Optimal Pressure-Projection Method For Incompressible Transient And Steady-State Navier-Stokes Equations

A computer system for simulating a real-world system, the computer system comprising:

• a processor;
• and
• a memory with computer code instructions stored thereon, the processor and the memory, with the computer code instructions thereon, being configured to cause the system to:
• generate a time dependent system of equations representing a real-world system, the time dependent system of equations having a defined constraint;
• de-couple the constraint from the time dependent system of equations using a matrix representing an approximation of physics of the real-world system, the de-coupling generating a first system of equations representing the constraint and a second system of equations representing physics of the real-world system;
• automatically solve the generated first system of equations and the generated second system of equations;
• and
• automatically simulate the real-world system by generating a simulation of the real-world system using results from solving the generated first and second systems of equations.

A computer program product for simulating a real-world system, the computer program product executed by a server in communication across a network with one or more clients and comprising:

• a computer readable medium, the computer readable medium comprising program instructions which, when executed by a processor causes the processor to:
• generate a time dependent system of equations representing a real-world system, the time dependent system of equations having a defined constraint;
• de-couple the constraint from the time dependent system of equations using a matrix representing an approximation of physics of the real-world system, the de-coupling generating a first system of equations representing the constraint and a second system of equations representing physics of the real-world system;
• automatically solve the generated first system of equations and the generated second system of equations;
• and
• automatically simulate the real-world system by generating a simulation of the real-world system using results from solving the generated first and second systems of equations.