A Global Time Treatment For Solving Partial Integro-differential Equations Of Radiative Transport
Price
Free (open access)
Transaction
Volume
16
Pages
10
Published
1997
Size
821 kb
Paper DOI
10.2495/BT970371
Copyright
WIT Press
Author(s)
G.E. Osborne & J.I. Frankel
Abstract
A new nonmarching time treatment is presented for the solution of nonlin- ear weakly-singular, partial integro-differential equations of the type that appear in transient, conductive and radiative transport. While conven- tional methods utilize time-marching schemes for the numerical analysis of transient problems, the present concept simultaneously resolves the entire space-time domain. As a means of demonstration, the problem of transient cooling in an absorbing-emitting participating medium is ex- amined. This model serves as an excellent example since it illustrates the methodology and its salient features without undue complication to ei- ther the physics or mathematics. The original mathematical descripti
Keywords
