A multi-parameter family of optimal Euler preconditioners are explored. This uncovers the link between the various matrices derived by Van Leer et al. and Turkel, and also presents an attempt to derive more effective matrices. The preconditioning technique, which is based on a difference scheme rather than on partial differential equations, is extended from the Euler equations to the Navier-Stokes equations for any cell Reynolds numbers. Some numerical results demonstrate that Navier-Stokes preconditioning speeds up the calculations even for low cell Reynolds numbers. 2. Extending the Euler preconditioning technique for use with the Navier-Stokes equations at any cell-Reynolds number. This includes handling cells with high aspect ratio.
These data are the first to demonstrate that VEGF and NO may play an important role in the development of pterygium and to identify VEGF and NO in the epithelium of pterygium. We hypothesize that environmental stress, such as ultraviolet irradiation and local inflammation stimulate the elaboration of NO and VEGF, resulting in the conjunctival fibrovascular ingrowth characteristic of pterygium.
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