Development of a conservative 3D free surface code
作者:
T. G. Thomas,
J. J. R. Williams,
D. C. Leslie,
期刊:
Journal of Hydraulic Research
(Taylor Available online 1992)
卷期:
Volume 30,
issue 1
页码: 107-115
ISSN:0022-1686
年代: 1992
DOI:10.1080/00221689209498950
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
The paper describes the salient features of a three-dimensional finite difference code at present under development for Large Eddy Simulation of free-surface turbulence. It is essential in this application that the numerical approximations conserve mass, momentum, and kinetic + potential energy while allowing for large movements of the free surface and these are presented in detail for cells cut by the surface. The surface advancement is by a combined Volume-of-Fluid and height function method which conserves mass exactly over finite time steps, but does not permit breaking waves. Momentum is advanced by control volume techniques, and the potential singularity caused by very small surface cells is avoided by a new split-merge technique which is numerically stable. Results are presented for a two-dimensional inviscid large amplitude wave in a periodic box.
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