LAUSR.org creates dashboard-style pages of related content for over 1.5 million academic articles. Sign Up to like articles & get recommendations!

Numerical Methods with Adaptive Artificial Viscosity for Solving Navier−Stokes Equations

Photo from wikipedia

A numerical method for solving two-dimensional problems of a viscous compressible gas based on Navier–Stokes equations with the introduction of adaptive artificial viscosity is presented. The proposed method is implemented… Click to show full abstract

A numerical method for solving two-dimensional problems of a viscous compressible gas based on Navier–Stokes equations with the introduction of adaptive artificial viscosity is presented. The proposed method is implemented for areas of the general form on triangular grids. The method of the adaptive artificial viscosity is taken as the basis of the proposed numerical method and ensures the monotonicity of the solutions, even in the presence of shock waves. The artificial viscosity (introduced into the difference scheme) is constructed in such a way that it is absent in the boundary layer where the dynamic viscosity acts. The viscosity is determined from the conditions of the fulfillment of the maximum principle. The series of calculations of an external flow around a cylinder for various Reynolds and Mach numbers is described.

Keywords: artificial viscosity; viscosity; stokes equations; numerical methods; adaptive artificial; navier stokes

Journal Title: Mathematical Models and Computer Simulations
Year Published: 2017

Link to full text (if available)


Share on Social Media:                               Sign Up to like & get
recommendations!

Related content

More Information              News              Social Media              Video              Recommended



                Click one of the above tabs to view related content.