Artificial Boundary Method for Calculating the Ship Wave Resistance ∗†

Abstract: We consider the calculation of wave resistance for a ship moving at constant speed near the free surface of the water. This wave resistance can be calculated with a linearized steady potential model. To deal with the unboundedness of the physical domain in the potential flow problem, we introduce one vertical side as the upstream artificial boundary and two vertical sides as the downstream artificial boundaries. On the artificial boundaries, a sequence of high-order global artificial boundary conditions are given. Then the potential flow problem is reduced to a problem defined on a finite computational domain, which is equivalent to