Impedance boundary condition integral equations

2005 ◽  
Author(s):  
G. Heath
Keyword(s):  
Boundary Condition ◽  
Integral Equations ◽  
Impedance Boundary Condition ◽  
Impedance Boundary

scholarly journals On the Numerical Simulation of Metasurfaces With Impedance Boundary Condition Integral Equations

2015 ◽  
Vol 63 (5) ◽  
pp. 2153-2161 ◽  
Author(s):  
Matteo Alessandro Francavilla ◽  
Enrica Martini ◽  
Stefano Maci ◽  
Giuseppe Vecchi
Keyword(s):  
Numerical Simulation ◽  
Boundary Condition ◽  
Integral Equations ◽  
Impedance Boundary Condition ◽  
Impedance Boundary

A METHOD FOR THE TREATMENT OF A SLOPING SEA BOTTOM IN THE PARABOLIC APPROXIMATION

1996 ◽  
Vol 04 (01) ◽  
pp. 89-100 ◽  
Author(s):  
J. S. PAPADAKIS ◽  
B. PELLONI
Keyword(s):  
Boundary Condition ◽  
Helmholtz Equation ◽  
Pressure Field ◽  
Impedance Boundary Condition ◽  
Parabolic Approximation ◽  
Impedance Boundary ◽  
Local Boundary ◽  
Sea Bottom ◽  
Local Boundary Condition ◽  
Non Local

The impedance boundary condition for the parabolic approximation is derived in the case of a sea bottom profile sloping at a constant angle, as a non-local boundary condition imposed exactly at the interface. This condition is integrated into the IFD code for the numerical computation of the pressure field and implemented to test its accuracy in some benchmark cases, for which the backscattered field is negligible. It is shown that by avoiding the sloping interface, the results obtained are closer to the benchmark results given by normal mode codes solving the full Helmholtz equation, such as the 2-way COUPLE code, than those of the standard IFD or other 1-way codes, at least for problems that do not have significant backscattering effects.

Sign in / Sign up

Export Citation Format

Share Document