An equal-order velocity-pressure formulation that does not exhibit spurious pressure modes

Rice, J.G.; Schnipke, Rita J.

doi:10.1016/0045-7825(86)90093-9

Cited by 84 publications

(23 citation statements)

References 6 publications

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“…These finite element formulations can be classified into three classes based on their approaches to treating the pressure term in the governing equations: Galerkin weighted residuals methods [Taylor and Hughes 1980;Kim, 1987;Zienkiewics et al 19831, penalty methods (Zienkiewics et al 1983;Engelman et al 1982: Kikuchi et al 1984, and velocitypressure segregated methods (Comini and Giudice 1982;Benim and Zinser 1986;Rice and Schnipke 1986).…”

Section: Finite Element Formulationmentioning

confidence: 99%

Optimization of Pleated Filter Designs Using a Finite-Element Numerical Model

Chen

Pui

Liu

1995

Aerosol Science and Technology

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A numerical model has been developed to optimize the design of pleated filter panels. In this model, the fluid flow is modeled by a steady laminar flow and the filter media resistance is governed by the Darcy-LapwoodBrinkman equation. A finite element method with a nine-node Lagrangian element is used to solve the governing equations. For the rectangularly pleated filter panel, the numerical results agree well with the analytical model of Yu and Goulding (1992) and with his experimental data. The pressure drop increases a t small pleat count due to increased media face velocity, and a t large pleat count due to increased viscous drag in the pleat spacings. Therefore, an optimal pleat count for minimum pressure drop exists at a certain pleat height for each filter media type. The optimization of rectangular pleated filters, e.g., mini-pleated filter panels, has been performed for six commercial filter media. The optimal pleat count is shown to increase with decreasing media permeability of the filter media. A generalized correlation curve has been found for the six filter media by using a nondimensional parameter analysis. The results can be used to design pleated filter panels with minimum pressure drop.

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Section: Finite Element Formulationmentioning

confidence: 99%

Optimization of Pleated Filter Designs Using a Finite-Element Numerical Model

Chen

Pui

Liu

1995

Aerosol Science and Technology

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“…In this algorithm even this problem is avoided due to reasons which will be explained subsequently. Even when this is not the case, equal order velocity-pressure formulation has been successfully used by some researchers [9,10]. To compute the elemental integrals the elements are mapped on a 2× 2×2 cube ( Figure 3) in (x, p, n), and the shape functions are…”

Section: Shape Functionsmentioning

confidence: 99%

A numerical study on flow through the spiral casing of a hydraulic turbine

Biswas

Eswaran

Ghai

et al. 1998

Int. J. Numer. Meth. Fluids

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“…This effort as well as the current study uses the algorithm based on the SIMPLER approach reported by Rice and Schnipke. 3 The current study also CCC 0271±2091/97/060615±17 $17.50 Received 22 September 1995 # 1997 John Wiley & Sons, Ltd.…”

Section: Introductionmentioning

confidence: 96%

“…This may be true for non-staggered methods that must satisfy the Brabuska±Brezzi 1 compatibility conditions, but not for the newer algorithms that parallel the SIMPLE-type 2 approach. The works of Rice and Schnipke, 3 Shaw 4 and Comini and Del Giudice 5 develop different algorithms that use equal-order interpolation for the¯ow variables. None of the solutions presented indicated any signs of the decoupling`checkerboard' problem that normally occurs with pressure.…”

Section: Introductionmentioning

confidence: 99%