The motivation for this paper is to predict the flow of water over exterior surfaces of road vehicles. This paper presents simulations of liquid flows on solid surfaces using an implementation of a Coupled Level-Set Volume of Fluid method (CLSVOF) multiphase approach implemented in the open source OpenFOAM CFD code. The approach uses an unstructured mesh allowing complex geometries to be modelled and includes a range of dynamic contact angle models as the boundary conditions for the VOF and LS at the surface. The methodology has been validated against a number of test cases such as drop behaviour impacting on a solid surface in previous work. In the current paper the suitability of the approach to exterior water management is demonstrated using representative test cases; for example the flow of a continuous liquid rivulet along an inclined surface with a channel located downstream perpendicular to the oncoming flow and the flow of surface films under the effects of gravity and an external airflow. The simulations involve both laminar and turbulent flows over the liquid film. For the turbulent case, Large Eddy Simulation (LES) is used with the Smagorinsky subgrid-scale model. The measurements of the liquid/solid characteristics such as equilibrium and dynamic contact angles are described along with the analytical expression for contact angle vs. capillary number used in the CFD code. The results from the simulations are compared to experimental measurements.