California State University, Northridge WordmarkOviatt Library WordmarkOviatt Library Catalog Wordmark
Author Euler, Craig, author.
Title The development of efficient techniques for simulating non-continuum gas flows / by Craig Euler.
Published [Northridge, California] : California State University, Northridge, 2013.

 Electronic Book  QA11 .Z95 2013 E95eb    ONLINE
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 76-77).
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 non-continuum flows using model kinetic equations. High order nodal discontinuous Galerkin (DG) discretization in velocity space of the Bhatnagar-Gross-Krook (BGK) and Ellipsoidal-Statistical Bhatnagar-Gross-Krook (ES-BGK) 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