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Computer package “Nesvetay”
for modeling of gas flows

       “Nesvetay” is a Fortran-90 library of codes, which realize modern Godunov-type methods to solve various two- and three-dimensional equations of fluid motion in arbitrary domains. The key idea is to share the key elements such as mesh handling, advection schemes and parallelization across various solvers. At present, the software solves compressible Euler and multiphase equations as well as the Boltzmann kinetic equations with various model collision integrals: BGK, S-model of E. M. Shakhov, R-model of V. A. Rykov.

       The library has been under development by Dr Titarev since 2006 and consists of two parts.

       “Nesvetay-2D” contains modules to solve linear advection equations, compressible Euler equations as well as various model kinetic equations on mixed-element unstructured meshes in two space dimensions.

       Main features include:

       “Nesvetay-3D” contains modules to solve linear advection equations, compressible Euler equations as well as various model kinetic equations (BGK, Shakhov, Rykov models) on mixed-element unstructured meshes in three space dimensions.

       Main features include:

       The implemented kinetic solver offers the following advantages over the existing state-of-the art methods and codes:

       Key publications:

  1. V. Titarev, M. Dumbser and S. Utyuzhnikov. Construction and comparison of parallel implicit kinetic solvers in three spatial dimensions // J. Comp. Phys. 2014. V. 256, p. 17-33.
  2. V.A. Titarev, Direct numerical solution of model kinetic equations for flows in arbitrary three-dimensional geometries // Rarefied Gas Dynamics. 2012. Proc. 28th Int. Symp., AIP Conf. Proc. 1501, p. 262-271.
  3. V. A. Titarev and E. M. Shakhov. Computational study of a rarefied gas flow through a long circular pipe into vacuum // Vacuum, Special Issue ``Vacuum Gas Dynamics'', 2012. V. 81, N. 11, p. 1709-1716.
  4. V. A. Titarev. Efficient deterministic modelling of three-dimensional rarefied gas flows // Communications in Computational Physics. 2012. V. 12, , N 1 pp. 162-192.
  5. P. Tsoutsanis, V. A. Titarev and D. Drikakis. WENO schemes on arbitrary mixed-element unstructured meshes in three space dimensions // Journal of Computational Physics, 2011. V. 230, pp. 1585 – 1601.
  6. V. A. Titarev. Implicit unstructured-mesh method for calculating Poiseuille flows of rarefied gas // Communications in Computational Physics. 2010. V. 8, No. 2, pp. 427 – 444.
  7. M. Dumbser, M. Käser, V. A. Titarev and E. F. Toro. Quadrature-free non-oscillatory finite volume schemes on unstructured meshes for nonlinear hyperbolic systems // Journal of Computational Physics. 2007. V. 221, No. 2, pp. 693 – 723.
  8. V. A. Titarev. Conservative numerical methods for model kinetic equations // Computers and Fluids, 2007. V. 36, No. 9, pp. 1446 – 1459.

The page is allocated at December 20, 2011.
Last Revised: July 16, 2014.