Analytical solutions for steep standing waves Available to Purchase

A Stokes-style analytical theory for standing waves is developed and explored. The theory is numerically confirmed as correct to fifth order, and details of the solution are archived in a manner that anticipates the confirmation demands of application code. The uniquely non-linear aspects of the predicted kinematics are demonstrated in parallel with the equivalent linear theory prediction. Finally, the limits of validity of the analytical solution are examined, and lead to a preliminary but pragmatic estimate of limit standing waves.