Numerical method for the calculation of traveling wave solutions of a quench front problem
Journal Article
·
· J. Comput. Phys.; (United States)
A numerical method is described for the solution of the following quench front problem: Find u(x,y) and v such that partial/partialxk(u)partialu/partialx+vq(u)partialu/partialx+partial/partialyk(u)/ partialu/partialy = 0, partialu/partialyVertical Bar/sub y/ = 0 = f(u), partialu/partialyVertical Bar/sub y/ = 1 = 0, u(-infinity,y) = 0, u(+infinity,y) = 1. The method is based on the idea of isotherm migration. The resulting problem is an eigenvalue problem for a system of nonlinear Cauchy-Riemann equations. The method is very efficient in comparison with previous methods for this problem.
- Research Organization:
- Theoretical Division, Universtiy of California, Los Alamos Scientific Laboratory, Los Alamos, New Mexico 87545
- OSTI ID:
- 5907955
- Journal Information:
- J. Comput. Phys.; (United States), Journal Name: J. Comput. Phys.; (United States) Vol. 39:2; ISSN JCTPA
- Country of Publication:
- United States
- Language:
- English
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