Premium
A Computational Method for Solitary Internal Waves in a Continuously Stratified Fluid
Author(s) -
Turkington Bruce,
Eydeland Alexander,
Wang Sheng
Publication year - 1991
Publication title -
studies in applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 46
eISSN - 1467-9590
pISSN - 0022-2526
DOI - 10.1002/sapm199185293
Subject(s) - nonlinear system , euler equations , stratification (seeds) , compressibility , amplitude , internal wave , mathematics , euler's formula , mathematical analysis , stratified flow , stratified flows , classical mechanics , mechanics , physics , turbulence , seed dormancy , germination , botany , quantum mechanics , dormancy , biology
An iterative algorithm is presented to compute steady, translational nonlinear waves in an incompressible fluid with a stable density stratification. The method yields solitary internal waves as exact solutions of the governing Euler equations without the restrictions on wave amplitude or density profile involved in the various approximate models of weakly nonlinear long waves. Computed examples of large‐amplitude solutions in shallow and deep fluid regimes are given. A natural variational principle derived from the structure of the underlying dynamical equations forms the basis of the method. The construction of the numerical algorithm and the analysis of the properties of solutions are both developed from the same principle.