Description 
1 online resource (vi, 77 pages) : illustrations. 
Content Type 
text 

still image 
Format 
online resource 
File Characteristics 
text file PDF 
Thesis 
M.S. California State University, Northridge 2013. 
Bibliography 
Includes bibliographical references (pages 7677). 
Note 
Description based on online resource; title from PDF title page (viewed on Aug. 7, 2013). 
Summary 
This thesis is concerned with the development of efficient techniques for simulating noncontinuum flows using model kinetic equations. High order nodal discontinuous Galerkin (DG) discretization in velocity space of the BhatnagarGrossKrook (BGK) and EllipsoidalStatistical BhatnagarGrossKrook (ESBGK) model kinetic equations are developed and implemented. The spatial and temporal discretization are implemented on the basis of the CLAWPACK software which is extended to solve the kinetic model equations. The author performs numerical simulations of the heat transfer and the normal shock wave problems. Accuracy of the numerical solutions in satisfying the conservation laws is assessed. The author confirms that the solutions exhibit the expected order of convergence. In the problem of the normal shock wave the obtained numerical solutions are compared to experimental data. In the second part of the thesis, the problem of spatially homogeneous relaxation is considered. For this problem, a new conservative BGK model with velocity dependent collision frequency is designed. With the new model, one achieves the correct relaxation rates for a selected group of moments. The correct rates are obtained by solving the Boltzmann equation deterministically at the initial time step. 
Subject 
Gas flow.


Kinetic theory of gases.


Galerkin methods.

Local Subject 
Dissertations, Academic  CSUN  Mathematics.

OCLC number 
855545339 
