A numerical approach to solving an inverse parabolic problem using finite differential method
Year: 2008
Journal of Information and Computing Science, Vol. 3 (2008), Iss. 3 : pp. 215–224
Abstract
Runge-Kutta discontinuous Galerkin (RKDG) finite element method for hyperbolic conservation laws is a high order method, which can handle complicated geometries flexibly and treat boundary conditions easily. In this paper, we propose a new numerical method for treating interface using the advantages of RKDG finite element method. We use level set method to track the moving interface. In every time step, a Riemann problem at the interface is defined. The two cells adjacent to the interface are computed using the Riemann problem solver. If the interface crosses a cell in the next time step, the values of the flow variables of the cell crossed are modified through linear interpolation. Othewise, we do nothing.
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2024-JICS-22770
Journal of Information and Computing Science, Vol. 3 (2008), Iss. 3 : pp. 215–224
Published online: 2008-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 10