OPTIMAL PRESSURE-PROJECTION METHOD FOR INCOMPRESSIBLE TRANSIENT AND STEADY-STATE NAVIER-STOKES EQUATIONS

摘要

PROBLEM TO BE SOLVED: To improve design of a real-world system using results of a simulation by providing an optimal pressure-projection method for incompressible transient and steady-state Navier-Stokes equations.SOLUTION: Embodiments of the present invention simulate a real-world system by first generating a time dependent system of equations that represents the real-world system, where the time dependent system of equations has a defined constraint. Next, the constraint is decoupled from the time-dependent system of equations using a matrix representing an approximation of physics of the real-world system, the decoupling generating a first system of equations representing the constraint and a second system of equations representing physics of the real-world system. In turn, the generated first and second systems of equations are solved and the real-world system is automatically simulated by generating a simulation.SELECTED DRAWING: Figure 1