Abstract:
The split follows the process initially introduced by Chorin for incompressible flow problems in the finite difference context. Similar extensions of the split to finite element formulation for different applications of incompressible flows have carried out by many authors. The same split have also done by the author of this paper using multi-grid methods to incompressible flows. The characteristics-Based Split (CBS) Algorithm has first introduced by Zienkiewicz and Codina to solve the fluid dynamics equations of both compressible and incompressible forms. This new form is applicable to fully compressible flows in both explicit and semi-implicit forms. The split (CBS) provides a fully explicit algorithm even in the incompressible case for steady-state problems now using an "artificial" compressibility, which does not affect the steady-state solution. In the case of real compressibility such as in gas flows, the computational advantages of the explicit form compare well with other currently used schemes and the additional cost due to splitting the operator is insignificant. Generally for an ideal case, results are considerably improved throughout a large range of aerodynamic problems. However, a further advantage is that both subsonic and supersonic problems can be solved by the same code. Similar, the case in Multi-Grid code developed in can cope with large range of aerodynamic / hydrodynamic and subsonic / supersonic problems can be solved by the same code. This gives a true comparison between the two strategies.
Page(s):
131-142
DOI:
DOI not available
Published:
Journal: Proceedings 5th International Bhurban Conference on Applied Sciences and Technology , Volume: 0, Issue: 0, Year: 2007