skip to main content
Ngôn ngữ:
Giới hạn tìm kiếm: Giới hạn tìm kiếm: Dạng tài nguyên Hiển thị kết quả với: Hiển thị kết quả với: Chỉ mục

Practical use of variational principles for modeling water waves

Clamond, Didier ; Dutykh, Denys

Physica D: Nonlinear Phenomena, 2012, Vol.241(1), pp.25-36 [Tạp chí có phản biện]

ISSN: 0167-2789 ; E-ISSN: 1872-8022 ; DOI: 10.1016/j.physd.2011.09.015

Toàn văn sẵn có

Trích dẫn Trích dẫn bởi
  • Nhan đề:
    Practical use of variational principles for modeling water waves
  • Tác giả: Clamond, Didier ; Dutykh, Denys
  • Chủ đề: Water Waves ; Variational Principle ; Lagrangian ; Hamiltonian ; Relaxation ; Approximations ; Engineering ; Physics
  • Là 1 phần của: Physica D: Nonlinear Phenomena, 2012, Vol.241(1), pp.25-36
  • Mô tả: This paper describes a method for deriving approximate equations for irrotational water waves. The method is based on a ‘relaxed’ variational principle, i.e., on a Lagrangian involving as many variables as possible. This formulation is particularly suitable for the construction of approximate water wave models, since it allows more freedom while preserving a variational structure. The advantages of this relaxed formulation are illustrated with various examples in shallow and deep waters, as well as arbitrary depths. Using subordinate constraints (e.g., irrotationality or free surface impermeability) in various combinations, several model equations are derived, some being well-known, other being new. The models obtained are studied analytically and exact traveling wave solutions are constructed when possible. ► We introduce a relaxed variational principal for water waves. ► This principle is used to derive various simple approximations for horizontal seabeds in shallow, deep and arbitrary depth. ► The advantages and limitations of the methods are illustrated via these simple examples.
  • Ngôn ngữ: English
  • Số nhận dạng: ISSN: 0167-2789 ; E-ISSN: 1872-8022 ; DOI: 10.1016/j.physd.2011.09.015

Đang tìm Cơ sở dữ liệu bên ngoài...