Convection Effects in Flows over Cavities of High Aspect Ratio

Zdanski, P. S. B.; Ortega, Marcos; Fico, Nide

doi:10.2514/6.2002-3301

Cited by 4 publications

(5 citation statements)

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“…The number of nodes is 31651 for the entrance region, 816101 for the region of the cavity, and 61651 for the exit region. In this case, the comparisons of the present numerical results are made with another numerical solution [19] using Patankar's SIMPLER algorithm [2]. Figures 8a and 8b show maps of streamlines corresponding to the steady-state mean flow.…”

Section: Simulation Of Incompressible Flows 561mentioning

confidence: 97%

“…The authors have been recently investigating the turbulent flow over high-aspect-ratio cavities [19,20] using Patankar's SIMPLER algorithm [2]. The development of the present method is an important step toward more accurate and easy-to-implement numerical schemes, which will enhance the quality of the numerical analysis.…”

Section: Test Casesmentioning

confidence: 98%

“…As a last example, the turbulent flow over a two-dimensional, high-aspectratio rectangular cavity is simulated. Incompressible flow over cavities has been under investigation by the present authors during the last years [19,20]. The flow over shallow cavities resembles, in a first approximation, the flow over solar energy collectors with wind fences [33].…”

Section: Simulation Of Incompressible Flows 561mentioning

confidence: 99%

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Numerical Simulation of the Incompressible Navier–stokes Equations

Zdanski

Ortega

Fico

2004

Numerical Heat Transfer, Part B: Fundamentals

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A scheme for the numerical simulation of incompressible flows is presented. The modeling equations are written in conservation law form. The algorithm, written in a delta form, is very robust without resorting to any degree of relaxation. The well-known cumbersome numerical implementation related to staggered grids is totally removed. The scheme is second-order-accurate in space and first-order in time. An important novelty is the separation of the pressure terms in the physical equations in a pressure flux, facilitating the tackling of different fluids. The algorithm has been applied to laminar and turbulent flows. The results are truly encouraging.

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Section: Simulation Of Incompressible Flows 561mentioning

confidence: 97%

Section: Test Casesmentioning

confidence: 98%

Section: Simulation Of Incompressible Flows 561mentioning

confidence: 99%

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Numerical Simulation of the Incompressible Navier–stokes Equations

Zdanski

Ortega

Fico

2004

Numerical Heat Transfer, Part B: Fundamentals

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“…Flow over cavities is under investigation by the present authors (Zdanski et al, 2002). The interest comes from research related to solar collectors equipped with wind fences.…”

Section: Test Casesmentioning

confidence: 98%

“…For the Reynolds number investigated, Re h =10630, the outside flow touches and runs along the floor of the cavity. In fact we are mainly interested in cases for which the outside flow does not touch the wall, and in this circumstance the two big bubbles are, say, "encapsulated" (Zdanski et al, 2002). When encapsulated, the bubbles will constitute a kind of thermal insulation.…”

Section: Test Casesmentioning

confidence: 99%

A Novel Algorithm for the Incompressible Navier-Stokes Equations

Zdanski

Ortega

Fico

2003

41st Aerospace Sciences Meeting and Exhibit

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A new scheme for the numerical simulation of incompressible flows is presented. The modeling equations are written in conservation-law form. The solution is advanced in time using the implicit Euler method, space discretization is accomplished through finite central difference expressions and the grid is colocated. Artificial dissipation terms are explicitly added by the user. These terms control numerical instabilities and avoid eventual odd-even decoupling. The scheme proposed solves a Poisson equation for the pressure itself, not for a pressure correction. In the actual format, the scheme is composed of three blocks: the first advances in time, simultaneously, the collection of physical equations, that is, momentum and energy, the second corresponds to the Poisson equation, which is iterated accordingly, and the third advances in time the turbulence equations (a k-ε high-Reynolds traditional model). The algorithm is very robust without resorting to any degree of relaxation, and the well-known cumbersome property related to staggered grids is totally removed. The scheme is second-order accurate in space and first order in time, but this low order in time is of no concern because the ultimate objective is the solution of steady state problems. Another very important novelty is the separation of the pressure terms in the physical equations in a pressure flux, what facilitates the tackling of different fluids. The new algorithm has been applied to the laminar and turbulent flows along a twodimensional duct, as well as to more demanding cases, namely, the lid-driven turbulent cavity, the two-dimensional turbulent internal flows about a backwardfacing step and along a duct with a high aspect ratio cavity located at the floor. The results are truly encouraging.

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