RIEMANN
Multidimensional HLLE Riemann solver: application to Euler and magnetohydrodynamic flows... We also focus on the construction of multidimensionally upwinded electric fields for divergence-free magnetohydrodynamical (MHD) flows. A robust and efficient second order accurate numerical scheme for two and three-dimensional Euler and MHD flows is presented. The scheme is built on the current multidimensional Riemann solver and has been implemented in the authorâ€™s RIEMANN code. The number of zones updated per second by this scheme on a modern processor is shown to be cost-competitive with schemes that are based on a one-dimensional Riemann solver. However, the present scheme permits larger timesteps...
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References in zbMATH (referenced in 9 articles )
Showing results 1 to 9 of 9.
Sorted by year (- Boscheri, Walter; Dumbser, Michael: An efficient quadrature-free formulation for high order arbitrary-Lagrangian-Eulerian ADER-WENO finite volume schemes on unstructured meshes (2016)
- del Razo, M.J.; Morofuji, Y.; Meabon, J.S.; Huber, B.R.; Peskind, E.R.; Banks, W.A.; Mourad, P.D.; LeVeque, R.J.; Cook, D.G.: Computational and in vitro studies of blast-induced blood-brain barrier disruption (2016)
- Maruthi, N.H.; Raghurama Rao, S.V.: An entropy stable central solver for Euler equations (2015)
- Balsara, Dinshaw S.; Meyer, Chad; Dumbser, Michael; Du, Huijing; Xu, Zhiliang: Efficient implementation of ADER schemes for Euler and magnetohydrodynamical flows on structured meshes -- speed comparisons with Runge-Kutta methods (2013)
- Dumbser, Michael; Boscheri, Walter: High-order unstructured Lagrangian one-step WENO finite volume schemes for non-conservative hyperbolic systems: applications to compressible multi-phase flows (2013)
- Balsara, Dinshaw S.: A two-dimensional HLLC Riemann solver for conservation laws: application to Euler and magnetohydrodynamic flows (2012)
- Capdeville, G.: A multi-dimensional HLL-Riemann solver for Euler equations of gas dynamics (2011)
- Capdeville, G.: A high-order multi-dimensional HLL-Riemann solver for non-linear Euler equations (2011)
- Balsara, Dinshaw S.: Multidimensional HLLE Riemann solver: application to Euler and magnetohydrodynamic flows (2010)