Abstract
It is essential to distinguish the applicable range of theories of internal solitary waves (ISWs). Numerous numerical simulations and theoretical calculations with wide ranging thickness ratios β=h1/h2 (0.11≤β≤0.43) and amplitude parameters α=a/h1 (0.05≤α≤2.11), where h1 and h2 are the thicknesses of upper and lower layer, respectively, a is the amplitude of ISW, have been conducted to compare the characteristics among the theoretical and numerical results. Six common theories of ISW, including KdV, eKdV, mKdV, MCC, KB, and KAS, are compared to optimize the theory for different thickness ratios and amplitude conditions. Through extensive theoretical calculations, a diagram of the applicable range of theories was proposed based on the ratio between the amplitude parameter α to thickness ratio β and the square of the long wave parameter ε2=H2/λ2. The diagram was validated by comparing the numerical and theoretical results. Based on the numerical data, the optimal applicable ranges of the KdV theory (0.05≤α≤0.22) and eKdV and MCC (0.22<α≤2.11) in finite depth and specified layer thickness ratio configurations are given. For application of ISW theories, the diagram of applicable range is recommended for selecting a better theory.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
