Premium
Numerical outflow boundary conditions for the shallow‐water equations
Author(s) -
Vreugdenhil C. B.,
Booij N.
Publication year - 1985
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1650050408
Subject(s) - spurious relationship , outflow , shallow water equations , boundary (topology) , different types of boundary conditions in fluid dynamics , mechanics , boundary value problem , mathematics , geology , mathematical analysis , physics , geometry , free boundary problem , robin boundary condition , meteorology , statistics
A simple explanation is given of the occurrence of wiggles in the flow field near outflow boundaries. If the shallow‐water equations are solved numerically spurious solutions with an oscillatory character turn out to exist, which can be generated by certain additional numerical boundary conditions on the downstream side. The wiggles usually damp quickly with the distance from the boundary. Some ways of handling the downstream boundary are given which largely avoid the occurrence of wiggles.