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Experiments With An Adapative Multigrid Shallow Water Tropical Cyclone Model
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Book Synopsis Experiments With an Adapative Multigrid Shallow-Water Tropical Cyclone Model by :
Download or read book Experiments With an Adapative Multigrid Shallow-Water Tropical Cyclone Model written by and published by . This book was released on 2000 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Accurate modeling of tropical cyclone motion and in. tensity change requires resolving the flow both within and around the storm. Since the spatial scales in these two regions differ substantially, uniform resolution is inherently inefficient: the grid should be refined only near the storm. This idea motivates conventional nested-grid methods such as used in VlCBAR (DeMaria et al., 1992) and the GFDL model (Kurihara et al., 1998). Adaptive multigrid methods also achieve nonuniform resolution by superimposing uni- form grids of different mesh sizes, but they combine this idea with multigrid processing (Brandt, 1977) to achieve optimum solution speed and provide accurate truncation error estimates. The latter can be used in an adaptive mesh refinement scheme to provide just the resolution needed at each point. The MUDBAR model of Fulton (2000) demonstrates the potential of adaptive multigrid methods in the context of a nondivergent barotropic model. We now consider the extension of these techniques to the next level of dynamical complexity, i.e., the shallow-water equations.
Book Synopsis Experiments With a Self-Adaptive Multigrid Barotropic Tropical Cyclone Track Model by :
Download or read book Experiments With a Self-Adaptive Multigrid Barotropic Tropical Cyclone Track Model written by and published by . This book was released on 1999 with total page 2 pages. Available in PDF, EPUB and Kindle. Book excerpt: Accurate prediction of hurricane tracks may require resolving the flow both within and around the storm. Since the spatial scales in these two regions differ substantially, uniform resolution is inherently inefficient: the grid should be refined only near the storm. This paper describes the performance of a barotropic model with an adaptive multi-grid scheme which automatically refines the mesh around the storm as it moves. The model is formulatedl on a section of the sphere using a Mercator projection. The model consists of a modified barotropic vorticity equation.
Book Synopsis Adaptive Multigrid Solution of the Shallow Water Equations by : Brittany L. Mitchell
Download or read book Adaptive Multigrid Solution of the Shallow Water Equations written by Brittany L. Mitchell and published by . This book was released on 1999 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis 24th Conference on Hurricanes and Tropical Meteorology by :
Download or read book 24th Conference on Hurricanes and Tropical Meteorology written by and published by . This book was released on 2000 with total page 880 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis An Adaptive Multigrid Barotropic Tropical Cyclone Track Model by :
Download or read book An Adaptive Multigrid Barotropic Tropical Cyclone Track Model written by and published by . This book was released on 1999 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper describes the application of adaptive multigrid techniques to the problem of tropical cyclone track prediction. Based on the nondivergent barotropic vorticity equation, the model uses an adaptive multigrid method to refine the mesh around the moving vortex. Like conventional nested-grid models, this model achieves nonuniform resolution by superimposing uniform grids of different mesh sizes. Unlike nested-grid models, multigrid processing uses the interplay between solutions on fine and coarse grids-in regions where they overlap-to: (1) solve the implicit problem for the stream- function with optimum efficiency, (2) automatically achieve two-way interaction at the grid interfaces, and (3) provide accurate truncation error estimates for use in determining where to refine or coarsen the grids. An exchange rate algorithm accomplishes the latter task, approximately optimizing the grid selection based on a user-specified tradeoff between accuracy and computational work. Numerical results demonstrate that the model chooses reasonable grids with minimal user intervention. Using adaptive mesh refinement is at least an order of magnitude more efficient than using a single uniform grid, and the overhead cost of adaptive regridding is less than two percent of the total execution time. The adaptive multigrid approach allows track prediction errors due to discretization to be essentially eliminated from the problem at a reasonable computational cost.
Book Synopsis Comparison of Discretization Accuracy in an Adaptive Multigrid Barotropic Tropical Cyclone Track Model by :
Download or read book Comparison of Discretization Accuracy in an Adaptive Multigrid Barotropic Tropical Cyclone Track Model written by and published by . This book was released on 2000 with total page 2 pages. Available in PDF, EPUB and Kindle. Book excerpt: Among the many sources of error in modeling tropical cyclones is discretization error: how well are the governing equations approximated numerically? While discretization error is typically small, numerical methods with smaller errors should be preferred over others, all else being equal. This paper addresses the tradeoff between higher-accuracy discretization and increased computational work in an adaptive multigrid tropical cyclone track model.
Download or read book Monthly Weather Review written by and published by . This book was released on 1987 with total page 1452 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Adaptive Grids in Weather and Climate Modeling by : Christiane Jablonowski
Download or read book Adaptive Grids in Weather and Climate Modeling written by Christiane Jablonowski and published by . This book was released on 2004 with total page 572 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis An Introduction to Element-Based Galerkin Methods on Tensor-Product Bases by : Francis X. Giraldo
Download or read book An Introduction to Element-Based Galerkin Methods on Tensor-Product Bases written by Francis X. Giraldo and published by Springer Nature. This book was released on 2020-10-30 with total page 559 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the reader to solving partial differential equations (PDEs) numerically using element-based Galerkin methods. Although it draws on a solid theoretical foundation (e.g. the theory of interpolation, numerical integration, and function spaces), the book’s main focus is on how to build the method, what the resulting matrices look like, and how to write algorithms for coding Galerkin methods. In addition, the spotlight is on tensor-product bases, which means that only line elements (in one dimension), quadrilateral elements (in two dimensions), and cubes (in three dimensions) are considered. The types of Galerkin methods covered are: continuous Galerkin methods (i.e., finite/spectral elements), discontinuous Galerkin methods, and hybridized discontinuous Galerkin methods using both nodal and modal basis functions. In addition, examples are included (which can also serve as student projects) for solving hyperbolic and elliptic partial differential equations, including both scalar PDEs and systems of equations.
Book Synopsis International Aerospace Abstracts by :
Download or read book International Aerospace Abstracts written by and published by . This book was released on 1996 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Scientific and Technical Aerospace Reports by :
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1995 with total page 702 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Conference on Numerical Weather Prediction by :
Download or read book Conference on Numerical Weather Prediction written by and published by . This book was released on 1991 with total page 888 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Government Reports Announcements & Index by :
Download or read book Government Reports Announcements & Index written by and published by . This book was released on 1994-06 with total page 1370 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Government Reports Annual Index by :
Download or read book Government Reports Annual Index written by and published by . This book was released on 1994 with total page 1688 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Selected Water Resources Abstracts by :
Download or read book Selected Water Resources Abstracts written by and published by . This book was released on 1987 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Monthly Catalogue, United States Public Documents by :
Download or read book Monthly Catalogue, United States Public Documents written by and published by . This book was released on 1994 with total page 1020 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Monthly Catalog of United States Government Publications by :
Download or read book Monthly Catalog of United States Government Publications written by and published by . This book was released on 1994 with total page 1024 pages. Available in PDF, EPUB and Kindle. Book excerpt:
