A Proposal for the Use of the Method of Characteristics as a Condition on the Numerical Solutions of Two-Dimensional Lagrangian Isentropic Flow

Author

Christian D. Anderson

Publication Date

1961

Abstract

The method of characteristics has been widely used in two- dimensional problems (i.e., one spatial dimension and time or two spatial dimensions for the steady state), and it was felt that this method, in all or part, could be applied to time-dependent, two- space hydrodynamics.

In this paper we have done the following:

1. Derived the two-dimensional, time-dependent, nonviscous Lagrangian Equations;

2. Discussed, in general, some aspects of the method of characteristics;

3. Applied the method to our Lagrangian equations; and finally,

4. Proposed a possible application of our results to the numerical solution of the Lagrangian equations.

In general, Sections I and II are devoted to the restatement of the material in the references, while Sections III and IV contain the new results.

Degree Name

Physics

Level of Degree

Masters

Department Name

Physics & Astronomy

First Committee Member (Chair)

George N. White Jr.

Second Committee Member

N/A

Third Committee Member

N/A

Language

English

Document Type

Thesis

Recommended Citation

Anderson, Christian D.. "A Proposal for the Use of the Method of Characteristics as a Condition on the Numerical Solutions of Two-Dimensional Lagrangian Isentropic Flow." (1961). https://digitalrepository.unm.edu/phyc_etds/80