Book contents
- Frontmatter
- Contents
- Preface
- PART ONE PRELIMINARIES
- PART TWO FINITE DIFFERENCE METHODS
- PART THREE FINITE ELEMENT METHODS
- PART FOUR FOUR. AUTOMATIC GRID GENERATION, ADAPTIVE METHODS, AND COMPUTING TECHNIQUES
- 17 Structured Grid Generation
- 18 Unstructured Grid Generation
- 19 Adaptive Methods
- 20 Computing Techniques
- PART FIVE APPLICATIONS
- APPENDIXES
- Index
20 - Computing Techniques
Published online by Cambridge University Press: 15 January 2010
- Frontmatter
- Contents
- Preface
- PART ONE PRELIMINARIES
- PART TWO FINITE DIFFERENCE METHODS
- PART THREE FINITE ELEMENT METHODS
- PART FOUR FOUR. AUTOMATIC GRID GENERATION, ADAPTIVE METHODS, AND COMPUTING TECHNIQUES
- 17 Structured Grid Generation
- 18 Unstructured Grid Generation
- 19 Adaptive Methods
- 20 Computing Techniques
- PART FIVE APPLICATIONS
- APPENDIXES
- Index
Summary
In Part Two and Part Three, various numerical schemes in CFD including FDM, FEM, and FVM have been discussed. We have presented methods of grid generation and adaptive meshing in both structured and unstructured grids in Part Four. Equation solvers for both linear and nonlinear algebraic equations resulting from FDM, FEM, and FVM have also been discussed in appropriate chapters. We are now at the stage of embarking on extensive CFD calculations in large-scale industrial problems, which will be presented in Part Five. To this end, it is informative to examine computational aspects associated with supercomputer applications and multi-processors. Among them are the domain decomposition methods (DDM), multigrid methods (MGM), and parallel processing. In DDM the domain of study is partitioned into substructures to make solvers perform more efficiently with reduction of storage requirements, whereas in MGM the solution convergence is accelerated with low-frequency errors being removed through coarse mesh configurations and with high-frequency errors removed through fine mesh configurations. These two methods lend themselves to parallel processing to speed up and reduce computer time. Development of parallel programs and both static and dynamic load balancing will be presented. The topics in this chapter are designed toward more robust computational strategies in dealing with geometrically complicated, large-scale CFD problems. Some selected example problems are also included.
DOMAIN DECOMPOSITION METHODS
In dealing with geometrically large, complicated systems, it is natural to seek an approach to split the domain into small pieces, known as domain decomposition methods (DDM). This is one of many possible applications to parallel processing to be discussed in Section 20.3.
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- Information
- Computational Fluid Dynamics , pp. 644 - 676Publisher: Cambridge University PressPrint publication year: 2002