FINITE DIFFERENCE SCHEME FOR THE NUMERICAL SOLUTION OF FLUID FLOW AND HEAT TRANSFER PROBLEMS ON NONSTAGGERED GRIDS
- 1 January 1990
- journal article
- research article
- Published by Taylor & Francis in Numerical Heat Transfer, Part B: Fundamentals
- Vol. 17 (1) , 43-62
- https://doi.org/10.1080/10407799008961732
Abstract
A new finite difference method, which removes the need for staggered grids in fluid dynamic computations, is presented. Pressure checkerboarding is prevented through a differencing scheme that incorporates the influence of pressure on velocity gradients. The method is implemented in a SIMPLE-type algorithm, and applied to three test problems: one-dimensional flow through an actuator disk, plane stagnation flow, and free convection in a square cavity. Good agreement is obtained between the numerical solutions and the corresponding analytical or benchmark solutionsKeywords
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