Accuracy and Stability of Virtual Source Method for Numerical Simulations of Nonlinear Water Waves

Abstract: The Virtual Source Method (VSM) is based upon the integral equations derived by using Green’s identity with Laplace’s equation for the velocity potential. The velocity potential within the fluid domain is completely determined by the potential on a virtual boundary located above the fluid, avoiding the need to evaluate the singular integrals normally associated with integral equation methods. This talk will present numerical simulations of non-linear standing waves and sloshing problems using VSM. We will discuss stability and convergence of the method as well as looking at global and energy and volume conservation.

[Moved to 3-3.45pm to cater for the Statistics seminar]