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MATHEMATICAL MODELING OF THE MIXED REGION DYNAMICS IN A NONHOMOGENEOUS MEDIUM
Abstract
Study of wave motions fluid is one of the most important and complex problems of modern hydrodynamics. A mathematical model for dynamics of incompressible uniform viscous liquid stains in stratified medium is suggested. This model is described by the Navier-Stokes equations in the Boussinesq approximation. Stratification component of medium is saltiness. Bearing in mind that in such flows there are areas with large gradients of hydrodynamic parameters required methods should possess such properties as a high order of accuracy, minimum scheme dissipation and dispersion, as well as monotony. To solve the task, use the authors developed a method of splitting by physical factors, the method SMIF (Splitting on physical factors Method for Incompressible Fluid flows) possessing by the above-mentioned properties. Fore steps splitting scheme is considered. This paper will provide a brief description of the method SMIF. The test calculations and comparison with some theoretical, experimental data and calculations of other authors will be demonstrated.
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