HLLI Universal Riemann Solver for Conservative and Non-Conservative Hyperbolic Systems and its Multidimensional Extensions
| Speaker |
Dinshaw S. Balsara, University of Notre Dame, USA
|
|---|---|
| When |
Dec 21, 2016
from 02:00 PM to 03:00 PM |
| Where | LH 006 |
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Abstract: In recent years we have seen a considerable need to accurately simulate all different types of hyperbolic systems. Usually, one wishes to use higher order Godunov methods for the solution of these systems. While many very useful hyperbolic systems can be cast in strictly conservation form, several very important hyperbolic systems have non-conservative products. We, therefore, need to have an efficient one-dimensional Riemann solver that can treat conservative as well as non-conservative hyperbolic systems within the same framework.
In the first half of this talk I present a simple, highly efficient Riemann solver that operates on conservative as well as non-conservative hyperbolic systems. In the second half of this talk I extend the 1D HLLI Riemann solver to multidimensions.
The present Riemann solvers have been documented in the literature by Dumbser and Balsara (2016) JCP and Balsara and Nkonga (2017) JCP. This work is also described briefly in Appendix C on the author’s website:- http://www.nd.edu/~dbalsara/Numerical-PDE-Course