Skip to content. | Skip to navigation

Personal tools

Theme for TIFR Centre For Applicable Mathematics, Bangalore

Navigation

You are here: Home / Events / HLLI Universal Riemann Solver for Conservative and Non-Conservative Hyperbolic Systems and its Multidimensional Extensions

HLLI Universal Riemann Solver for Conservative and Non-Conservative Hyperbolic Systems and its Multidimensional Extensions

Dinshaw S. Balsara, University of Notre Dame, USA
Speaker
Dinshaw S. Balsara, University of Notre Dame, USA
When Dec 21, 2016
from 02:00 PM to 03:00 PM
Where LH 006
Add event to calendar vCal
iCal

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

Filed under: