مجله علوم و فنون دریایی

مجله علوم و فنون دریایی

بهبود روش هیدرودینامیک ذرات هموارشده جهت شبیه سازی مسأله موج ساز

نوع مقاله : مقاله پژوهشی

نویسندگان
1 بخش تبدیل انرژی، دانشکده مهندسی مکانیک، دانشگاه یزد، یزد، ایران.
2 گروه مهندسی مکانیک، دانشکده مهندسی، دانشگاه خلیج فارس، بوشهر، ایران.
چکیده
بهبود دقت و مرتبه همگرایی در روش هیدرودینامیک ذرات هموارشده، هنوز یکی از چالش‌های پژوهشگران است. در این پژوهش، طرح همگرایی مرتبه اول برای مشتق اول فضایی، در معادله‌های پیوستگی و بقای مومنتوم خطی کد متن‌باز DualSPHysics، جهت افزایش دقت و مرتبه همگرایی، پیاده‌سازی شده است. با دستیابی به بیش از سه مرتبه بهبود در مقدار دقت، پس از پیاده‌سازی این روش برای شبیه‌سازی مسأله معیار گردابه تیلور-گرین در پژوهش گذشته نویسندگان، در این مطالعه، شبیه‌سازی مسأله معیار موج‌ساز توسط حلگرهای استاندارد و بهبودیافته و مقایسه با نتایج تحلیلی از طریق محاسبه نرم یک خطای نسبی مقادیر سرعت در موقعیت معینی از دامنه حل، مورد ارزیابی قرار گرفته‌اند. وجود شرایط مرزی جامد ساکن و متحرک و همچنین سطح آزاد از چالش‌های اصلی مسأله جدید است. با بکارگیری حلگر بهبودیافته و تنظیم پارامترهای مؤثری مانند مقدار لزجت مصنوعی، ضریب پخش چگالی، ضریب محاسبه شعاع همسایگی و ضریب جابجایی ذرات، بهبود روند کاهش خطا و دستیابی به همگرایی مرتبه اول آن، مشاهده می‌شود.
کلیدواژه‌ها

موضوعات


Altomare, C., Domínguez, J.M., Crespo, A.J.C., González-Cao, J., Suzuki, T., Gómez-Gesteira, M., Troch, P., 2017. Long-crested wave generation and absorption for SPH-based DualSPHysics model. Coast. Eng. 127,  pp.37–54. https://doi.org/10.1016/j.coastaleng.2017.06.004
Amicarelli, A., Manenti, S., Albano, R., Agate, G., Paggi, M., Longoni, L., Mirauda, D., Ziane, L., Viccione, G., Todeschini, S., Sole, A., Baldini, L.M., Brambilla, D., Papini, M., Khellaf, M.C., Tagliafierro, B., Sarno, L., Pirovano, G., 2020. SPHERA v.9.0.0: A Computational Fluid Dynamics research code, based on the Smoothed Particle Hydrodynamics mesh-less method. Comput. Phys. Commun. 250, p. 107157. https://doi.org/10.1016/j.cpc.2020.107157
Antuono, M., Colagrossi, A., Marrone, S., 2012. Numerical diffusive terms in weakly-compressible SPH schemes. Comput. Phys. Commun. 183, pp. 2570–2580. https://doi.org/10.1016/j.cpc.2012.07 .006
Antuono, M., Colagrossi, A., Marrone, S., Lugni, C., 2011. Propagation of gravity waves through an SPH scheme with numerical diffusive terms. Comput. Phys. Commun. 182, pp.866–877. https://doi.org/10.1016/j.cpc.2010.12.012
Antuono, M., Sun, P.N., Marrone, S., Colagrossi, A., 2021. The δ-ALE-SPH model: An arbitrary Lagrangian-Eulerian framework for the δ-SPH model with particle shifting technique. Comput. Fluids 216, pp.104806. https://doi.org/ 10.1016/j.compfluid.2020.104806
Bonet, J., Lok, T.S.L., 1999. Variational and momentum preservation aspects of Smooth Particle Hydrodynamic formulations. Comput. Methods Appl. Mech. Eng. 180, pp.97–115. https://doi.org/10.1016/S0045-7825(99)00051-1
Bouscasse, B., Colagrossi, A., Marrone, S., Antuono, M., 2013. Nonlinear water wave interaction with floating bodies in SPH. J. Fluids Struct. 42, pp.112–129. https://doi.org/10.1016/j.jfluidstruct s.2013.05.010
Chen, B.F., Nokes, R., 2005. Time-independent finite difference analysis of fully non-linear and viscous fluid sloshing in a rectangular tank. J. Comput. Phys. 209, pp.47–81. https://doi.org/10.1016/j .jcp.2005.03.006
De Chowdhury, S., Sannasiraj, S.A., 2014. Numerical simulation of 2D sloshing waves using SPH with diffusive terms. Appl. Ocean Res. 47, pp.219–240. https://doi.org/10.1016/j.apor.2014.06.004
Domínguez, J.M., Fourtakas, G., Altomare, C., Canelas, R.B., Tafuni, A., García-Feal, O., Martínez-Estévez, I., Mokos, A., Vacondio, R., Crespo, A.J.C., Rogers, B.D., Stansby, P.K., Gómez-Gesteira, M., 2021. DualSPHysics: from fluid dynamics to multiphysics problems. Comput. Part. Mech. 9, pp.867–895. https://doi.org/10. 1007/s40571-021-00404-2
Farzin, S., Fatehi, R., Hassanzadeh, Y., 2019. Position explicit and iterative implicit consistent incompressible SPH methods for free surface flow. Comput. Fluids 179, pp.52–66. https://doi.org/10.1 016/j.compfluid.2018.10.010
Fatehi, R., Manzari, M.T., 2012. A consistent and fast weakly compressible smoothed particle hydrodynamics with a new wall boundary condition. Int. J. Numer. Methods Fluids 68, pp.905–921. https://doi.org/https://doi.org/10.1 002/fld.25 86
Fatehi, R., Rahmat, A., Tofighi, N., Yildiz, M., Shadloo, M.S., 2019. Density-based smoothed particle hydrodynamics methods for incompressible flows. Comput. Fluids 185, pp.22–33. https://doi.org/10.1016/j.compfluid.2019.02 .018
Fourtakas, G., Dominguez, J.M., Vacondio, R., Rogers, B.D., 2019. Local uniform stencil (LUST) boundary condition for arbitrary 3-D boundaries in parallel smoothed particle hydrodynamics (SPH) models. Comput. Fluids 190, pp.346–361. https://doi.org/10.1016/j.compfluid.2019.06.009
Gao, R., Ren, B., Wang, G., Wang, Y., 2012. Numerical modelling of regular wave slamming on subface of open-piled structures with the corrected SPH method. Appl. Ocean Res. 34, pp.173–186. https://doi.org/10.1016/j.apor.2011.08.002
Gingold, R.A., Monaghan, J.J., 1982. Kernel estimates as a basis for general particle methods in hydrodynamics. J. Comput. Phys. 46, pp.429–453. https://doi.org/10.1016/0021-9991(82)90025-0
Gotoh, H., Khayyer, A., 2018. On the state-of-the-art of particle methods for coastal and ocean engineering. Coast. Eng. J. 60, pp.79–103. https://doi.org/10.1080/21664250.2018.1436243
Han, Y.W., Qiang, H.F., Zhao, J.L., Gao, W.R., 2013. A new repulsive model for solid boundary condition in smoothed particle hydrodynamics. Wuli Xuebao/Acta Phys. Sin. 62. https://doi.org/10.7498/aps.62.044702
Hashemi, M.R., Fatehi, R., Manzari, M.T., 2012. A modified SPH method for simulating motion of rigid bodies in Newtonian fluid flows. Int. J. Non. Linear. Mech. 47, pp.626–638. https://doi.org/ 10.1016/j.ijnonlinmec.2011.10.007
House, D., Keyser, J.C., 2020. Smoothed Particle Hydrodynamics, in: Foundations of Physically Based Modeling and Animation. A K Peters/CRC Press, Boca Raton : Taylor & Francis, a CRC title, part of the, pp. 305–314. https://doi.org/1 0.1201/9781315373140-26
Inutsuka, S.I., 2002. Reformulation of smoothed particle hydrodynamics with Riemann solver. J. Comput. Phys. 179, pp.238–267. https://doi.org/ 10.1006/jcph.2002.7053
Khayyer, A., Rogers, B.D., Zhang, A.M., 2022. Preface: Special Issue on Advances and Applications of SPH in Ocean Engineering. Appl. Ocean Res. 118, p.103028. https://doi.org/1 0.1016/j.apor.2021.103028
King, J.R.C., Lind, S.J., Nasar, A.M.A., 2020. High order difference schemes using the local anisotropic basis function method. J. Comput. Phys. 415, p.109549. https://doi.org/10.1016 /j.jcp.2020.109549
Lind, S.J., Rogers, B.D., Stansby, P.K., 2020. Review of smoothed particle hydrodynamics: Towards converged Lagrangian flow modelling: Smoothed Particle Hydrodynamics review. Proc. R. Soc. A Math. Phys. Eng. Sci. 476. https://doi.org/10.1098/rspa.2019.0801
Liu, M., Shao, J., Chang, J., 2012. On the treatment of solid boundary in smoothed particle hydrodynamics. Sci. China Technol. Sci. 55, pp.244–254. https://doi.org/10.1007/s11431-011-4663-y
Liu, M.B., Liu, G.R., 2006. Restoring particle consistency in smoothed particle hydrodynamics. Appl. Numer. Math. 56, pp.19–36. https://doi.org/10.1016/j.apnum.2005.02.012
Long, T., Hu, D., Wan, D., Zhuang, C., Yang, G., 2017. An arbitrary boundary with ghost particles incorporated in coupled FEM–SPH model for FSI problems. J. Comput. Phys. 350, pp.166–183. https://doi.org/10.1016/j.jcp.2017.08.044
Lucy, L.B., 1977. A numerical approach to the testing of the fission hypothesis. Astron. J. 82, p.1013. https://doi.org/10.1086/112164
Manenti, S., Wang, D., Domínguez, J.M., Li, S., Amicarelli, A., Albano, R., 2019. SPH modeling of water-related natural hazards. Water (Switzerland) 11, p.1875. https://doi.org/10.3390/w11091875
Marrone, S., Antuono, M., Colagrossi, A., Colicchio, G., Le Touzé, D., Graziani, G., 2011. δ-SPH model for simulating violent impact flows. Comput. Methods Appl. Mech. Eng. 200, pp.1526–1542. https://doi.org/10.1016/j.cma.2010.12.016
Meringolo, D.D., Marrone, S., Colagrossi, A., Liu, Y., 2019. A dynamic δ-SPH model: How to get rid of diffusive parameter tuning. Comput. Fluids 179, pp.334–355. https://doi.org/10.1016/j.compfluid. 2018.11.012
Molteni, D., Colagrossi, A., 2009. A simple procedure to improve the pressure evaluation in hydrodynamic context using the SPH. Comput. Phys. Commun. 180, pp.861–872. https://doi.org/10.1016/j.cpc.2008.12.004
Monaghan, J.J., 1994. Simulating Free Surface Flows with SPH. J. Comput. Phys. 110, pp.399–406. https://doi.org/10.1006/jcph.1994.1034
Monaghan, J.J., 1992. Smoothed particle hydrodynamics. Annu. Rev. Astron. Astrophys. 30, pp.543–574. https://doi.org/10.1146/annurev.aa.3 0.090192.002551
Nasar, A.M.A., Fourtakas, G., Lind, S.J., King, J.R.C., Rogers, B.D., Stansby, P.K., 2021. High-order consistent SPH with the pressure projection method in 2-D and 3-D. J. Comput. Phys. 444, p.110563. https://doi.org/10.1016/j.jcp.2021.11 0563
Park, S.H., Jo, Y.B., Ahn, Y., Choi, H.Y., Choi, T.S., Park, S.S., Yoo, H.S., Kim, J.W., Kim, E.S., 2020. Development of Multi-GPU–Based Smoothed Particle Hydrodynamics Code for Nuclear Thermal Hydraulics and Safety: Potential and Challenges. Front. Energy Res. 8. https://doi.org/10.3389/fenrg.2020.00086
Price, D., 2005. Smoothed Particle Hydrodynamics. Reports Prog. Phys. 68, pp.1703–1759. https://doi.org/10.1088/0034-4885/68/8/R01
Randles, P.W., Libersky, L.D., 1996. Smoothed particle hydrodynamics: Some recent improvements and applications. Comput. Methods Appl. Mech. Eng. 139, pp.375–408. https://doi.org/10.1016/S0045-7825(96)01090-0
Rastelli, P., Vacondio, R., Marongiu, J.C., Fourtakas, G., Rogers, B.D., 2022. Implicit iterative particle shifting for meshless numerical schemes using kernel 
basis functions. Comput. Methods Appl. Mech. Eng. 393, p. 114716. https://doi.org/10.1016/j.cma. 2022.114716
Ravanbakhsh, H., Faghih, A.R., Fatehi, R., 2023. Implementation of improved spatial derivative discretization in DualSPHysics: simulation and convergence study. Comput. Part. Mech. 10, pp.1685–1696. https://doi.org/10.1007/s40571-023-00582-1
Sun, P.N., Colagrossi, A., Marrone, S., Antuono, M., Zhang, A.-M., 2019. A consistent approach to particle shifting in the δ-Plus-SPH model. Comput. Methods Appl. Mech. Eng. 348, pp.912–934. https://doi.org/10.1016/j.cma.2019.01.045
Sun, P. N., Colagrossi, A., Marrone, S., Antuono, M., Zhang, A.M., 2018. Multi-resolution Delta-plus-SPH with tensile instability control: Towards high Reynolds number flows. Comput. Phys. Commun. 224, pp.63–80. https://doi.org/10.1016/j.cpc.20 17.11.016
Sun, P.N., Colagrossi, A., Marrone, S., Zhang, A.M., 2017. The δplus-SPH model: Simple procedures for a further improvement of the SPH scheme. Comput. Methods Appl. Mech. Eng. 315, pp.25–49. https://doi.org/10.1016/j.cma.2016.10.028
Sun, Peng Nan, Colagrossi, A., Zhang, A.M., 2018. Numerical simulation of the self-propulsive motion of a fishlike swimming foil using the δ+-SPH model. Theor. Appl. Mech. Lett. 8, pp.115–125. https://doi.org/10.1016/j.taml.2018.02.007
Takeda, H., Miyama, S.M., Sekiya, M., 1994. Numerical Simulation of Viscous Flow by Smoothed Particle Hydrodynamics. Prog. Theor. Phys. 92, pp.939–960. https://doi.org/10.114 3/ptp/92.5.939
Toma, M., Chan-Akeley, R., Arias, J., Kurgansky, G.D., Mao, W., 2021. Fluid–structure interaction analyses of biological systems using smoothed-particle hydrodynamics. Biology (Basel). 10, pp.1–12. https://doi.org/10.3390/biology10030185
Vacondio, R., Altomare, C., De Leffe, M., Hu, X., Le Touzé, D., Lind, S., Marongiu, J.C., Marrone, S., Rogers, B.D., Souto-Iglesias, A., 2021. Grand challenges for Smoothed Particle Hydrodynamics 
دوره 24، شماره 3
پاییز 1404
صفحه 49-66

  • تاریخ دریافت 04 شهریور 1403
  • تاریخ بازنگری 27 شهریور 1403
  • تاریخ پذیرش 21 مهر 1403
  • تاریخ انتشار 01 آذر 1404