Water-wave profiles from pressure measurements: Extensions
| Autor: | Katie Oliveras, Vishal Vasan |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Surface (mathematics)
Applied Mathematics Elevation Geometry 01 natural sciences Domain (mathematical analysis) 010305 fluids & plasmas law.invention 010101 applied mathematics Nonlinear system Pressure measurement Inviscid flow law 0103 physical sciences Asymptotic formula Gravity wave 0101 mathematics Mathematics |
| Zdroj: | Applied Mathematics Letters. 68:175-180 |
| ISSN: | 0893-9659 |
| Popis: | In this letter, we present a method to reconstruct the surface elevation of an inviscid traveling gravity wave in two dimensions using the pressure measured at any depth. In order to achieve this reconstruction, we derive a map from the pressure at an arbitrary depth p ( x , z 0 ) to the horizontal velocity at the bottom of the fluid domain. Once this map is established, we use the result presented in Oliveras et al. (2012) to find the free-surface η . In addition to the fully nonlinear relationship, we present a “heuristic” asymptotic formula that does not involve the wave speed c . |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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