Multi-D HLL Riemann solver: Derivation based on auto-similarity change of variable.

Boniface Nkonga (Univ. Cote d’Azur, JAD, CNRS, INRIA Sophia-Antipolis)

Speaker	Boniface Nkonga (Univ. Cote d’Azur, JAD, CNRS, INRIA Sophia-Antipolis)
When	Sep 04, 2025 from 11:00 AM to 12:00 PM
Where	LH-006, Ground Floor (Hybrid)
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SEMINAR TALK

Title: Multi-D HLL Riemann solver: Derivation based on auto-similarity change of variable.

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.

[1] 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.

[2] 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.

[3] A two-dimensional HLLC Riemann solver for conservation laws: Application to Euler and magnetohydrodynamic flows.
DS Balsara, J. Comp. Phys. 2012.

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