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A finite point method for incompressible flow problems. (English) Zbl 1060.76629

Summary: A stabilized finite point method (FPM) for the meshless analysis of incompressible fluid flow problems is presented. The stabilization approach is based in the finite increment calculus (FIC) procedure developed by E. Oñate [Comput. Methods Appl. Mech. Eng. 151, No. 1-2, 233–265 (1998; Zbl 0916.76060)]. An enhanced fractional step procedure allowing the semi-implicit numerical solution of incompressible fluids using the FPM is described. Examples of application of the stabilized FPM to the solution of two incompressible flow problems are presented.

MSC:

76M25 Other numerical methods (fluid mechanics) (MSC2010)
76B99 Incompressible inviscid fluids

Citations:

Zbl 0916.76060
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