Digitale Medien
Chichester
:
Wiley-Blackwell
International Journal for Numerical Methods in Fluids
23 (1996), S. 415-430
ISSN:
0271-2091
Schlagwort(e):
potential flow
;
free boundary
;
analytic series
;
arbitrary boundaries
;
steady seepage
;
Engineering
;
Engineering General
Quelle:
Wiley InterScience Backfile Collection 1832-2000
Thema:
Maschinenbau
Notizen:
The solution of Laplace's equation for a wide range of spatial domains and boundary conditions is a valuable asset in the study of potential theory. Recently, classical analytic series techniques based on separation of variables have been modified to solve Laplace's equation with both irregular and free boundaries. Computationally the free boundary problem is reduced to an iterative sequence of curve-fitting exercises. At each iteration the series coefficients for a known boundary problem are evaluated numerically. In this paper a new interpolation approach is presented for the estimation of the series coefficients. It has the advantages of providing a conceptually simpler view of the series technique and of estimating the series coefficients significantly faster than alternative approaches. Owing to the choice of basis functions in the truncated series solution, rigorous estimates of the error in the approximation are immediately available. A free boundary problem from steady hillside seepage with irregular boundaries will be used to illustrate the new technique.
Zusätzliches Material:
3 Ill.
Materialart:
Digitale Medien
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