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A simple method for improving the SIMPLER algorithm for numerical simulations of incompressible fluid flow and heat transfer problems. (English) Zbl 1191.76070
Summary: Purpose - To provide an improved version of SIMPLER algorithm which can enhance the convergence rate of the iterative solution procedure in the field of computational fluid dynamics analysis.
Design/methodology/approach - The improved version of SIMPLER algorithm is developed by modifying the coefficients of the velocity correction equation and implementing the correction of pressure within an iteration cycle.
Findings - The CSIMPLER algorithm (the improved version) can enhance the convergence rate for almost all cases tested, especially for the low under-relaxation factor situations. The pressure correction term even can be overrelaxed to further enhance the convergence rate.
Research limitations/implications - The CSIMPLER algorithm can enhance the rate of convergence to different degree for different problems. It can only be adopted to solve the incompressible fluid flow and heat transfer.
Practical implications - CSIMPLER is a simple and effectual method to enhance the convergence rate of the iterative process for the computational fluid dynamics analysis. The existing code of SIMPLER can be easily changed to CSIMPLER.
Originality/value - The paper developed an improved version of SIMPLER algorithm with some minor changes in the existing SIMPLER code.

MSC:
76M12 Finite volume methods applied to problems in fluid mechanics
76R10 Free convection
80A20 Heat and mass transfer, heat flow (MSC2010)
80M12 Finite volume methods applied to problems in thermodynamics and heat transfer
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[1] DOI: 10.1002/fld.1650180705 · Zbl 0806.76055 · doi:10.1002/fld.1650180705
[2] DOI: 10.1080/10407799108944997 · doi:10.1080/10407799108944997
[3] DOI: 10.1016/0045-7930(86)90034-4 · Zbl 0588.76041 · doi:10.1016/0045-7930(86)90034-4
[4] DOI: 10.1115/1.3245075 · doi:10.1115/1.3245075
[5] DOI: 10.1016/0021-9991(82)90058-4 · Zbl 0511.76031 · doi:10.1016/0021-9991(82)90058-4
[6] DOI: 10.1002/(SICI)1097-0363(19970830)25:4<393::AID-FLD554>3.0.CO;2-I · Zbl 0890.76050 · doi:10.1002/(SICI)1097-0363(19970830)25:4<393::AID-FLD554>3.0.CO;2-I
[7] DOI: 10.1016/0021-9991(86)90099-9 · Zbl 0619.76024 · doi:10.1016/0021-9991(86)90099-9
[8] DOI: 10.1017/S0022112076002012 · Zbl 0323.76071 · doi:10.1017/S0022112076002012
[9] DOI: 10.1016/0017-9310(92)90111-5 · Zbl 0763.76051 · doi:10.1016/0017-9310(92)90111-5
[10] DOI: 10.1017/S0022112067001892 · doi:10.1017/S0022112067001892
[11] DOI: 10.1080/104077900275503 · doi:10.1080/104077900275503
[12] DOI: 10.1080/01495728108961801 · doi:10.1080/01495728108961801
[13] DOI: 10.1016/0017-9310(72)90054-3 · Zbl 0246.76080 · doi:10.1016/0017-9310(72)90054-3
[14] DOI: 10.1080/10407799808915023 · doi:10.1080/10407799808915023
[15] DOI: 10.1080/01495728408961817 · Zbl 0553.76005 · doi:10.1080/01495728408961817
[16] DOI: 10.1007/BF01548600 · doi:10.1007/BF01548600
[17] DOI: 10.1002/fld.1650170504 · Zbl 0784.76061 · doi:10.1002/fld.1650170504
[18] DOI: 10.1080/10407789208944769 · doi:10.1080/10407789208944769
[19] DOI: 10.1080/10407799308955885 · doi:10.1080/10407799308955885
[20] Yu, B., Ozoe, H. and Tao, W.Q. (2001), ”A modified pressure-correction scheme for the SIMPLER method, MSIMPLER”, Numer. Heat Transfer B, Vol. 39, pp. 439-49.
[21] DOI: 10.1115/1.3244503 · doi:10.1115/1.3244503
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