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We present a theoretical study of gravity waves generated by an anisotropicmoving disturbance. We model the moving object by an elliptical pressure fieldof given aspect ratio $\mathcal W$. We study the wake pattern as a function of$\mathcal W$ and the longitudinal hull Froude number $Fr = V/\sqrt{gL}$, where$V$ is the velocity, $g$ the acceleration of gravity and $L$ the size of thedisturbance in the direction of motion. For large hull Froude numbers, weanalytically show that the rescaled surface profiles for which $\sqrt{\mathcalW}/Fr$ is kept constant coincide. In particular, the angle outside which thesurface is essentially flat remains constant and equal to the Kelvin angle, andthe angle corresponding to the maximum amplitude of the waves scales as$\sqrt{\mathcal W}/Fr$, thus showing that previous work on the wake's angle forisotropic objects can be extended to anisotropic objects of given aspect ratio.We then focus on the wave resistance and discuss its properties in the case ofan elliptical Gaussian pressure field. We derive an analytical expression forthe wave resistance in the limit of very elongated objects, and show that theposition of the speed corresponding to the maximum wave resistance scales as$\sqrt{gL}/\sqrt{\mathcal W}$.

Wake pattern and wave resistance for anisotropic moving objects