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Improvement of Computational Algorithms for Solving Navier-Stokes Equations on Structured Nets

Authors: Martynenko S.I. Published: 04.03.2014
Published in issue: #2(29)/2008  
DOI:

 
Category: Applied Mathematics and Methods of Mathematical Simulation  
Keywords:

A new approach to the pressure calculation, while solving Navier-Stokes equations in variables velocity-pressure on structured nets, is offered. It is based on using integral forms of the equation of continuity (equations of constancy of mass flow rate) and the pressure decomposition, starting from which an auxiliary problem is stated. Its solution is close to the solution of full Navier-Stokes equations with less volume of computations. A procedure of construction of the auxiliary problem, description of the computational algorithm, and results of solving of test problems are given.