2 edition of **Solving upwind-biased discretizations II** found in the catalog.

Solving upwind-biased discretizations II

Boris Diskin

- 346 Want to read
- 23 Currently reading

Published
**1999**
by National Aeronautics and Space Administration, Langley Research Center, National Technical Information Service, distributor in Hampton, Va, [Springfield, Va
.

Written in English

- Navier-Stokes equations -- Numerical solutions.,
- Error analysis (Mathematics),
- Mathematical optimization.,
- Approximation theory.,
- Multigrid methods (Numerical analysis)

**Edition Notes**

Other titles | Solving upwind biased discretizations II, Solving upwind biased discretizations 2, Solving upwind biased discretizations two, Multigrid solver using semicoarsening, ICASE |

Statement | Boris Diskin. |

Series | ICASE report -- no. 99-25, NASA/CR -- 1999-209355, NASA contractor report -- NASA CR-1999-209355. |

Contributions | Institute for Computer Applications in Science and Engineering., Langley Research Center. |

The Physical Object | |
---|---|

Pagination | 29 p. : |

Number of Pages | 29 |

ID Numbers | |

Open Library | OL21806944M |

In the latter case upwind-biased schemes are used relying exclusively upon their numerical properties, which, for some reasons, are capable to correctly reproduce the physical phenomena. I agree for this reason the "physical/numerical motivations" for using upwind schemes should be seen in a framework in which the physical problem, the class of. The 'eFEM' component allows the use of Finite Elements discretizations to solve common problems in fluid dynamics, and the 'part' refers to mesh-free particle methods (discrete element method) primarily aimed at granular-media simulations where continuum constitutive laws .

The next four chapters take the reader through the fundamentals of multigrid methods, including an analysis of nonlinear problems and higher order discretizations. Throughout the book, the reader is referred to other literature. An extensive list of references ( in total) is given. In computational physics, upwind schemes denote a class of numerical discretization methods for solving hyperbolic partial differential schemes use an adaptive or solution-sensitive finite difference stencil to numerically simulate the direction of propagation of information in a flow field. The upwind schemes attempt to discretize hyperbolic partial differential equations by.

Numerical Computation of Internal and External Flows Volume 1: Fundamentals of Numerical Discretization C. Hirsch, Vrije Universiteit Brussel, Brussels, Belgium This is the first of two volumes which together describe comprehensively the theory and practice of the numerical computation of internal and external flows. In this volume, the author explains the use of basic computational methods to. 1, works Search for books with subject Numerical solutions. Search. Differentialgleichungen Erich Kamke Read. Modern computing methods National Physical Laboratory ( Read. Borrow. Solution of equations and systems of equations Alexander Ostrowski Read. Read. Borrow. Solving upwind-biased discretizations Boris Diskin Read.

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This paper studies a novel multigrid approach tothe solution for a second order upwind-biased discretization of the convection equation in two dimensions. This approach is based on semicoarsening and well balanced explicit correction terms added to coarse-grid operators to maintain on coarse grids the same cross-characteristic interaction as on the target (ne) grid.

Solving upwind-biased discretizations II: multigrid solver using semicoarsening. This paper studies a novel multigrid approach to the solution for a second order upwind-biased discretization of the convection equation in two dimensions.

This approach is based on semicoarsening and well balanced explicit correction terms added to coarse-grid operators to maintain on coarse grids the same cross-characteristic interaction as on the target (fine) grid. They solve a general elliptic system of discretized partial differential equations in just several minimal work units, where a minimal work unit is defined as the number of computer operations.

Abstract This paper studies a novel multigrid approach tothe solution for a second order upwind-biased Solving upwind-biased discretizations II book of the convection equation in two : Boris Diskin. Abstract This paper studies a novel multigrid approach to the solution for a second order upwind-biased discretization of the convection equation in two : Boris Diskin.

This paper studies a novel multigrid approach to the solution for a second-order upwind-biased discretization of the convection equation in two dimensions. This approach is based on semi-coarsening and well-balanced explicit correction terms, added to coarse-grid operators to maintain on coarse grids the same cross-characteristic interaction as on the target (fine) by: 6.

This paper studies a novel multigrid approach to the solution for a second-order upwind-biased discretization of the convection equation in two dimens Cited by: 6.

() Efficient multigrid methods for solving upwind-biased discretizations of the convection equation. Applied Mathematics and ComputationCited by: Boris Diskin currently works at National Institute of Aerospace. Boris does research in Applied Mathematics, Fluid Dynamics and Computational Physics.

Their current projects are 'Solver Technology. Solving upwind-biased discretizations: defect-correction iterations Author: Boris Diskin ; James L Thomas ; Institute for Computer Applications in Science and Engineering. This book deals with numerical methods for solving partial differential equa tions (PDEs) coupling advection, diffusion and reaction terms, with a focus on time-dependency.

A combined treatment is presented of methods for hy perbolic problems, thereby emphasizing the one-way wave equation, meth ods for parabolic problems and methods for stiff and non-stiff ordinary dif ferential equations (ODEs)/5(3).

Finite Difference Methods for Ordinary and Partial Differential Equations Steady-State and Time-Dependent Problems Randall J. LeVeque University of Washington Seattle, Washington Society for Industrial and Applied Mathematics • Philadelphia 6/4/ AM Page 3. National Aeronautics and Space Administration Langley Research Center.

An upwind-biased advection scheme based on a piecewise linear approximation for one-dimensional regular grids is extended simply for spherical hexagonal–pentagonal grids. The distribution of a tracer over the upwind side of a cell face is linearly approximated using a nodal value and a gradient at a computational node on the upwind by: REDUCTION-BASED ALGEBRAIC MULTIGRID FOR UPWIND DISCRETIZATIONS THOMAS A.

MANTEUFFEL y, STEPHEN MCCORMICK, STEFFEN MUNZENMAIER z, JOHN RUGE y, AND BEN S. SOUTHWORTH x Abstract. Algebraic muligrid (AMG) is a go Author: Ben Southworth, Tom Manteuffel, Steve McCormick, Steffen Munzenmaier, John Ruge.

SOLVING UPWIND-BIASED DISCRETIZATIONS II: MULTIGRID SOLVER USING SEMICOARSENING BORIS DISKIN" Abstract. This paper studies a novel nmltigrid approach to the solution for a second order upwind-biased discretization of the convection equation in two dimensions.

This approach is. Meshfree Methods for Partial Differential Equations II. A Particle Strategy for Solving the Fokker-Planck Equation Modelling the Fiber Orientation Distribution in Steady Recirculating Flows Involving Short Fiber Suspensions element-free Galerkin methods engineering applications finite element method fluid mechanics mechanics meshfree.

This research aims to solve Differential Algebraic Equation (DAE) problems in their original form, wherein both the differential and algebraic equations remain.

The Newton or Newton-Broyden technique along with some integrators such as the Runge-Kutta method is coupled together to solve the problems. Experiments show that the method developed in this paper is efficient, as it demonstrates that Author: Ampon Dhamacharoen.

As with chebfuns, the discretizations are chosen automatically to achieve high accuracy. In fact, beginning with version 5, Chebfun actually offers two different methods for solving these problems, which go by the names of rectangular collocation (or Driscoll-Hale) spectral methods and ultraspherical (or Olver-Townsend) spectral methods.

Diskin, B. (). Efficient multigrid methods for solving upwind-biased discretizations of the convection equation. Applied Mathematics and Computation, (3)– (Also ICASE Report 99–25, NASA CR). Google ScholarCited by: 1.We investigate an approach to the solution of nonelliptic equations on a rectangular grid.

The multigrid algorithms presented here demonstrate the "textbook multigrid efficiency" even in the case that the equation characteristics do not align with the grid.

To serve as a model problem, the two-dimensional (2D) and three-dimensional (3D) linearized sonic flow equations have been by: This is the first in a series of papers analyzing the efficiency of different iterative algorithms solving upwind-biased discretizations of the convection operator.

where fi = (al,a2) is a given vector. The solution U(x, y) is a differentiable function defined on the unit square (x, y) E [0, 1] × [0, 1].