A physical approach to development of numerical methods for solving Navier-Stokes equations in primitive variables formulation

摘要

A new approach for reduction of computational cost of numerical algorithms for the Navier-Stokes equations in primitive variables formulation is proposed. The approach uses physical aspects of hydrodynamics for fast computation of 'part' of pressure. For the given purpose, an auxiliary problem based on simplified Navier-Stokes equations and original pressure splitting is suggested. The paper represents detailed description of the approach and results of numerical experiments with benchmark and applied problems. Proposed approach leads to impressive reduction of the computational efforts at simulation of directed fluid flows.