|
|||||
|
|
|
|
|
|
|
|
A front-tracking
shock-capturing method for two gases
Mehdi Vahab and Gregory H. Miller |
|
Vol. 11 (2016), No. 1, 1–35
|
Abstract |
|
We present a new high-order front-tracking method for hyperbolic systems of conservation laws for two gases separated by a tracked contact discontinuity, using a combination of a high-order Godunov algorithm and level set methods. Our approach discretizes the moving front and gas domains on a Cartesian grid, with control volumes determined by the intersection of the grid with the front. In cut cells, a combination of conservative and nonconservative finite volume quadratures provide small-cell stability. Global conservation is maintained using redistribution. We demonstrate second-order convergence in smooth flow and first-order convergence in the presence of shocks. |
Keywords
sharp interface, front-tracking, finite-volume,
multifluids, irregular geometries, Cartesian grids,
shock-capturing
|
Mathematical Subject Classification 2010
Primary: 65D32, 76T99, 35L04
|
Milestones
Received: 26 December 2013
Revised: 22 April 2015
Accepted: 24 July 2015
Published: 6 November 2015
|
Authors |
| Mehdi Vahab | |
| Department of Mathematics Florida State University Tallahassee, FL 32306 |
|
| Gregory H. Miller | |
| Department of Chemical Engineering
and Materials Science University of California, Davis 1 Shields Avenue Davis, CA 95616 United States |
|
|
