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Can I read Traveling Water Waves: Spectral Continuation Methods with Parallel Implementation on EtoBox?
Traveling Water Waves: Spectral Continuation Methods with Parallel Implementation by David P. Nicholls is a Engineering article available to read on EtoBox.
What is Traveling Water Waves: Spectral Continuation Methods with Parallel Implementation about?
We present a numerical continuation method for traveling wave solutions to the full water wave problem using a spectral collocation discretization. The water wave problem is reformulated in terms of surface variables giving rise to the Zakharov-Craig-Sulem formulation, and traveling waves are studied by introducing a phase velocity vector as a parameter. We follow non-trivial solution branches bifurcating from the trivial solution branch via numerical continuation methods. Techniques such as projections and filtering allow the computation to proceed for greater distances up the branch, and parallelism allows the computation of larger problems. We conclude with results including the formation of hexagonal patterns for the three dimensional problem.
Who reads Traveling Water Waves: Spectral Continuation Methods with Parallel Implementation?
It is typically read by researchers, students, and practitioners in Engineering.
- Author
- David P. Nicholls
- Publisher
- Elsevier Science; Elsevier ; Elsevier Inc.; Elsevier BV; Test accounts (ISSN 0021-9991)
- Published
- 1998
- Language
- EN
- Field
- Engineering (Physical Sciences)