REDUCED ORDER MODELING OF UNSTEADY TWO­PHASE FLOWS USING PROPER ORTHOGONAL DECOMPOSITION METHOD

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SHEKARI YOUNES; HAJIDAVALLOO EBRAHIM; BEHBAHANI NEJAD MORTEZA; SHABANI MOHSEN

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Journal: Modares Mechanical Engineering Year:2015 | Volume:14 | Issue:1 Page(s): 189-196

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Title

REDUCED ORDER MODELING OF UNSTEADY TWOPHASE FLOWS USING PROPER ORTHOGONAL DECOMPOSITION METHOD

Author(s)

SHEKARI YOUNES | HAJIDAVALLOO EBRAHIM | BEHBAHANI NEJAD MORTEZA | SHABANI MOHSEN | Issue Writer Certificate

Keywords

TWO-FLUID MODELQ2

FOUR-EQUATION MODELQ2

REDUCED ORDER MODELINGQ2

PROPER ORTHOGONAL DECOMPOSITIONQ2

Abstract

In this paper; REDUCED ORDER MODELING (ROM) of unsteady two-phase flows is performed based upon TWO-FLUID MODELs and a proper-orthogonal decomposition (POD) method. The four-equation two-phase flow model is used as a mathematical model to describe physics of the problem. After presenting the governing equations, direct numerical solution of the problem is introduced using AUSMDV* method. Then, the POD method is introduced as a mathematical tool to reduce computational time of the transient problems. In the present research, an equation free/Galerkine free POD method is used for ROM of the unsteady two-phase flows. In this approach, the singular value decomposition (SVD) method is used to compute the base vectors of the reduced space. A shock tube and water-air separation two-phase problems are solved using the present ROM method. Results show that this approach can reduce computational time of unsteady simulations about 35%. Reduction of the computational time directly depends on the size of the computational gird. The results also indicate that application of POD method on the fine grids is more efficient than on the coarse grids.

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APA: Copy

SHEKARI, YOUNES, HAJIDAVALLOO, EBRAHIM, BEHBAHANI NEJAD, MORTEZA, & SHABANI, MOHSEN. (2015). REDUCED ORDER MODELING OF UNSTEADY TWOPHASE FLOWS USING PROPER ORTHOGONAL DECOMPOSITION METHOD. MODARES MECHANICAL ENGINEERING, 14(1), 189-196. SID. https://sid.ir/paper/179829/en

Vancouver: Copy

SHEKARI YOUNES, HAJIDAVALLOO EBRAHIM, BEHBAHANI NEJAD MORTEZA, SHABANI MOHSEN. REDUCED ORDER MODELING OF UNSTEADY TWOPHASE FLOWS USING PROPER ORTHOGONAL DECOMPOSITION METHOD. MODARES MECHANICAL ENGINEERING[Internet]. 2015;14(1):189-196. Available from: https://sid.ir/paper/179829/en

IEEE: Copy

YOUNES SHEKARI, EBRAHIM HAJIDAVALLOO, MORTEZA BEHBAHANI NEJAD, and MOHSEN SHABANI, “REDUCED ORDER MODELING OF UNSTEADY TWOPHASE FLOWS USING PROPER ORTHOGONAL DECOMPOSITION METHOD,” MODARES MECHANICAL ENGINEERING, vol. 14, no. 1, pp. 189–196, 2015, [Online]. Available: https://sid.ir/paper/179829/en

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