Communications in Mathematical Sciences
Volume 11 (2013)
Analytical solutions for the free surface hydrostatic Euler equations
Pages: 993 – 1010
In this paper we propose a large set of analytical solutions (FRESH-ASSESS) for the hydrostatic incompressible Euler system in 2d and 3d. These solutions mainly concern free surface flows but partially free surface flows are also considered. These analytical solutions can be especially useful for the validation of numerical schemes.
incompressible Euler equations, analytical solutions, free surface flows, entropic shocks
2010 Mathematics Subject Classification
35Q30, 35Q35, 76D05