Abstract: A system and method for determining fluid flow of compressible and non-compressible liquids includes an input receiving an object model defined as a plurality of cells having nodes, a processor and memory. The processor is configured for: discretizing a partial differential equation (PDE) corresponding to the received model; for each node P: (i) locating all neighboring cells that share the node P; establish a finite difference stencil at each cell center, and identify stencil intersection points with cell boundary edges; calculate an approximate solution of the PDE at the intersection points; (ii) approximating the PDE at the cell center of the neighboring cells using the stencil and discretized PDE; and (iii) updating a solution of the PDE at the node P by using the solution of approximated discretized PDE at all the neighboring cell centers; and iteratively updating the solution for all nodes P from an initial guess until a convergence criterion is satisfied.

Abstract: A system and method for determining fluid flow of compressible and non-compressible liquids is described. The system may include input means for receiving a model of an object defined as a plurality of cells having a plurality of nodes P, and a processor coupled to a memory. The processor may be configured for: discretizing a partial differential equation (PDE) corresponding to the received model; for each node P: (i) locating all neighbouring cells that share the node P, each of the neighbouring cells having a cell center; (ii) approximating the PDE at the cell center of the neighbouring cells using the discretized PDE; and (iii) updating a solution of the PDE at the node P by using the approximated discretized PDE at all the neighbouring cell centers; and iteratively updating the solution for all the nodes P from an initial guess until a convergence criterion is satisfied.