Comparative Analysis of Numerical Flux Schemes for Simulating Mesoscale Atmospheric Flows using a Finite Volume Framework

The authors develop and implement a density-based approach for the Euler equations to simulate non-hydrostatic atmospheric flows, and compare the accuracy of four different approximate Riemann solvers (Roe-Pike, HLLC, AUSM+-up, and HLLC-AUSM) using two classical benchmarks.