Applications of a generalized Kadomtsev-Petviashvili type equation for varying water depths

Abstract

Applications of a Kadomtsev-Petviashvili type equation with generalized dispersion and shoaling terms are presented. A finite-difference scheme is adopted for the numerical solution of the new wave equation to explore the extended range of application areas. Several experimental cases are simulated and compared with the measurements. Overall performance of the new equation is quite satisfactory.Applications of a Kadomtsev-Petviashvili type equation with generalized dispersion and shoaling terms are presented. A finite-difference scheme is adopted for the numerical solution of the new wave equation to explore the extended range of application areas. Several experimental cases are simulated and compared with the measurements. Overall performance of the new equation is quite satisfactory.