Above: the pressure fields on the sails and streamlines in way of PRB’s Code 0… using K-FSI-RANS a simplified hull form is added to capture the end-plate effect of the deck on the lower portion of the sails. Here the Code 0 sheet could be eased to reduce the flow recirculation aft of the foot of the sail. Capturing flow separation and recirculation behaviour accurately is only possible with CFD based simulation approaches.When Michel Desjoyeaux won the 2008 Vendée Globe at a canter (left), after restarting days after the fleet, most eyes focused on an innovative Farr Imoca and above all a brilliant skipper. What others saw, however, was how far ahead Desjoyeaux was with his Incidence wardrobe – particularly his downwind sails which were a step ahead of anything else that year
modelling of the fibre layout permits the designer to optimise the fibre placement to produce a light but durable sail. Such an optimisation process is only possible by seamless interoperability between the sail CAD model in SailPack and the structure model constructed for K-Struct. The visu- alisation of the analysis results is simplified by directly viewing them in SailPack such that a flying shape can easily be compared to both the moulded shape and prior flying shapes of other candidate designs. But modelling the structure is not
enough, as it is the loads acting on the structure that deform it and, in any case, it is the generation of aerodynamic forces that is the purpose of the sails. To compute the aerodynamic problem two distinct options are available. In the first method the equations of fluid
motion are simplified to what is known as potential flow. Panel codes solve the potential flow problem by partitioning one or more sails into discrete panels for which the influence of the wake and all other panels is computed. Panel codes have the distinct advantage of being very quick to compute a flow solution, taking only a few seconds to run on an ordinary computer. K-FSI-inviscid, also developed by K-
Epsilon, computes the inviscid flow solution and then transmits the resulting pressure distribution to K-Struct. The sails and rig deform under the influence of the pressure field and the resulting displacements are then passed back to K-FSI-inviscid.
The circular process of computing the
fluid and then the structure while updating the flying shape is continued until the sails converge to a final flying shape, all in a mat- ter of seconds. This rapidity is perhaps the main reason panel codes have enjoyed such widespread use by sail designers as they can naturally be incorporated into the design process for relatively modest financial out- lay. The combined solution of K-FSI-invis- cid and SailPack was developed over five years ago and is used for upwind sail analy- sis by a number of sailmakers including Incidence, Doyle, Quantum and One Sails. An inherent assumption of potential
flow is that the fluid is inviscid – that is to say that the effect of viscosity is neglected. This assumption is both one of the reasons why panel codes are so rapid and the cause of their greatest deficit: the inability to capture flow separation. In a potential flow solution we must
impose the point on the sail at which the flow leaves it, at the leech, head and foot. Imposing the point of flow detachment like this is reasonable when the flow really does do this, as is the case sailing upwind. Even then care must be taken not to over- trim the sails as the flow at the luff will stay attached regardless of whether this is physically realistic. Unfortunately, for other points of sail the flow may separate at points other than the edges, making a potential flow solution unsuitable. To capture flow separation now a viscous flow solution is necessary. Compu-
tational fluid dynamics (CFD) divides the space surrounding the sails into small vol- umes, or ‘cells’, in a mesh in order to solve the equations of fluid motion. The resulting fluid solution includes all the complexities of a real fluid and hence can account for both flow separation and effects like blan- keting of a large headsail by the mainsail. So if CFD is the perfect tool for assess-
ing downwind sails and is just as capable for upwind sails, why isn’t every sail designer using it? Three obstacles have inhibited it from becoming the tool of choice in sail aerodynamics: difficulty, nec- essary expertise and cost. First, recall that sails are flexible struc-
tures whose flying shapes can be quite dif- ferent from their original moulded shape. When the sails deform the cells in the volume mesh surrounding them must be deformed to follow the sails, while remain- ing of good quality and resolution to ensure the accuracy and stability of the computa- tion. This is challenging as sails like spin- nakers can undergo very large changes to their shape; specialised tools are needed to both transfer the fluid loads to the sail struc- ture model and then deform the fluid mesh once the sail’s deformation is computed. Constructing meshes and running CFD
software have traditionally required both significant engineering time and specialised expertise. While great progress has been made to simplify the process, having a sail designer performing this process takes them away from doing what they are
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