We derive a hierarchy of models for gas-liquid two-phase flows in the Limit
of infinite density ratio, when the liquid is assumed to be incompressible
. The starting model. is a system of nonconservative conservation laws with
relaxation. At first order in the density ratio, we get a simplified syste
m with viscosity, while at the Limit we obtain a system of two conservation
laws, the system of pressureless gases with constraint and undetermined pr
essure. Formal properties of this constraint model are provided, and sticky
blocks solutions are introduced. We propose numerical methods for this las
t model, and the results are compared with the two previous models.