Riemann solvers

Numerical assessments of high-order accurate shock capturing schemes: Kelvin–Helmholtz type vortical structures in high-resolutions
WENO schemes with Roe solver are more accurate than all other methods tested. High-order numerical techniques are required to capture small-scale vortical flow structures.
Omer San, Kursat Kara
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Numerical assessments of high-order accurate shock capturing schemes: Kelvin–Helmholtz type vortical structures in high-resolutions