Estimation Of Boundary Derivatives By Trefftz Method And Its
Application To Sloshing Phenomenon
Author(s)
E. Kita. Y. Ikeda, J. Katsuragawa and N. Kamiya
Abstract
Estimation of boundary derivatives by Trefftz
method and its application to sloshing
phenomenon
E. Kita, Y. Ikeda, J. Katsuragawa and N. Kamiya
School of Informatics and Sciences
Nagoya University, Nagoya 464-8301, Japan
Abstract
This paper describes the application of Trefftz method to the simulation
of the sloshing phenomenon. The phenomenon is governed by the Laplace
equation with respect to the velocity potential. The equation is solved
with the adequate boundary conditions to estimate the first-derivative of
the potential on the surface. The surface profile and the boundary con-
dition on the surface are modified according to the derivatives. Since, in
the Trefftz method, the potential is approximated with the superposition
of the regular T-complete functions, their direct differentiation leads to the
derivatives. The Trefftz method, moreover, can estimate easily not only the
first-derivative but also the second-derivative of the potential, we, therefore,
will discuss mor
Keywords
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