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:
Download or read book Dynamically Adaptive Multigrid on Parallel Computers for a Semi implicit Discretization of the Shallow Water Equations written by Reinhold Hess and published by . This book was released on 1999 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Block Structured Adaptive Solution to the Shallow Water Equations written by and published by . This book was released on 2004 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: An adaptive mesh refinement algorithm for shallow water equations is presented. The algorithm uses upwind scheme that is Godunov type and which approximately solves the Riemann problem using Roe's technique. A highly accurate solution is achieved by using the adaptive mesh refinement technique of Berger and Oliger for mesh refinement algorithm. The numerical method is second-order accurate and approximately max-min preserving by using van Leer limited-slope technique. One-dimensional nesting algorithm has been implemented successfully. Numerical results on a test problem verify the second order accuracy of the algorithm. The nested grid results yield the equivalent solution to that of the corresponding fine grid solution.
Download or read book An Adaptive Multiblock High order Finite volume Method for Solving the Shallow water Equations on the Sphere written by and published by . This book was released on 2015 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt: We present a high-order finite-volume approach for solving the shallow-water equations on the sphere, using multiblock grids on the cubed-sphere. This approach combines a Runge--Kutta time discretization with a fourth-order accurate spatial discretization, and includes adaptive mesh refinement and refinement in time. Results of tests show fourth-order convergence for the shallow-water equations as well as for advection in a highly deformational flow. Hierarchical adaptive mesh refinement allows solution error to be achieved that is comparable to that obtained with uniform resolution of the most refined level of the hierarchy, but with many fewer operations.
Download or read book Adaptive Atmospheric Modeling written by Jörn Behrens and published by Springer Science & Business Media. This book was released on 2007-06-25 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an overview of the development of adaptive techniques for atmospheric modeling. Written in an educational style, it functions as a starting point for readers interested in adaptive modeling, in atmospheric sciences and beyond. Coverage includes paradigms of adaptive techniques, such as error estimation and adaptation criteria. Mesh generation methods are presented for triangular/tetrahedral and quadrilateral/hexahedral meshes, with a special section on initial meshes for the sphere.
Download or read book A Block Structured Adaptive Solution to the Shallow Water Equations written by Nitin Bhagat and published by . This book was released on 2004 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: An adaptive mesh refinement algorithm for shallow water equations is presented. The algorithm uses upwind scheme that is Godunov type and which approximately solves the Riemann problem using Roe's technique. A highly accurate solution is achieved by using the adaptive mesh refinement technique of Berger and Oliger for mesh refinement algorithm. The numerical method is second-order accurate and approximately max-min preserving by using van Leer limited-slope technique. One-dimensional nesting algorithm has been implemented successfully. Numerical results on a test problem verify the second order accuracy of the algorithm. The nested grid results yield the equivalent solution to that of the corresponding fine grid solution.
Download or read book Dynamically Adaptive Multigrid on Parallel Computers for a Semi implicit Discretization of the Shallow Water Equation written by Reinhold Hess and published by . This book was released on 1999 with total page 133 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Download or read book Parallel Simulation of the Shallow Water Equations on Structured Dynamically Adaptive Triangular Grids written by Csaba Attila Vigh and published by . This book was released on 2012 with total page 93 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Dynamically Adaptive Multigrid Algorithm for the Incompressible Navier Stokes Equations Validation and Model Problems written by Institute for Computer Applications in Science and Engineering and published by . This book was released on 1991 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Computational Algorithms for Shallow Water Equations written by Eleuterio F. Toro and published by Springer Nature. This book was released on with total page 413 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Higher Order Adaptive Multigrid Solution of a Fluid Flow Problem written by Miao Hu and published by . This book was released on 2000 with total page 64 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book An Adaptive Well Balanced Positivity Preserving Central Upwind Scheme for the Shallow Water Equations Over Quadtree Grids written by Seyed Mohammad Ali Ghazizadeh Fard and published by . This book was released on 2020 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Shallow water equations are widely used to model water flows in the field of hydrodynamics and civil engineering. They are complex, and except for some simplified cases, no analytical solution exists for them. Therefore, the partial differential equations of the shallow water system have been the subject of various numerical analyses and studies in past decades. In this study, we construct a stable and robust finite volume scheme for the shallow water equations over quadtree grids. Quadtree grids are two-dimensional semi-structured Cartesian grids that have different applications in several fields of engineering, such as computational fluid dynamics. Quadtree grids refine or coarsen where it is required in the computational domain, which gives the advantage of reducing the computational cost in some problems. Numerical schemes on quadtree grids have different properties. An accurate and robust numerical scheme is able to provide a balance between the flux and source terms, preserve the positivity of the water height and water surface, and is capable of regenerating the grid with respect to different conditions of the problem and computed solution. The proposed scheme uses a piecewise constant approximation and employs a high-order Runge-Kutta method to be able to make the solution high-order in space and time. Hence, in this thesis, we develop an adaptive well-balanced positivity preserving scheme for the shallow water system over quadtree grids utilizing different techniques. We demonstrate the formulations of the proposed scheme over one of the different configurations of quadtree cells. Six numerical benchmark tests confirm the ability of the scheme to accurately solve the problems and to capture small perturbations. Furthermore, we extend the proposed scheme to the coupled variable density shallow water flows and establish an extended method where we focus on eliminating nonphysical oscillations, as well as well-balanced, positivity preserving, and adaptivity properties of the scheme. Four different numerical benchmark tests show that the proposed extension of the scheme is accurate, stable, and robust.
Download or read book Multiscale and Multiresolution Methods written by Timothy J. Barth and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many computionally challenging problems omnipresent in science and engineering exhibit multiscale phenomena so that the task of computing or even representing all scales of action is computationally very expensive unless the multiscale nature of these problems is exploited in a fundamental way. Some diverse examples of practical interest include the computation of fluid turbulence, structural analysis of composite materials, terabyte data mining, image processing, and a multitude of others. This book consists of both invited and contributed articles which address many facets of efficient multiscale representation and scientific computation from varied viewpoints such as hierarchical data representations, multilevel algorithms, algebraic homogeni- zation, and others. This book should be of particular interest to readers interested in recent and emerging trends in multiscale and multiresolution computation with application to a wide range of practical problems.
Download or read book The Sixth Copper Mountain Conference on Multigrid Methods Part 2 written by and published by . This book was released on 1993 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Multigrid Solution of the Euler Equations Using Unstructured Adaptive Meshes written by D. Tom Predovic and published by . This book was released on 1994 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Multigrid Solution of the Euler Equations on Unstructured and Adaptive Meshes written by Dimitri Mavriplis and published by . This book was released on 1987 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:
