Memory Efficient Methods for Eulerian Free Surface Fluid Animation

TL;DR: In this article, the problem of real-time simulation of ocean surface waves, ship movement and coupling in between is tackled, and a number of different methods are covered and discussed.

TL;DR: The PSC algorithm as mentioned in this paper approximates the Hamilton-Jacobi equations with parabolic right-hand-sides by using techniques from the hyperbolic conservation laws, which can be used also for more general surface motion problems.

TL;DR: Numerical experiments and numerical comparisons show that the PML technique works better than the others in all cases; using it allows to obtain a higher accuracy in some problems and a release of computational requirements in some others.

TL;DR: New numerical algorithms are devised (PSC algorithms) for following fronts propagating with curvature-dependent speed, providing methods that accurately capture the formation of sharp gradients and cusps in the moving fronts.

TL;DR: In this paper, a new technique is described for the numerical investigation of the time-dependent flow of an incompressible fluid, the boundary of which is partially confined and partially free The full Navier-Stokes equations are written in finite-difference form, and the solution is accomplished by finite-time step advancement.