An analysis of flow over a backward-facing step by an assumed stress mixed finite element method.

C. T. Yang; S. N. Atluri

An analysis of flow over a backward-facing step by an assumed stress mixed finite element method.

Mechanical Engineering

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Abstract

In this paper, a detailed analysis of flow over a backward facing step is presented for two types of outlet boundary conditions (1) traction free and (2) zero vertical velocity and zero horizontal traction, and for Re numbers up to 229. The computational scheme that is used is a mixed finite element method based on 'assumed deviatoric stress, pressure, velocity'. In this model, the final finite element equations involve the nodal velocities and the constant term in the pressure field in each element as unknowns. The convective accleration term is treated via a standard Galerkin scheme. (A)

Original language	English
Title of host publication	Unknown Host Publication Title
Publisher	Pineridge Press Ltd
ISBN (Print)	0906674220, 9780906674222
State	Published - 1983

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AB - In this paper, a detailed analysis of flow over a backward facing step is presented for two types of outlet boundary conditions (1) traction free and (2) zero vertical velocity and zero horizontal traction, and for Re numbers up to 229. The computational scheme that is used is a mixed finite element method based on 'assumed deviatoric stress, pressure, velocity'. In this model, the final finite element equations involve the nodal velocities and the constant term in the pressure field in each element as unknowns. The convective accleration term is treated via a standard Galerkin scheme. (A)

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