NVF methodology to nonuniformly discretised domains.
References
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A stable and accurate convective modelling procedure based on quadratic upstream interpolation

TL;DR: In this paper, a convective modeling procedure is presented which avoids the stability problems of central differencing while remaining free of the inaccuracies of numerical diffusion associated with upstream differencings.

Difference methods for initial-value problems

TL;DR: In this article, differentielles and stabilite were used for differentiable transport in the context of transfert de chaleur and ondes Reference Record created on 2005-11-18, modified on 2016-08-08
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Analytical and numerical studies of the structure of steady separated flows

TL;DR: In this paper, an analytical solution, based on a linearized model, is obtained for an eddy bounded by a circular streamline, which reveals the flow development from a completely viscous eddy at low Reynolds number to an inviscid rotational core at high Reynolds number, in the manner envisaged by Batchelor.