Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10357147 | Journal of Computational Physics | 2009 | 18 Pages |
Abstract
A particle scheme for scalar conservation laws in one space dimension is presented. Particles representing the solution are moved according to their characteristic velocities. Particle interaction is resolved locally, satisfying exact conservation of area. Shocks stay sharp and propagate at correct speeds, while rarefaction waves are created where appropriate. The method is variation diminishing, entropy decreasing, exactly conservative, and has no numerical dissipation away from shocks. Solutions, including the location of shocks, are approximated with second order accuracy. Source terms can be included. The method is compared to CLAWPACK in various examples, and found to yield a comparable or better accuracy for similar resolutions.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Yossi Farjoun, Benjamin Seibold,