ABSTRACT
For most fluid mechanics problems, the geometry of the problem can not be represented by a Cartesian mesh. Instead it is common for the boundaries to be curved in space. Some typical examples are turbine-blade passages, heat-exchangers, combustion chambers, aircrafts, vehicles, mixing vessels, flow around large structures like building, cooling towers, air-conditioning systems. Structured meshes are characterized by regular connectivity, i.e., the points of the grid can be indexed. Structured mesh generation techniques concentrate on meshing domains with irregular boundaries, e.g., flow and heat transfer in turbine blades, flow in blood vessels, flow inside two dimensional (2D) planer channel. When the solution is converged, the discretization equation for other scalar variable like temperature is solved, if the particular variable does not influence the flow field. This chapter discusses a solution procedure for solving 2D Navier-Stokes equations in curvilinear coordinate systems. The readers are encouraged to study the methods for solving three-dimensional Navier-Stokes equations using unstructured grids.
