Publication: Multidimensional HLLC Riemann solver for unstructured meshes – with application to Euler and MHD flows
Multidimensional HLLC Riemann solver for unstructured meshes – with application to Euler and MHD flows
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Balsara, D. S., Dumbser, M., & Abgrall, R. (2014). Multidimensional HLLC Riemann solver for unstructured meshes – with application to Euler and MHD flows. Journal of Computational Physics, 261, 172–208. https://doi.org/10.1016/j.jcp.2013.12.029
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The goal of this paper is to formulate genuinely multidimensional HLL and HLLC Riemann solvers for unstructured meshes by extending our prior papers on the same topic for logically rectangular meshes Balsara (2010, 2012) [4,5]. Such Riemann solvers operate at each vertex of a mesh and accept as an input the set of states that come together at that vertex. The mesh geometry around that vertex is also one of the inputs of the Riemann solver. The outputs are the resolved state and multidimensionally upwinded fluxes in both directions. A
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- Balsara, Dinshaw S
- Dumbser, Michael
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Balsara, D. S., Dumbser, M., & Abgrall, R. (2014). Multidimensional HLLC Riemann solver for unstructured meshes – with application to Euler and MHD flows. Journal of Computational Physics, 261, 172–208. https://doi.org/10.1016/j.jcp.2013.12.029
