Stream Function Wave Theory with Profile Constraints
Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 119, Issue 1
Abstract
Numerical stream function wave theory with inclusion of inequality profile constraints is presented in this paper. This theory is applicable to waves in shallow to intermediate to deep waters with a coflowing Eulerian current or Stokes mass flux. Numerical algorithm is modified and expanded from previous code with two equality profile constraints, while the changes are kept to a minimum; i.e., the system unknowns are still solved in a least‐squares approximation to a transformed penalty function. This modified numerical stream function wave theory avoids the invalid triple‐crested wave predictions in shallow waters, while its solution characteristics in intermediate to deep waters remain the same as the previous least‐squares algorithms.
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Copyright © 1993 American Society of Civil Engineers.
History
Received: Mar 17, 1992
Published online: Jan 1, 1993
Published in print: Jan 1993
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