ZIB

Hits per page

hits 1 - 2 | 2 hits

Sorting

Electronic Resource

A cost-function approach to the assimilation of asynoptic data (1987)

Thacker, W. C.

Springer

Journal of scientific computing 2 (1987), S. 137-158

add to mindlist on the mindlist

Details

ISSN: 1573-7691

Source: Springer Online Journal Archives 1860-2000

Topics: Computer Science

Notes: Abstract This paper describes a method for reconstructing a synoptic state by fitting dynamics to asynoptic data. The best fit is defined by the minimum of a quadratic cost function and dynamics are enforced through the use of a penalty term. When the coefficient of the penalty term is identified as the inverse of the variance of model error, the method yields the same results as Kalman filtering, and in the limit of infinitely large coefficient, the same as strong-constraint formalisms. The self-adjoint nature of the equations for the best fit motivated the use of a relaxation method for their solution. The method is illustrated within the context of one-dimensional, linear, shallow-water wave dynamics, where computational examples indicate that a synoptic state is properly determined only if the asynoptic data are equivalent to complete initial conditions.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01061483

Permalink

Library	Location	Call Number	Volume/Issue/Year	Availability

Others were also interested in ...

Paper (German National Licenses)

Fulltext

Electronic Resource

A brief review of techniques for generating irregular computational grids (1980)

Thacker, W. C.

Chichester [u.a.] : Wiley-Blackwell

International Journal for Numerical Methods in Engineering 15 (1980), S. 1335-1341

add to mindlist on the mindlist

Details

ISSN: 0029-5981

Keywords: Engineering ; Engineering General

Source: Wiley InterScience Backfile Collection 1832-2000

Topics: Mathematics , Technology

Notes: This review attempts to place in perspective the wide variety of computer methods which are available for constructing irregular computational grids. Several different approaches exist for each aspect of the construction task: creation of the points, recognition of neighbouring points that define grid elements, enumeration of the points with indices, optimization of the positions of the points for computational advantage, and variation of point density throughout the grid.