Three-dimensional incompressible flow calculations using the characteristic based split (CBS) scheme. (English) Zbl 1067.76572

Nithiarasu, P.; Mathur, J. S.; Weatherill, N. P.; Morgan, K.

Int. J. Numer. Methods Fluids 44, No. 11, 1207-1229 (2004).

Summary: The characteristic based split scheme is employed for the solution of three-dimensional incompressible viscous flow problems on unstructured meshes. Many algorithm related issues are discussed. Fully explicit and semi-implicit forms of the scheme are explained and employed in the calculation of both isothermal and nonisothermal incompressible flows simulation. The extension of the scheme to porous medium flows is also demonstrated with relevant examples.

MSC:

76M10	Finite element methods applied to problems in fluid mechanics
76D05	Navier-Stokes equations for incompressible viscous fluids
76S05	Flows in porous media; filtration; seepage

Keywords:

CBS scheme; explicit; semi-implicit; incompressible flow; porous media flow; artificial compressibility; velocity correction