Abstract
A novel numerical procedure for heat, mass and momentum transfer in fluid flow is presented. The new scheme is passed on a non-upwind, interconnected, multi-grid, overlapping (NIMO) finite-difference algorithm. In 2D flows, the NIMO algorithm solves finite-difference equations for each dependent variable on four overlapping grids. The finite-difference equations are formulated using the control-volume approach, such that no interpolations are needed for computing the convective fluxes. For a particular dependent variable, four fields of values are produced. The NIMO numerical procedure is tested against the exact solution of two test problems. The first test problem is an oblique laminar 2D flow with a double step abrupt change in a passive scalar variable for infinite Peclet number. The second test problem is a rotating radial flow in an annular sector with a single step abrupt change in a passive scalar variable for infinite Peclet number. The NIMO scheme produced essentially the exact solution using different uniform and non-uniform square and rectangular grids for 45 and 30° angle of inclination. All other schemes were unable to capture the exact solution, especially for the rectangular and non-uniform grids. The NIMO scheme was also successful in predicting the exact solution for the rotating radial flow, using a uniform cylindrical-polar coordinate grid.
Original language | English |
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Pages (from-to) | 1669-1694 |
Number of pages | 26 |
Journal | International Journal for Numerical Methods in Fluids |
Volume | 57 |
Issue number | 11 |
DOIs | |
Publication status | Published - 20 Aug 2008 |
Externally published | Yes |
Keywords
- Fluid flow
- Higher-order scheme
- Interconnected
- Multi-grid
- Non-upwind
- Overlapping
ASJC Scopus subject areas
- Condensed Matter Physics
- Safety, Risk, Reliability and Quality
- Applied Mathematics
- Computational Theory and Mathematics
- Computer Science Applications
- Computational Mechanics
- Mechanics of Materials