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- Kozlov, Vladimir, et al.
(författare)
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Transmission conditions in a one-dimensional model of bifurcating blood vessel with an elastic wall
- 2015
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Ingår i: Zapiski Nauchnykh Seminarov POMI. - : St. Petersburg Department of V. A. Steklov Mathematical Institute, Russian Academy of Sciences. - 0132-6678. ; 438, s. 138-177
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Tidskriftsartikel (övrigt vetenskapligt/konstnärligt)abstract
- We derive transmission conditions at a bifurcation point in a one-dimensional model of blood vessels by using a three-dimensional model. Both classical Kirchhoff conditions ensuring the continuity of pressure and zero flux flow in the node has to be modified in order to reflect properly the elastic properties of blood vessels and the nodes themselves. A simple approximate calculation scheme for the new physical parameters in the transmission conditions is proposed. We develop a simplified model of straight fragments of arteries with localized defects such as lateral micro-aneurysms and cholesterol plaques – these models also require setting transmission conditions.
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- Bobylev, Alexander, 1947-, et al.
(författare)
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Monte-Carlo method for two component plasmas
- 2012
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Ingår i: Matematicheskoe Modelirovanie. - Moskva : Steklov Mathematical Institute, Russian Academy of Sciences. - 0234-0879. ; 24:9, s. 35-49
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Tidskriftsartikel (refereegranskat)abstract
- The new direct simulation method of Monte-Carlo type (DSMC) for Coulomb collisions in the case of two component plasma is considered. A brief literature review and preliminary information concerning the problem are given. Further the idea that lies in the basis of the method is discussed and its scheme is provided. The illustrative numerical simulation of the initial distribution relaxation for one and two sorts of particles in 3D case in the velocity space is performed. Simulation results are compared with the numerical results based on the completely conservative finite difference schemes for the Landau-Fokker-Planck equation. Estimation of calculation accuracy obtained from numerical results is given.
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