Numerical algorithms for flows in the nodes of 2D models of pipe networks

摘要

This work is aimed at developing efficient computational algo- rithms for numerical simulation of steady-state incompressible vis- cous flows in nodes of circulation networks, High order accuracy implicit stabilization algorithms based on upwind finite-difference schemes were proposed. In order to treat complicated geometry, decomposition of computational domains was used. The effect of an external circulation network was simulated by means of nonlocal boundary conditions linking inlet and outlet flow parameters. A fluid flow related to specific cardiovascular operation was studied numerically as an example.