Tatiana G. ELIZAROVA
Doctor of Physical and Mathematical Sciences
Keldysh Institute ofApplied mathematics
Russian Academy of Sciences
Phone: +7 (499) 978 13 14
Fax: +7 (499) 972-07-37
Field of research
Round table - seminar
April 16, 2021
Quasi-gasdynamic (QGD) equations:
past, present and future
This monograph is devoted to contemporary mathematical models of gas and liquid dynamics and to the related numerical methods for compressible and incompressible flow simulations.
We consider two related mathematical models that generalize the Navier-Stokes system of equations. Both models are different from the Navier-Stokes system in additional dissipative terms with a small parameter. The new models are named quasi-gasdynamic and quasi-hydrodynamic systems of equations. Basing on these models we construct new robust algorithms for non-stationary viscous flow and demonstrate numerical examples of flow simulation.
Universality, efficiency and accuracy of these algorithms are provided by validity of conservation laws and entropy balance for the described models.
The book is intended for scientific researchers and engineers engaged in the construction of numerical algorithms and practical computations of gas flows. It will be also useful for graduate and postgraduate students that specialize in numerical gas and liquid dynamics.
T.G. Elizarova, I.A. Shirokov
Regularized equations and examples of their use in the modeling of gas-dynamic flows
Download the book as a PDF-file .
Results of the application of regularized, or quasi-gas dynamic (QGD) equations in problems of numerical modeling of subsonic and supersonic flows of a viscous compressible gas are presented. The variants of the discontinuities decay and free and bounded turbulent flows at low Reynolds numbers are considered. The special form of the QGD dissipation makes it possible to model all these gas dynamic flows uniformly.
Moscow, MAKS press, 2017. 136 pages