ON THE USE OF SOME WEIGHTED UPWIND SCHEMES FOR STRONGLY CONVECTIVE FLOWS
- 1 July 1990
- journal article
- research article
- Published by Taylor & Francis in Numerical Heat Transfer, Part B: Fundamentals
- Vol. 18 (1) , 43-60
- https://doi.org/10.1080/10407799008944941
Abstract
Several upwind schemes for the discretization of first-order derivatives appearing in the governing equations describing fluid flow are derived to avoid formation of wiggles. This is achieved by a generalization of concepts introduced by Leonard, resulting in schemes that depend on the fluid flow characteristics, through the cell Reynolds number. After the presentation of such schemes, the most efficient one, combining the best observed features, is used to simulate several test problems, in most cases with superior results. However, in presence of steep gradients inside the region, under- or overshoot may be produced, similar to other available schemes. The implementation of the proposed scheme in existing codes is very easy and the generalizations for three-dimensional situations pose no additional difficulties.Keywords
This publication has 16 references indexed in Scilit:
- CONDIF: A modified central‐difference scheme for convective flowsInternational Journal for Numerical Methods in Engineering, 1987
- Discretization of nonlinear convection processes: A broad-range comparison of four schemesComputer Methods in Applied Mechanics and Engineering, 1985
- The calculation of some laminar flows using various discretisation schemesComputer Methods in Applied Mechanics and Engineering, 1982
- A comparison of hybrid and quadratic-upstream differencing in high Reynolds number elliptic flowsComputer Methods in Applied Mechanics and Engineering, 1981
- A CALCULATION PROCEDURE FOR TWO-DIMENSIONAL ELLIPTIC SITUATIONSNumerical Heat Transfer, 1981
- A stable and accurate convective modelling procedure based on quadratic upstream interpolationComputer Methods in Applied Mechanics and Engineering, 1979
- Skew upstream differencing schemes for problems involving fluid flowComputer Methods in Applied Mechanics and Engineering, 1976
- Upstream-weighted differencing schemes and their application to elliptic problems involving fluid flowComputers & Fluids, 1974
- A novel finite difference formulation for differential expressions involving both first and second derivativesInternational Journal for Numerical Methods in Engineering, 1972
- RELAXATION METHODS APPLIED TO DETERMINE THE MOTION, IN TWO DIMENSIONS, OF A VISCOUS FLUID PAST A FIXED CYLINDERThe Quarterly Journal of Mechanics and Applied Mathematics, 1955