Remarks on pressure computation at solving Navier--Stokes equations

S. I. Martynenko

Matematičeskoe modelirovanie, Tome 22 (2010) no. 3, pp. 105-119

Résumé

A method for efficiency increase of algorithms for solving Navier–Stokes equations is offered. In addition to the Navier–Stokes equations, a subsidiary problem based on momentum equations, integral forms of the continuity equation (mass conservation equations) and pressure decomposition is used for reduction of the computational work. Solution of the subsidiary problem is close to the solution of the Navier–Stokes equations at smaller amounts of computations. The paper represents principles of the subsidiary problem formulation, description of the algorithm and results of solution of benchmark problems. The maximum reduction of computational efforts (as compared with traditional solvers) is obtained at simulation directed fluid flows.