Abstract: In a washing machine comprising a tub, an agitator, and a pressure sensor, a size of a fabric load may be determined and/or an operational water level may be set based on a time of supplying water to reach a timing water level in the tub and on variation in an output from the pressure sensor during agitation of the water and fabric load with the water at a agitation water level in the tub.

Abstract: A numerical procedure for simulating the behavior of incompressible, viscous fluid in a casting/molding process. The method is based on classical fluid dynamic equations and uses control volume-finite element and numerical techniques to solve the momentum and energy equations to obtain solution for the variable parameters. The method incorporates five additional modules which simulate fluid flow in the shot sleeve, heat transfer between the die and the heat transfer fluid, die cooling by lubricant, formation of mend line. These additional simulation modules produce realistic boundary conditions, and replace many of the assumptions that would have to be made, to solve the governing equations. These added improvements ensure a faster convergence of the numerical solution and a more realistic simulation of the die casting process.

Abstract: The present invention provides a method for solving the Navier-Stokes equation of viscous, incompressible laminar flows with moving free surfaces in complex domains. The method uses fixed mesh control volume-finite element techniques to track the flow. A gauss point velocity vector is defined as the average of its nodal counterpart, such that the gauss point velocity vector is constant over the element. The gauss point velocity vector is then inserted into the continuity constraint to form the Poisson pressure equation for solving the pressure field. The solution to the Poisson pressure equation is unique, the common checker-board problem is therefore eliminated. The corrected pressure field is substituted into the momentum equations, so that the resulting velocity field satisfies the continuity equation. Since velocity and pressure are evaluated at the same order, the global mass conservation can be evaluated to machine round-off tolerances.