A Conservative Front Tracking Algorithm
Name
HPCES002.pdf
Size
280.23 KB
Format
Adobe PDF
Checksum (MD5)
8f30a9b6e2d019ad25903c9f6709c411
Author(s)
Nguyen, Vinh Tan
Khoo, Boo Cheong
Peraire, Jaime
Date Issued
January 2005
Series/Report no.
High Performance Computation for Engineered Systems (HPCES);
Abstract
The discontinuities in the solutions of systems of conservation laws are widely considered as one of the difficulties in numerical simulation. A numerical method is proposed for solving these partial differential equations with discontinuities in the solution. The method is able to track these sharp discontinuities or interfaces while still fully maintain the conservation property. The motion of the front is obtained by solving a Riemann problem based on the state values at its both sides which are reconstructed by using weighted essentially non oscillatory (WENO) scheme. The propagation of the front is coupled with the evaluation of "dynamic" numerical fluxes. Some numerical tests in 1D and preliminary results in 2D are presented.
Subjects
conservative front tracking
conservative tracking in 2D
partial differential equations
numerical methods
laws of conservation
Persistent DSpace Link
