%0 Conference Paper %1 citeulike:4211537 %A Sethian, J. A. %B Variational Methods for Free Surface Interfaces, Proceedings of the Sept, 1985 Vallambrosa Conference %C New York %D 1987 %E Concus, P. %E Finn, R. %I Springer %K 76m25-other-numerical-methods-in-fluid-mechanics 53a05-surfaces-in-euclidean-space 35l65-hyperbolic-conservation-laws 35k55-nonlinear-pde-of-parabolic-type %T Numerical Methods for Propagating Fronts %X In many physical problems, a key aspect is the motion of a propagating front separating two components. As fundamental as this may be, the development of a numerical algorithm to accurately track the moving front is difficult. In this report, we describe some previous theoretical and numerical work. We begin with two examples to motivate the problem, followed by some analytical results. These theoretical results are then used as a foundation for two different types of numerical schemes. Finally, we describe the application of one of these schemes to our work in combustion.

@inproceedings{citeulike:4211537, abstract = {{In many physical problems, a key aspect is the motion of a propagating front separating two components. As fundamental as this may be, the development of a numerical algorithm to accurately track the moving front is difficult. In this report, we describe some previous theoretical and numerical work. We begin with two examples to motivate the problem, followed by some analytical results. These theoretical results are then used as a foundation for two different types of numerical schemes. Finally, we describe the application of one of these schemes to our work in combustion.}}, added-at = {2017-06-29T07:13:07.000+0200}, address = {New York}, author = {Sethian, J. A.}, biburl = {https://www.bibsonomy.org/bibtex/2a12ad03be0f1f7b5ccab6d8f4bf95a1f/gdmcbain}, booktitle = {Variational Methods for Free Surface Interfaces, Proceedings of the Sept, 1985 Vallambrosa Conference}, citeulike-article-id = {4211537}, citeulike-attachment-1 = {sethian_87_numerical_33454.pdf; /pdf/user/gdmcbain/article/4211537/33454/sethian_87_numerical_33454.pdf; 96a0ceda7ed7bc5ddbfd14eb424980bc36034e34}, comment = {(private-note)Cited by Adalsteinsson \& Sethian (1995a) `Thus, the derivative of the Hamilton--Jacobi equation with parabolic right-hand-side for the changing height phi is a viscous hyperbolic conservation law for the propagating slope u (see \~{})'.}, editor = {Concus, P. and Finn, R.}, file = {sethian_87_numerical_33454.pdf}, interhash = {304729668c5f2e87f237eb5ffce22262}, intrahash = {a12ad03be0f1f7b5ccab6d8f4bf95a1f}, keywords = {76m25-other-numerical-methods-in-fluid-mechanics 53a05-surfaces-in-euclidean-space 35l65-hyperbolic-conservation-laws 35k55-nonlinear-pde-of-parabolic-type}, posted-at = {2009-03-23 22:38:27}, priority = {2}, publisher = {Springer}, timestamp = {2020-01-08T23:56:23.000+0100}, title = {{Numerical Methods for Propagating Fronts}}, year = 1987 }