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.
Level of Degree
Physics & Astronomy
First Committee Member (Chair)
George N. White Jr.
Second Committee Member
Third Committee Member
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). http://digitalrepository.unm.edu/phyc_etds/80