In this chapter time-split methods will be described that are equally effective in physical coordinates or in generalized coordinates. The motivation for developing these techniques is provided by the need to obtain, efficiently, steady-state solutions to separating viscous flows under both incompressible and compressible conditions. For flows characterized by high Reynolds numbers there is a choice between directly solving the steady equations of motion and obtaining the steady solution as the 'end-point' of a transient formulation. Directly solving the equations requires a large main memory to avoid the computationally expensive repeated data transfer to and from secondary storage; this is no longer a major problem. More serious is the requirement that the starting solution is close, in some sense, to the (unknown) converged solution, if a Newton or quasi-Newton method is used.
|Title of host publication||Finite elements in fluids|
|Editors||Richard H. Gallagher|
|Place of Publication||New York|
|Publisher||John Wiley & Sons|
|Number of pages||19|
|ISBN (Print)||047190676X, 9780471906766|
|Publication status||Published - 1985|