1 - 10 of 10 Chapters
[This chapter contains an overview of the aims and scope of the book. It describes the need for an easy and efficient way of speeding up the convergence rates of the solution procedures for field problems. It is pointed out that a new view point is necessary in order to break down the stagnant...
[This chapter introduces mathematical preliminaries necessary for the discretization of the governing equations and certain techniques for the solution of the special types of resulting linear sub-systems.]
[In this chapter, the set of basic differential equations governing field problems is introduced. This is followed by a review of the special features of these equations and the difficulties involved in their solutions. Special emphasis is given to the crucial velocity-pressure coupling problem...
[This chapter is devoted to introduce, in full, the discretizationDiscretization process for the governing equations, utilizing some enhanced versions of the approximations derived in Chap. 2.]
[In this chapter, certain preparatory processes which are necessary prior to the actual solution process, are presented in detail. These include the discretization of the solution region and the node numbering convention, simultaneous application of various types of boundary conditions on the...
[In this chapter, the discretized forms of the mass and momentum conservation equations are assembled into a block-coupled system of linear equations. The numbering strategy and the structure of the resulting system are presented. Finally, the difficulties involved in the solution of the...
[This is the main chapter in which the fully implicit clock-coupled solution strategy is introduced. First a discussion on the advantages of the block system are presented, followed by a general incomplete decomposition process. Then, the technique is applied to the block-coupled system and the...
[In this chapter, the procedures presented in the previous chapters are applied on certain, well established benchmark problems. Convergence, stability and cost comparisons are provided in detail for problems of various sizes. Comparison of one of the selected procedures with a classical...
[This chapter presents brief discussions on the application of the presented procedures to cases which were not discussed in the previous chapters. The issues discussed include time dependent problems, turbulent flows and heat transfer. Adaptation to 3D problems is also explained in detail.]
[In this chapter, a few final comments on the presented procedures are provided together with some suggestions for further enhancements.]
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