Papers by Evgenii Vorozhtsov
Computers & Fluids, Mar 1, 1981
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Akademiia Nauk SSSR Doklady, Mar 1, 1976
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Computers & Fluids, Mar 1, 1981
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Vyčislitelʹnye metody i programmirovanie, Jan 20, 2019
Вычислительные методы и программирование, Jun 26, 2013
Lecture Notes in Computer Science, 2021
Energy and Power Engineering, 2010
Birkhäuser Boston eBooks, 1999
ABSTRACT This chapter deals with incompressible ideal fluid flows. While choosing the material, t... more ABSTRACT This chapter deals with incompressible ideal fluid flows. While choosing the material, the authors aimed at presenting those reults that have now become the classical results and are widely used in the current research work of the aerohydrodynamicists1-9. In particular, the Bernoulli and Lagrange integrals are derived in Section 4.1. They enable one to find the pressure distribution in the fluid from a given velocity field.
Birkhäuser Boston eBooks, 1999
In this chapter, we consider the similarity and dimensional methods, including the construction o... more In this chapter, we consider the similarity and dimensional methods, including the construction of self-similar solutions. We also present the theory of weak discontinuities (the characteristics) and strong discontinuities (shock waves and tangential discontinuities).
International Journal for Numerical Methods in Fluids, May 1, 1984
We consider a problem on shock wave localization in the numerical solution of one‐dimensional uns... more We consider a problem on shock wave localization in the numerical solution of one‐dimensional unsteady problems of gas dynamics in Eulerian variables obtained on the basis of finite difference shock‐capturing schemes. An optimization method for strong discontinuity localization proposed previously by Miranker and Pironneau is investigated by means of methods of classical variational calculus. This method may be difficult to implement when the entropy condition is included in the formulation of Miranker and Pironneau's optimization problem as an active constraint. In this connection we suggest an alternative optimization problem using artificial viscosity in the variational principle. It is shown theoretically that the application of such a variational principle yields a trajectory which coincides with the true discontinuity trajectory in the case of a shock wave moving at a constant speed. On the basis of this modification one more algorithm is proposed which reduces the shock localization problem to a problem of minimization of a univariate function. Numerical tests corroborate completely the theoretical conclusions. In particular, a higher shock localization accuracy is obtained on the basis of the proposed algorithms as compared to the original Miranker‐Pironneau method.
Journal of Mining Science, Mar 1, 1973
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Papers by Evgenii Vorozhtsov