The boundary layer equations for plane, incompressible, and steady flow are 

$$\matrix{ {u{{\partial u} \over {\partial x}} + v{{\partial u} \over {\partial y}} = - {1 \over \varrho }{{\partial p} \over {\partial x}} + v{{{\partial ^2}u} \over {\partial {y^2}}},} \cr {0 = {{\partial p} \over {\partial y}},} \cr {{{\partial u} \over {\partial x}} + {{\partial v} \over {\partial y}} = 0.} \cr }$$

Boundary Layer Theory

This book is a tutorial written by researchers and developers behind the FEniCS Project and explores an advanced, expressive approach to the development of mathematical software. The presentation spans mathematical background, software design and the use of FEniCS in applications. Theoretical aspects are complemented with computer code which is available as free/open source software. The book begins with a special introductory tutorial for beginners. Followingare chapters in Part I addressing fundamental aspects of the approach to automating the creation of finite element solvers. Chapters in Part II address the design and implementation of the FEnicS software. Chapters in Part III present the application of FEniCS to a wide range of applications, including fluid flow, solid mechanics, electromagnetics and geophysics.

Automated Solution of Differential Equations by the Finite Element Method: The FEniCS Book

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Numerical Heat Transfer And Fluid Flow

SUMMARY
The open-source CFD library OpenFoam® contains a method for solving free surface Newtonian flows using the Reynolds averaged Navier–Stokes equations coupled with a volume of fluid method. In this paper, it is demonstrated how this has been extended with a generic wave generation and absorption method termed ‘wave relaxation zones’, on which a detailed account is given. The ability to use OpenFoam for the modelling of waves is demonstrated using two benchmark test cases, which show the ability to model wave propagation and wave breaking. Furthermore, the reflection coefficient from outlet relaxation zones is considered for a range of parameters. The toolbox is implemented in C++, and the flexibility in deriving new relaxation methods and implementing new wave theories along with other shapes of the relaxation zone is outlined. Subsequent to the publication of this paper, the toolbox has been made freely available through the OpenFoam-Extend Community. Copyright © 2011 John Wiley & Sons, Ltd.

A wave generation toolbox for the open‐source CFD library: OpenFoam®

SWASH: An operational public domain code for simulating wave fields and rapidly varied flows in coastal waters

This work presents a case study involving the numerical simulation of the unsteady boundary layer generated by the 2010 Chilean tsunami, as measured by field equipment in Monterey Bay, Cal...

/pdf/numerical-simulation-of-the-boundary-layer-flow-generated-in-3wzyl28bwo.pdf

Numerical Simulation of the Boundary Layer Flow Generated in Monterey Bay, California, by the 2010 Chilean Tsunami: Case Study

/pdf/experimental-investigation-on-the-nearshore-transport-of-11be1j8s.pdf

Experimental investigation on the nearshore transport of buoyant microplastic particles.

D5.10 Interaction of the tsunami with the seabed. Implications for wind farms, aquaculture, coastal ecosystems and marine protected areas. Fuhrman, D. R., Eltard-Larsen, B., Sumer, B. M., Baykal, C., Dogulu, N., Duha Metin, A., Can Aydin, D., Yalciner, A. C., Omira, R., Lorenço, N. & Baptista, M. A., 2015, 57 p. Research output: Book/Report › Report – Annual report year: 2015 › Research › peer-review

https://ascelibrary.org/doi/pdf/10.1061/%28ASCE%29WW.1943-5460.0000346

Erratum for “Simulation of Wave-Plus-Current Scour beneath Submarine Pipelines” by Bjarke Eltard Larsen, DavidR. Fuhrman, and B. Mutlu Sumer

Simulation of cross-shore breaker bar development utilizing a stabilized two-equation turbulence model

Recently, it has been proposed that the emergence of previously observed oscillating crescent water wave patterns, created by class II (three-dimensional) instabilities which are in principle not dominant, could in fact be explained as an artifact of a finite width tank, combined with a suppression of the class I (Benjamin–Feir) instability. Within this context, we investigate quantitatively the dominance of class II deep water wave instabilities for particular transversal wavenumbers, and it is shown that the regions where non-phase-locked (oscillating) crescent wave patterns are locally dominant is surprisingly large, particularly for low to moderate wave steepness. This is an important realization for both experimentalists and numerical modelers currently studying these phenomena.

/pdf/potential-dominance-of-oscillating-crescent-waves-in-finite-4119thxu0c.pdf

David R. Fuhrman

Papers

Numerical Simulation of the Boundary Layer Flow Generated in Monterey Bay, California, by the 2010 Chilean Tsunami: Case Study

Experimental investigation on the nearshore transport of buoyant microplastic particles.

Erratum for “Simulation of Wave-Plus-Current Scour beneath Submarine Pipelines” by Bjarke Eltard Larsen, DavidR. Fuhrman, and B. Mutlu Sumer

Simulation of cross-shore breaker bar development utilizing a stabilized two-equation turbulence model

Potential dominance of oscillating crescent waves in finite width tanks