Talk by Boniface Nkonga
Posted on: 02 Sep 2025
Title: Multi-D HLL Riemann solver: Derivation based on auto-similarity change of variable
Speaker: Boniface Nkonga (Univ. Cote d’Azur, JAD, CNRS, INRIA Sophia-Antipolis)
Date: Thursday, 4 September 2025
Time: 11:00 AM
Venue: Ground floor auditorium, TIFR-CAM
Abstract: We consider a conservative hyperbolic system of dimension 1, 2, and 3. The presentation aims to use a change of variable to recover the well-known 1D HLL Riemann solver. Therefore, we propose a 2D and 3D generalisation of the HLL scheme. The presentation resumes the results of the following published papers.
- Multidimensional Riemann problem with self-similar internal structure–part III–a multidimensional analogue of the HLLI Riemann solver for conservative hyperbolic systems. DS Balsara, B Nkonga, J. Comp. Phys. 2017.
- A simple two-dimensional extension of the HLL Riemann solver for hyperbolic systems of conservation laws. J. Vides, B. Nkonga, E. Audit, J. Comp. Phys. 2015.
- A two-dimensional HLLC Riemann solver for conservation laws: Application to Euler and magnetohydrodynamic flows. DS Balsara, J. Comp. Phys. 2012.