APPLICATIONS: Mathematics

Chrage transfer processes in proton-helium collisions


Galstian Alexander
Moscow State Uiversity

DRIVER: In collaboration with German experimentalists a row of articles on charge transfer processes in proton-helium collisions was prepared for publication. In these collisions helium ion can appear in different quantum states. Different wave function models and perturbations theory approximations are discussed, including the second Born one.

STRATEGY: Cross section evaluation using Born approximation.

OBJECTIVE: Explanation of the experimental data using different process mechanisms; different mechanism’s contribution to the cross section evaluation.

IMPACT: t is shown that the scattering of the backward emitted electrons with small scattering angles arises almost due to shake-off processes. The first Born approximation with helium wave function with strong electron-electron correlations is quite good to understand the scattering of electrons backward, but is insufficient to explain the forward scattering.

USAGE: Atomic ionization

AREA: Theoretical Physics, Mathematics



Simulation of complex turbulent flows using unstructured meshes


Duben Aleksey
Keldysh Institute of Applied Mathematics of RAS

DRIVER: Numerical investigation of aerodynamic and aeroacoustic charateristics of bluff aircraft elements and complex turbulent flows, design of better noise prediction tools for development of quieter aircrafts

STRATEGY: Providing computational experiments on different configurations, comparison experimental and numerical data, identification of optimal configurations in aerodynamic and aeroacoustic characteristics, design of better noise prediction tools for development of quieter aircrafts

OBJECTIVE: Investigation and improvement of aerodynamic and aeroacoustic characteristics of aircraft elements and complex turbulent flows; improvement, create more accurate and efficient and detailed experimental validation of numerical methods and noise prediction tools.

IMPACT: Improvement of aircraft aerodynamic characteristics; reduce of airframe noise in near and far field; efficient, accurate numerical methods and noise prediction tools.

USAGE: Aircraft industry; computational mathematics; computer science.

AREA: Aerophysics, Mathematics



3D simulations of high temperature radiative plasmas


Olkhovskaia Olga
Keldysh Institute of Applied Mathematics of RAS

DRIVER: Development of a scientific research code for high performance computing in the field of two-temperature raditive magnetohydrodynamics with dissipation in 3D complex geometry

STRATEGY: HPC numerical simulations

OBJECTIVE: Numerical and theoretical support of experiments in nuclear fusion, plasma technologies, intense radiation sources, and astrophysics

IMPACT: Solving important problems in development of prospective energy sources

USAGE: Controlled nuclear fusion, pulsed power, laser-plasma technology - computational fluid dynamics

AREA: Mathematics, Informatics, Plasma Physics



Ultrasound tomography in medicine


Romanov Sergey
Moscow State Uiversity

DRIVER: Non-destructive investigation of the internal structure of the object

STRATEGY: Solution of three-dimensional nonlinear coefficient inverse problems for wave equations on supercomputers

OBJECTIVE: Study of the internal structure of the object by wave sounding with super resolution

IMPACT: Break-throw technology of computer aided non-destructive diagnostics with wave soundin

USAGE: Ultrasound tomography in medicine, wave sounding of the surface layers of the Earth, industrial tomography

AREA: Algorithm and Software Development, Mathematics



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