A Procedure for the Treatment of the Velocity-Pressure Coupling Problem in Incompressible Fluid Flow

Mazhar, Zeka

doi:10.1080/104077901460704

Cited by 23 publications

(9 citation statements)

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“…Because the cost per iteration is higher for the coupled solver, it is more meaningful to compare the CPU time consumed by both solvers. Results in Table 3 indicate that as the grid size increases from 10 4 to 3 Â 10 5 quadrilateral (triangular) control volumes, the corresponding ratio of the CPU time needed by the segregated solver to the CPU time required by the coupled algorithm increases from 13 to 115 (13-104), 18 to 71 (8-58), 4 to 31 (3-33), 8 to 56 (6-54), 8 to 22 (6)(7)(8)(9)(10)(11)(12)(13)(14)(15)(16)(17)(18)(19)(20)(21)(22)(23)(24)(25), and 5 to 38 for the above problems. This represents a tremendous savings as the total time required by the coupled approach to solve all problems on the coarsest and densest quadrilateral (triangular) grids used are 209.6 and 11660.1 (339.7 and 12849.3) seconds while the times required by the segregated method are 1844.89 and 525911.74 (2113.11 and 564206) seconds with the average S/C ratio varying from 8.8 to 45.1 (6.22-43.9).…”

Section: Comparison Of Performance Of the Coupled Solver With The Segmentioning

confidence: 99%

“…(21) into Eq. (20), and manipulating, the final form of the discretized momentum equations is obtained as…”

Section: The Coupled Algorithmmentioning

confidence: 99%

“…In the first, no pressure equation is introduced and the momentum and continuity equations are discretized in a straightforward manner. Examples of these algorithms include the SIVA (simultaneous variable arrangement) algorithm of Carretto et al [16], the SCGS (symmetric coupled Gauss Seidel) algorithm of Vanka [17], the UVP method of Karki and Mongia [18], the method of Braaten [19], and more recently the BIP (Body Implicit Procedure) of Mazhar [20], among others. Since no pressure equation is derived, zeros are present in the main diagonal of the discretized continuity equation leading to an ill conditioned system of equations.…”

Section: Introductionmentioning

confidence: 99%

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A coupled finite volume solver for the solution of incompressible flows on unstructured grids

Darwish

Sraj

Moukalled

2009

Journal of Computational Physics

115

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Section: Comparison Of Performance Of the Coupled Solver With The Segmentioning

confidence: 99%

“…(21) into Eq. (20), and manipulating, the final form of the discretized momentum equations is obtained as…”

Section: The Coupled Algorithmmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A coupled finite volume solver for the solution of incompressible flows on unstructured grids

Darwish

Sraj

Moukalled

2009

Journal of Computational Physics

115

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“…The three test problems are, respectively, lid-driven cavity¯ow [18,19], rectangular tank¯ow [2], and backward-facing step¯ow [20,21], as shown schematically in Figures 2a±2c. The three test problems are, respectively, lid-driven cavity¯ow [18,19], rectangular tank¯ow [2], and backward-facing step¯ow [20,21], as shown schematically in Figures 2a±2c.…”

Section: Applications and Resultsmentioning

confidence: 99%

Special Treatment of Pressure Correction Based on Continuity Conservation in a Pressure-Based Algorithm

Deng¹,

Tang²

2002

Numerical Heat Transfer, Part B: Fundamentals

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The special features of pressure-correction equations and their effects on the performance of the SIMPLE algorithm have been systematically investigated based on the concept of continuity conservation. Except for use of the same iterative method as for the momentum equations, iterative solution of the pressure-correctio n equation has special features in three respects: initial values, boundary conditions (BCs), and iterative procedure. First, the initial values in each outer loop are independent and should be reset as zeroes. Second, the BCs are fully reverse to that of velocity: Dirichlet velocity BCs correspond to Neumann BCs of pressure correction, and Neumann velocity BCs lead to pressure-correctio n Dirichlet BCs. Third, more inner iterations for the pressure-correction equation are required to better satisfy continuity conservation. Dealing properly with these features can greatly improve the efficiency of the SIMPLE algorithm. Computational results and comparison s have shown that global mass conservation BCs are favorable to convergence, but may be slowed down by the local conservation BCs. During the course of convergence, the BCs of the pressurecorrection equation are vital: only correct BCs can boost convergence, incorrect BCs cannot. Increasing the inner iterations of the pressure-correctio n equation will significantly decrease the outer-loop iterations, and therefore effectively improve the performance of the SIMPLE algorithm.

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“…Use PCM is a way to store thermal energy in reducing the material volume and in building applications to choose the phase-change temperature to reach a thermal comfort temperature [1][2][3].…”

mentioning

confidence: 99%

Study on PCM Application in Old Building Energy Efficiency

Feng

Zhu

Wang

et al. 2013

2013 Fifth International Conference on Measuring Technology and Mechatronics Automation

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Use PCM is a way to store thermal energy on reducing the material volume and in building applications to choose the desirable phase-change temperature to reach a thermal comfort temperature. For old buildings, it is impossible to use traditional PCM as the envelope. But using a piece of PCM as a part of window maybe is a feasible choice. We have done experiments to study the PCM effects about indoor temperature and density of heat flow in Shanghai, China. The results of these experiments indicated the indoor average temperature decreased 1.67 in the daytime and increased 1.71 in the night, the space heat gain decreased 61% in the daytime and increased 230% in the night when PCM had used in the experimental rooms. The heat flow of PCM is the half of the glass windows in the daytime. PCM would decrease the indoor heat load in the daytime and change the thermal indoor environment in the evening. The investment payoff period is about 4 years.

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A Procedure for the Treatment of the Velocity-Pressure Coupling Problem in Incompressible Fluid Flow

Cited by 23 publications

References 0 publications

A coupled finite volume solver for the solution of incompressible flows on unstructured grids

A coupled finite volume solver for the solution of incompressible flows on unstructured grids

Special Treatment of Pressure Correction Based on Continuity Conservation in a Pressure-Based Algorithm

Study on PCM Application in Old Building Energy Efficiency

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