[논문]Direct imposition of the wall boundary condition for simulating free surface flows in SPH

Park, Hyung-Jun; Seo, Hyun-Duk; Lee, Phill-Seung

doi:10.12989/sem.2021.78.4.497

[국내논문] Direct imposition of the wall boundary condition for simulating free surface flows in SPH

Structural engineering and mechanics : An international journal, v.78 no.4, 2021년, pp.497 - 518

Park, Hyung-Jun (Department of Mechanical Engineering, Korean Advanced Institute for Science and Technology) , Seo, Hyun-Duk (Department of Mechanical Engineering, Korean Advanced Institute for Science and Technology) , Lee, Phill-Seung (Department of Mechanical Engineering, Korean Advanced Institute for Science and Technology)

Abstract ▼ AI-Helper

In this study, a new method for treating the wall boundary in smoothed particle hydrodynamics (SPH) is proposed to simulate free surface flows effectively. Unlike conventional methods of wall boundary treatment through boundary particles, in the proposed method, the wall boundary condition is directly imposed by adding boundary truncation terms to the mass and momentum conservation equations. Thus, boundary particles are not used in boundary modeling. Doing so, the wall boundary condition is accurately imposed, boundary modeling is simplified, and computation is made efficient without losing stability in SPH. Performance of the proposed method is demonstrated through several numerical examples: dam break, dam break with a wedge, sloshing, inclined bed, cross-lever rotation, pulsating tank and sloshing with a flexible baffle. These results are compared with available experimental results, analytical solutions, and results obtained using the boundary particle method.

Keyword

참고문헌 (57)

Adami, S., Hu, X.Y. and Adams, N.A. (2012), "A generalized wall boundary condition for smoothed particle hydrodynamics", J. Comput. Phys., 231(21), 7057-7075. https://doi.org/10.1016/j.jcp.2012.05.005.

상세보기
Ancey, C., Iverson, R.M., Rentschler, M. and Denlinger, R.P. (2008), "An exact solution for ideal dam-break floods on steep slopes", Water Resour. Res., 44(1), 1. https://doi.org/10.1029/2007WR006353.

상세보기
Bakti, F.P., Kim, M.H., Kim, K.S. and Park, J.C. (2016), "Comparative study of standard WC-SPH and MPS solvers for free surface academic problems", Int. J. Offshore Polar Eng., 26(03), 235-243. https://doi.org/10.17736/ijope.2016.pf17.

상세보기
Bathe, K.J. (2014), Finite Element Procedures, 2nd Edition, Watertown, MA.
Bierbrauer, F., Bollada, P.C. and Phillips, T.N. (2009), "A consistent reflected image particle approach to the treatment of boundary conditions in smoothed particle hydrodynamics", Comput. Meth. Appl. Mech. Eng., 198(41-44), 3400-3410. https://doi.org/10.1016/j.cma.2009.06.014.

상세보기
Buchner, B. (2002), "Green water on ship-type offshore structures", Ph.D. Dissertation, Delft University of Technology, Delft.
Chen, Z., Zong, Z., Li, H.T. and Li, J. (2013), "An investigation into the pressure on solid walls in 2D sloshing using SPH method", Ocean Eng., 59, 129-141.https://doi.org/10.1016/j.cma.2009.06.014.

상세보기
Chen, Z., Zong, Z., Liu, M.B., Zou, L., Li, H.T. and Shu, C. (2015), "An SPH model for multiphase flows with complex interfaces and large density differences", J. Comput. Phys., 283, 169-188. https://doi.org/10.1016/j.jcp.2014.11.037.

상세보기
Colagrossi, A. (2005), "A meshless Lagrangian method for free-surface and interface flows with fragmentation", Ph.D. Dissertation, Universita di Roma, Roma.
Colagrossi, A. and Landrini, M. (2003), "Numerical simulation of interfacial flows by smoothed particle hydrodynamics", J. Comput. Phys., 191(2), 448-475. https://doi.org/10.1016/S0021-9991(03)00324-3.

상세보기
Daly, E., Grimaldi, S. and Bui, H.H. (2016), "Explicit incompressible SPH algorithm for free-surface flow modelling: A comparison with weakly compressible schemes", Adv. Water Resour., 97, 156-167. https://doi.org/10.1016/j.advwatres.2016.09.008.

상세보기
Eslamian, A. and Khayat, M. (2017), "Numerical studies to propose a ghost particle removed SPH (GR-SPH) method", Appl. Math. Model., 42, 71-99. https://doi.org/10.1016/j.apm.2016.09.026.

상세보기
Faltinsen, O.M., Rognebakke, O.F., Lukovsky, I.A. and Timokha, A.N. (2000), "Multidimensional modal analysis of nonlinear sloshing in a rectangular tank with finite water depth", J. Fluid Mech., 407, 201-234.

상세보기
Ferrand, M., Laurence, D.R., Rogers, B.D., Violeau, D. and Kassiotis, C. (2013), "Unified semi-analytical wall boundary conditions for inviscid, laminar or turbulent flows in the meshless SPH method", Int. J. Numer. Meth. Fluid., 71(4), 446-472. https://doi.org/10.1002/fld.3666.

상세보기
Francomano, E. and Paliaga, M. (2020), "A normalized iterative smoothed particle hydrodynamics method", Math. Comput. Simul., 176, 171-180. https://doi.org/10.1016/j.matcom.2019.10.004.

상세보기
Gingold, R.A. and Monaghan, J.J. (1977), "Smoothed particle hydrodynamics: theory and application to non-spherical stars", Month. Not. Royal Astronom. Soc., 181(3), 375-389. https://doi.org/10.1093/mnras/181.3.375.
Idelsohn, S.R., Marti, J., Souto-Iglesias, A. and Onate, E. (2008), "Interaction between an elastic structure and free-surface flows: experimental versus numerical comparisons using the PFEM", Comput. Mech., 43(1), 125-132. https://doi.org/10.1007/s00466-008-0245-7.

상세보기
Kim, S. and Lee, K.H. (2018), "Hydrodynamic analysis of floating structures with baffled ARTs", Struct. Eng. Mech., 68(1), 1-15. http://doi.org/10.12989/sem.2018.68.1.001.

상세보기
Ko, Y., Lee, P.S. and Bathe, K.J. (2016), "The MITC4+ shell element and its performance", Comput. Struct., 169, 57-68. https://doi.org/10.1016/j.compstruc.2016.03.002.

상세보기
Kulasegaram, S., Bonet, J., Lewis, R.W. and Profit, M. (2004), "A variational formulation based contact algorithm for rigid boundaries in two-dimensional SPH applications", Comput. Mech., 33(4), 316-325. https://doi.org/10.1007/s00466-003-0534-0.

상세보기
Libersky, L.D., Petschek, A.G., Carney, T.C., Hipp, J.R. and Allahdadi, F.A. (1993), "High strain Lagrangian hydrodynamics: a three-dimensional SPH code for dynamic material response", J. Comput. Phys., 109(1), 67-75. https://doi.org/10.1006/jcph.1993.1199.

상세보기
Liu, G.R. and Liu, M.B. (2003), Smoothed Particle Hydrodynamics: A Meshfree Particle Method, World Scientific, Singapore.
Liu, M., Shao, J. and Chang, J. (2012), "On the treatment of solid boundary in smoothed particle hydrodynamics", Sci. China Technol. Sci., 55(1), 244-254. https://doi.org/10.1007/s11431-011-4663-y.

상세보기
Liu, M.B. and Liu, G.R. (2010), "Smoothed particle hydrodynamics (SPH): an overview and recent developments", Arch. Comput. Meth. Eng., 17(1), 25-76. https://doi.org/10.1007/s11831-010-9040-7.

상세보기
Liu, M.B., Liu, G.R., Lam, K.Y. and Zong, Z. (2003), "Smoothed particle hydrodynamics for numerical simulation of underwater explosion", Comput. Mech., 30(2), 106-118. https://doi.org/10.1007/s00466-002-0371-6.

상세보기
Liu, M.B., Liu, G.R., Zong, Z. and Lam, K.Y. (2003), "Computer simulation of high explosive explosion using smoothed particle hydrodynamics methodology", Comput. Fluid., 32(3), 305-322. https://doi.org/10.1016/S0045-7930(01)00105-0.

상세보기
Lucy, L.B. (1977), "A numerical approach to the testing of the fission hypothesis", Astronom. J., 82, 1013-1024.
Mirauda, D., Albano, R., Sole, A. and Adamowski, J. (2020) "Smoothed particle hydrodynamics modeling with advanced boundary conditions for two-dimensional dam-break floods", Water, 12(4), 1142. https://doi.org/10.3390/w12041142.

상세보기
Monaghan, J.J. (1994), "Simulating free surface flows with SPH", J. Comput. Phys., 110(2), 399-406. https://doi.org/10.1006/jcph.1994.1034.

상세보기
Monaghan, J.J. (2005), "Smoothed particle hydrodynamics", Report. Prog. Phys., 68(8), 1703. https://doi.org/10.1146/annurev.aa.30.090192.002551.

상세보기
Monaghan, J.J. and Gingold, R.A. (1983) "Shock simulation by the particle method SPH", J. Comput. Phys., 52(2), 374-389. https://doi.org/10.1016/0021-9991(83)90036-0.

상세보기
Monaghan, J.J. and Kajtar, J.B. (2009), "SPH particle boundary forces for arbitrary boundaries", Comput. Phys. Commun., 180(10), 1811-1820. https://doi.org/10.1016/j.cpc.2009.05.008.

상세보기
Monaghan, J.J. and Kos, A. (1999), "Solitary waves on a Cretan beach", J. Waterw. Port Coast. Ocean Eng., 125(3), 145-155. https://doi.org/10.1061/(ASCE)0733-950X(1999)125:3(145).

상세보기
Monaghan, J.J. and Lattanzio, J.C. (1985) "A refined particle method for astrophysical problems", Astron. Astrophys., 149, 135-143.
Morris, J.P. (1996), "A study of the stability properties of smooth particle hydrodynamics", Publ. Astron. Soc. Australia, 13, 97-102.

상세보기
Morris, J.P. (1996), "Analysis of smoothed particle hydrodynamics with applications", Ph.D. Dissertation, Monash University, Melbourne.
Ozbulut, M., Yildiz, M. and Goren, O. (2014), "A numerical investigation into the correction algorithms for SPH method in modeling violent free surface flows", Int. J. Mech. Sci., 79, 56-65. https://doi.org/10.1016/j.ijmecsci.2013.11.021.

상세보기
Paik, K.J. and Carrica, P.M. (2014), "Fluid-structure interaction for an elastic structure interacting with free surface in a rolling tank", Ocean Eng., 84, 201-212. https://doi.org/10.1016/j.oceaneng.2014.04.016.

상세보기
Seo, H.D., Park, H.J., Kim, J.I. and Lee, P.S. (2021)", The particle-attached element interpolation for density correction in smoothed particle hydrodynamics", Adv. Eng. Softw., 154, 102972. https://doi.org/10.1016/j.advengsoft.2021.102972.

상세보기
Shao, J.R., Li, H.Q., Liu, G.R. and Liu, M.B. (2012), "An improved SPH method for modeling liquid sloshing dynamics", Comput. Struct., 100, 18-26. https://doi.org/10.1016/j.compstruc.2012.02.005.

상세보기
Shao, S. (2012), "Incompressible smoothed particle hydrodynamics simulation of multifluid flows", Int. J. Numer. Meth. Fluid., 69(11), 1715-1735. https://doi.org/10.1002/fld.2660.

상세보기
Shobeyri, G. (2017), "Improving efficiency of SPH method for simulation of free surface flows using a new treatment of Neumann boundary conditions", J. Brazil. Soc. Mech. Sci. Eng., 39(12), 5001-5014. https://doi.org/10.1007/s40430-017-0861-2.

상세보기
Shobeyri, G. (2018), "A simplified SPH method for simulation of free surface flows", Iran. J. Sci. Technol. Tran. Civil Eng., 42(3), 245-258. https://doi.org/10.1007/s40996-018-0103-6.

상세보기
Sigalotti, L.D.G., Rendon, O., Klapp, J., Vargas, C.A. and Cruz, F. (2019), "A new insight into the consistency of the SPH interpolation formula", Appl. Math. Comput., 356, 50-73. https://doi.org/10.1016/j.amc.2019.03.018.

상세보기
Staroszczyk, R. (2010), "Simulation of dam-break flow by a corrected smoothed particle hydrodynamics method", Arch. Hydro-Eng. Environ. Mech., 57(1), 61-79.
Takahashi, T., Dobashi, Y., Nishita, T. and Lin, M.C. (2018), "An efficient hybrid incompressible SPH solver with interface handling for boundary conditions", Comput. Graph. Forum, 37(1), 313-324. https://doi.org/10.1111/cgf.13292.

상세보기
Takeda, H., Miyama, S.M. and Sekiya, M. (1994), "Numerical simulation of viscous flow by smoothed particle hydrodynamics", Prog. Theo. Phys., 92(5), 939-960. https://doi.org/10.1143/ptp/92.5.939.

상세보기
Tang, Y., Chen, S. and Jiang, Q. (2020), "A conservative SPH scheme using exact projection with semi-analytical boundary method for free-surface flows", Appl. Math. Model., 82, 607-635. https://doi.org/10.1016/j.apm.2020.01.073.

상세보기
Vela, L.V., Reynolds-Barredo, J.M. and Sanchez, R. (2019), "A positioning algorithm for SPH ghost particles in smoothly curved geometries", J. Comput. Appl. Math., 353, 140-153. https://doi.org/10.1016/j.cam.2018.12.021.

상세보기
Yang, X. and Kong, S.C. (2017), "Smoothed particle hydrodynamics method for evaporating multiphase flows", Phys. Rev. E, 96(3), 033309. https://doi.org/10.1103/PhysRevE.96.033309.

상세보기
Yang, X. and Kong, S.C. (2019), "Adaptive resolution for multiphase smoothed particle hydrodynamics", Comput. Phys. Commun., 239, 112-125. https://doi.org/10.1016/j.cpc.2019.01.002.

상세보기
Yang, X., Dai, L. and Kong, S.C. (2017), "Simulation of liquid drop impact on dry and wet surfaces using SPH method", Proc. Combus. Inst., 36(2), 2393-2399. https://doi.org/10.1016/j.proci.2016.07.031.

상세보기
Yoon, K., Kim, D.N. and Lee, P.S. (2017), "Nonlinear torsional analysis of 3D composite beams using the extended St. Venant solution", Struct. Eng. Mech., 62(1), 33-42. https://doi.org/10.12989/sem.2017.62.1.033.

상세보기
Yoon, K., Lee, Y. and Lee, P.S. (2012), "A continuum mechanics based 3-D beam finite element with warping displacements and its modeling capabilities", Struct. Eng. Mech., 43(4), 411-437. http://dx.doi.org/10.12989/sem.2012.43.4.411.

상세보기
Zheng, X. and Duan, W.Y. (2010) "Numerical simulation of dam breaking using smoothed particle hydrodynamics and viscosity behavior", J. Marine Sci. Appl., 9(1), 34-41. https://doi.org/10.1007/s11804-010-8037-9.

상세보기
Zheng, X., Lv, X., Ma, Q., Duan, W., Khayyer, A. and Shao, S. (2018), "An improved solid boundary treatment for wave-float interactions using ISPH method", Int. J. Naval Arch. Ocean Eng., 10(3), 329-347. https://doi.org/10.1016/j.ijnaoe.2017.08.001.

원문보기 상세보기
Zheng, X., Ma, Q. and Shao, S. (2018), "Study on SPH viscosity term formulations", Appl. Sci., 8(2), 249. https://doi.org/10.3390/app8020249.

상세보기

LOADING...

활용도 분석정보

상세보기

다운로드

내보내기

활용도 Top5 논문

해당 논문의 주제분야에서 활용도가 높은 상위 5개 콘텐츠를 보여줍니다.
더보기 버튼을 클릭하시면 더 많은 관련자료를 살펴볼 수 있습니다.

표제어: PCR

동의어: Packet Collision Rate

용어 설명 출처 목록 (6)

용어 설명: PCR은 세균 특이성이 있는 primer를 이용하여 적은 수의 세균이 있을지라도 쉽게 검출할 수 있는 유용한 방법이며, 이를 이용하여 구강 내 치면세균막이나 타액에서 직접 세균을 검출할 수 있게 되었다[8].

내보내기 구분	파일저장 인쇄 메일전송
구성항목	기본정보 상세정보 관리번호, 논문명, 저널/프로시딩명, 저자 , 발행년, 권, 호, 시작페이지, 끝페이지, 발행기관 관리번호, 논문명, 대등논문명, 저자 , 저널/프로시딩명, 발행기관, 발행년, 발행언어, 권, 호, 시작페이지, 끝페이지, ISBN, ISSN, 주제분야, 키워드, 초록(한글), 초록(영문), 저자(소속기관)
저장형식	Text(ASCII format) Excel format RefWorks Direct Export RIS format (for Reference Manager, ProCite, EndNote), Scholar's Aids, Mendeley
메일정보	받는사람 (필수) @ 보내는사람 (선택) @ 제목 내용 KISTI 검색결과 이메일 서비스
안내	총 건의 자료가 검색되었습니다. 다운받으실 자료의 인덱스를 입력하세요. (1-10,000) 검색결과의 순서대로 최대 10,000건 까지 다운로드가 가능합니다. 데이타가 많을 경우 속도가 느려질 수 있습니다.(최대 2~3분 소요) 다운로드 파일은 UTF-8 형태로 저장됩니다. 파일의 내용이 제대로 보이지 않을실 때는 웹브라우저 상단의 보기 -> 인코딩 -> 자동선택 여부를 확인하십시오. ~ Text(ASCII format) Excel format

연합인증