The classical water wave equations (CWWEs) comprise two boundary conditions for the two-dimensional flow on free surface of a bulk three-dimensional (3D) incompressible potential in volume bounded by surface, which itself moves under restoring force gravity. One these provides kinematic definition vertical velocity elevation. other condition is dynamic Bernoulli law that governs evaluation surf...

ABSTRACT In this paper, we will combine an upwind radial basis function-finite element with direct velocity–pressure formulation to study the two-dimensional Navier-Stokes equations free surface flows. We examine in improved mixed-order finite and localized function method. A particle tracking method arbitrary Lagrangian-Eulerian scheme then be applied simulate high Reynolds An based on a diffe...

We test the theoretical free energy surface (FES) for two-step nucleation (TSN) proposed by Iwamatsu [J. Chem. Phys. 134, 164508 (2011)] comparing predictions of theory to numerical results FES recently reported from Monte Carlo simulations TSN in a simple lattice system [James, et al., J. 150, 074501 (2019)]. No adjustable parameters are used make this comparison. That is, all evaluated direct...