This chapter formally derives the linearized versions of the kinematic and dynamic free surface conditions used in wave theory. The procedure is known as a perturbation approach and is applicable to the linearization of nonlinear equations in general. For the potential wave flow problem, the authors derive two free surface boundary conditions. Two boundary conditions are required because people have two unknown functions: the velocity potential and the actual position of the free surface relative to the calm water level. Unfortunately these boundary conditions are: nonlinear and implicit. The authors linearize the free surface boundary conditions based on a perturbation approach. The perturbation approach follows the general concept of mathematical series like the Taylor series or the Fourier series. The idea is that an approximate, basic solution for the unknown function is improved with additional terms that become smaller and smaller.


    Zugriff

    Zugriff prüfen

    Verfügbarkeit in meiner Bibliothek prüfen

    Bestellung bei Subito €


    Exportieren, teilen und zitieren



    Titel :

    Linearization of Free Surface Boundary Conditions


    Beteiligte:
    Birk, Lothar (Autor:in)

    Erschienen in:

    Erscheinungsdatum :

    2019-05-06


    Format / Umfang :

    9 pages




    Medientyp :

    Aufsatz/Kapitel (Buch)


    Format :

    Elektronische Ressource


    Sprache :

    Englisch




    Linearization of turbulent boundary-layer equations

    CEBECI, T. / CHANG, K. C. / MACK, D. P. | AIAA | 1984




    Rocket Landing Guidance Based on Linearization-Free Convexification

    Yang, Runqiu / Liu, Xinfu / Song, Zhengyu | AIAA | 2023


    Feedback Linearization

    von Ellenrieder, Karl Dietrich | Springer Verlag | 2021