On Some High Resolution Schemes for Stably Stratified Fluid Flows

Finite Volumes for Complex Applications VI Problems & Perspectives - Springer Proceedings in Mathematics ◽

10.1007/978-3-642-20671-9_16 ◽

2011 ◽

pp. 145-153 ◽

Cited By ~ 2

Author(s):

Tomáš Bodnár ◽

Luděk Beneš

Keyword(s):

High Resolution ◽

Fluid Flows ◽

Stratified Fluid ◽

High Resolution Schemes

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The Flow of UCM and Oldroyd-B Fluids Past a Cylinder

10.1115/imece2000-2704 ◽

2000 ◽

Author(s):

Manuel A. Alves ◽

Fernando T. Pinho ◽

Paulo J. Oliveira

Keyword(s):

Finite Element Method ◽

Finite Element ◽

High Resolution ◽

Constitutive Equations ◽

Numerical Procedure ◽

Plane Flow ◽

Dependent Variables ◽

High Resolution Schemes ◽

Structured Meshes ◽

Volume Method

Abstract Accurate solutions are obtained with the numerical method of Oliveira et al (1998) for the inertialess plane flow around a confined cylinder. This numerical procedure is based on the finite-volume method in non-orthogonal block-structured meshes with a collocated arrangement of the dependent variables, and makes use of a special interpolation practice to avoid stress-velocity decoupling. Two high-resolution schemes are implemented to represent the convective terms in the constitutive equations for the upper converted Maxwell and Oldroyd-B fluids, and the resulting predictions of the drag coefficient on the cylinder are shown to be as accurate as existing finite-element method predictions based on the very accurate h-p refinement technique.

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The hydraulics of a stratified fluid flowing through a contraction

Journal of Fluid Mechanics ◽

10.1017/s0022112093003441 ◽

1993 ◽

Vol 251 ◽

pp. 355-375 ◽

Cited By ~ 22

Author(s):

Laurence Armi ◽

Richard Williams

Keyword(s):

Flow Rate ◽

Fluid Flows ◽

Stratified Fluid ◽

Wave Mode ◽

Similar Solution ◽

Constant Density ◽

Self Similar Solution ◽

Hydraulic Theory ◽

Self Similar

The steady hydraulics of a continuously stratified fluid flowing from a stagnant reservoir through a horizontal contraction was studied experimentally and theoretically. As the channel narrows, the flow accelerates through a succession of virtual controls, at each of which the flow passes from sub-critical to supercritical with respect to a particular wave mode. When the narrowest section acts as a control, the flow is asymmetric about the narrowest section, supercritical in the divergent section and self- similar throughout the channel. With increased flow rate a new enclosed self-similar solution was found with level isopycnals and velocity uniform with depth. This flow is only symmetric in the immediate neighbourhood of the narrowest section, and in the divergent section remains supercritical with respect to higher internal modes, has separation isopycnals and splits into one or more jets separated by regions of stagnant, constant-density fluid. Flows which are subcritical with respect to lowest modes can also be asymmetric about the narrowest section for higher internal modes. The experiments are interpreted using steady, inviscid hydraulic theory. Solutions require separation isopycnals and regions of stationary, constant-density fluid in the divergent section.

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