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Shock formation properties of continuum and kinetic models


Please use this identifier to cite or link to this item: http://hdl.handle.net/1928/9810

Shock formation properties of continuum and kinetic models

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dc.contributor.author Cherepanov, Pavlo
dc.date.accessioned 2009-08-27T21:03:36Z
dc.date.available 2009-08-27T21:03:36Z
dc.date.issued 2009-08-27T21:03:36Z
dc.date.submitted July 2009
dc.identifier.uri http://hdl.handle.net/1928/9810
dc.description.abstract Continuum mechanics and kinetic theory are two mathematical theories with fundamentally different approaches to the same physical phenomenon. Continuum mechanics together with thermodynamics treat a substance (a gas or a fluid) as a continuous medium and describes the evolution of its macro characteristics via application of the conservation laws to small packets of the substance. Kinetic theory attempts to describe the evolution of the macro parameters by treating a substance as a family of colliding objects. The number of objects must be large enough so a statistical approach can be taken. In this work we introduce a numerical scheme to solve 1-D Bhatnagar-Gross-Krook model equations and examine the formation of a stationary viscous shock. Obtained results are compared to a stationary numerical solution of 1-D Navier-Stokes equation with a similar set of shock forming conditions. en_US
dc.language.iso en_US en_US
dc.subject Kinetic Theory en_US
dc.subject Fluid Dynamics en_US
dc.subject.lcsh Shock waves--Mathematical models.
dc.subject.lcsh Viscous flow--Mathematical models.
dc.subject.lcsh Gas dynamics--Mathematical models.
dc.subject.lcsh Navier-Stokes equations--Numerical solutions.
dc.title Shock formation properties of continuum and kinetic models en_US
dc.type Dissertation en_US
dc.description.degree Mathematics en_US
dc.description.level Doctoral en_US
dc.description.department University of New Mexico. Dept. of Mathematics and Statistics en_US
dc.description.advisor Lorenz, Jens
dc.description.committee-member Embid, Pedro
dc.description.committee-member Hayat, Majeed
dc.description.committee-member Pereyra, Cristina

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