Description
Computational grids are essential for solving complex scientific and engineering problems. They provide a way to discretize the computational domain into smaller elements, which can then be used to solve the governing equations of the problem. Grids can be generated in a variety of ways, and the choice of grid generation method depends on the specific problem being solved.
Adaptive grid refinement is a technique that can be used to improve the accuracy of grid-based solutions. Adaptive grid refinement algorithms refine the grid in regions where the solution is changing rapidly, and they coarsen the grid in regions where the solution is changing more slowly. This can lead to significant improvements in accuracy, especially for problems with complex geometries or moving boundaries.
Grid redistribution is another technique that can be used to improve the performance of grid-based solutions. Grid redistribution algorithms can be used to balance the load across different processors, and they can also be used to improve the quality of the grid. Grid redistribution can be particularly important for problems that are being solved on parallel computers.
Grid hierarchies are a powerful tool for solving problems with multiple scales. Grid hierarchies can be used to create a series of grids, each with a different resolution. The coarsest grid can be used to get a quick overview of the solution, while the finest grid can be used to obtain a more detailed solution. Grid hierarchies can be used to solve a wide variety of problems, including problems with complex geometries or moving boundaries.
Solution strategies for grid-based problems can be divided into two main categories: direct methods and iterative methods. Direct methods solve the system of equations that results from the discretization of the governing equations in one step. Iterative methods solve the system of equations by repeatedly updating the solution until it converges to the correct solution. The choice of solution strategy depends on the specific problem being solved.
**Computational Grid Wizardry: Strategies and Solutions** is an essential resource for anyone who wants to learn more about computational grids. The book provides a comprehensive overview of the theory and practice of computational grids, and it includes numerous examples and exercises to help readers understand the material.
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Language : English
Dimensions : 6 x 9 inches
Pages : 177 pages
Pasquale De Marco stands as a prolific author whose literary prowess knows no bounds. With a passion for storytelling that transcends genres, he has made a name for himself as a versatile writer with the extraordinary ability to captivate readers across diverse literary landscapes. His journey as an author is marked by an insatiable curiosity, a love for the written word, and a relentless commitment to sharing knowledge and experiences with the world.
Pasquale De Marco collaborates with a dedicated team of ghostreaders who assist him in evaluating and editing the manuscripts. His collaborators are not only skilled professionals but also avid readers who purchase and read books as a personal hobby. This unique blend of creativity allows Pasquale to push the boundaries of traditional publishing, making literature more accessible and diverse.
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