A high-order finite volume method solving viscous incompressible flows using general pressure equation

A high-order accurate finite volume method on Cartesian meshes has been developed to solve viscous incompressible flows using the general pressure equation (GPE). The GPE is a evolution that replaces divergence-free constraint when computing flows. spatial accuracy of current deduced from flow reconstruction model conserved integrals, and computations flux integrals. Roe’s difference scheme was adapted compute inviscid fluxes. grid convergence tests solution Taylor-Green decaying vortices showed spatially fifth order for both velocity pressure. problem doubly periodic shear layers lid-driven cavity were computed demonstrate capability in transient steady state computations.