Phương pháp biên nhúng trong giải quyết tương tác dòng chất – cấu trúc – nhiệt với truyền nhiệt liên hợp

Sādhanā - Tập 48 - Trang 1-16 - 2023
Hemanshul Garg1,2, Anup Kundu1,3, Atul Kumar Soti1,4, Rajneesh Bhardwaj1
1Department of Mechanical Engineering, Indian Institute of Technology Bombay, Mumbai, India
2Department of Mechanical Engineering, Eindhoven University of Technology, Eindhoven, Netherlands
3Department of Chemical Engineering, SSN College of Engineering, Chennai, India
4Department of Mechanical Engineering, Indian Institute of Technology Guwahati, Guwahati, India

Tóm tắt

Chúng tôi trình bày sự phát triển của một phương pháp biên nhúng giao diện sắc nét dựa trên giải thuật tương tác dòng chất – cấu trúc (FSI) do chúng tôi phát triển. Đặc biệt, chúng tôi tích hợp truyền nhiệt liên hợp (CHT) vào trong giải thuật này. Một mô hình phần tử hữu hạn được phát triển để giải quyết bài toán dẫn nhiệt trong cấu trúc. Một phương pháp liên kết mạnh Dirichlet–Neumann được sử dụng tại giao diện dòng chất – cấu trúc để mô tả sự tiếp xúc nhiệt hoàn hảo tại giao diện. Sự ổn định số được đảm bảo bằng cách sử dụng tham số giảm thiểu trong cách liên kết. Chúng tôi trình bày việc xác minh của bộ giải truyền nhiệt cấu trúc với các kết quả phân tích. Bộ giải được xác minh với các kết quả đã được công bố trước đó cho các vấn đề CHT: một cấu trúc được giữ trong một buồng với không có vận tốc trong chất lỏng, dòng chảy trong kênh với CHT, và đối lưu tự nhiên trong một buồng với CHT. Cuối cùng, chúng tôi chứng minh khả năng của bộ giải bằng cách mô phỏng một vấn đề FSI cho một biên cấu trúc biến dạng với CHT. Những xác minh và thử nghiệm toàn diện này minh họa độ chính xác và tính chắc chắn của bộ giải.

Từ khóa

#Phương pháp biên nhúng #Giải thuật tương tác dòng chất – cấu trúc #Truyền nhiệt liên hợp #Dẫn nhiệt #Đối lưu tự nhiên

Tài liệu tham khảo

Mittal Rajat and Iaccarino Gianluca 2005 Immersed boundary methods. Annu. Rev. Fluid Mech. 37: 239–261 Peskin Charles S 1972 Flow patterns around heart valves: a numerical method. Journal of computational physics 10(2): 252–271 Sotiropoulos Fotis and Yang Xiaolei 2014 Immersed boundary methods for simulating fluid-structure interaction. Progress in Aerospace Sciences 65: 1–21 Kim Woojin and Choi Haecheon 2019 Immersed boundary methods for fluid-structure interaction: A review. International Journal of Heat and Fluid Flow 75: 301–309 Griffith Boyce E and Patankar Neelesh A 2020 Immersed methods for fluid-structure interaction. Annual review of fluid mechanics 52: 421–448 Xiao Wei, Zhang Hancong, Luo Kun, Mao Chaoli and Fan Jianren 2020 Immersed boundary method for multiphase transport phenomena. Reviews in Chemical Engineering Mittal Rajat and Bhardwaj Rajneesh 2022 Immersed boundary methods for thermofluids problems. Annual Review of Heat Transfer, 24 Gilmanov Anvar and Acharya Sumanta 2008 A computational strategy for simulating heat transfer and flow past deformable objects. International Journal of Heat and Mass Transfer 51(17–18): 4415–4426 Kim Jungwoo and Choi Haecheon 2004 An immersed-boundary finite-volume method for simulation of heat transfer in complex geometries. KSME international journal 18(6): 1026–1035 Pacheco J R, Pacheco-Vega A, Rodić T and Peck R E 2005 Numerical simulations of heat transfer and fluid flow problems using an immersed-boundary finite-volume method on nonstaggered grids. Numerical Heat Transfer, Part B: Fundamentals 48(1): 1–24 Pan Dartzi 2006 An immersed boundary method on unstructured cartesian meshes for incompressible flows with heat transfer. Numerical Heat Transfer, Part B: Fundamentals 49(3): 277–297 Iaccarino Gianluca and Moreau Stéphane 2006 Natural and forced conjugate heat transfer in complex geometries on cartesian adapted grids. Journal of Fluids Engineering 128(4): 838–846 De Marinis Dario, de Tullio Marco Donato, Napolitano Michele and Pascazio Giuseppe 2016 Improving a conjugate-heat-transfer immersed-boundary method. International Journal of Numerical Methods for Heat & Fluid Flow 26(3/4): 1272–1288 Nagendra Krishnamurthy, Tafti Danesh K and Viswanath Kamal 2014 A new approach for conjugate heat transfer problems using immersed boundary method for curvilinear grid based solvers. Journal of Computational Physics 267: 225–246 Andersson Tommy, Nowak Dimitri, Johnson Tomas, Mark Andreas, Edelvik Fredrik and Küfer Karl-Heinz 2018 Multiobjective optimization of a heat-sink design using the sandwiching algorithm and an immersed boundary conjugate heat transfer solver. Journal of Heat Transfer, 140(10) Favre F, Antepara O, Oliet C, Lehmkuhl O and Perez-Segarra Carlos David 2019 An immersed boundary method to conjugate heat transfer problems in complex geometries. application to an automotive antenna. Applied Thermal Engineering 148: 907–928 Kumar Mukesh and Natarajan Ganesh 2019 Diffuse-interface immersed-boundary framework for conjugate-heat-transfer problems. Physical Review E 99(5): 053304 Garg Hemanshul, Soti Atul K and Bhardwaj Rajneesh 2018 A sharp interface immersed boundary method for vortex-induced vibration in the presence of thermal buoyancy. Physics of Fluids 30(2): 023603 Hemanshul Garg, Soti Atul Kumar and Bhardwaj Rajneesh 2019 Vortex-induced vibration of a cooled circular cylinder. Physics of Fluids 31(8): 083608 Garg Hemanshul, Soti Atul Kumar and Rajneesh Bhardwaj 2019 Vortex-induced vibration and galloping of a circular cylinder in presence of cross-flow thermal buoyancy. Physics of Fluids 31(11): 113603 Garg Hemanshul, Soti Atul Kumar and Rajneesh Bhardwaj 2020 Thermal buoyancy induced suppression of wake-induced vibration. International Communications in Heat and Mass Transfer 118: 104790 De Arnab Kr 2018 A diffuse interface immersed boundary method for complex moving boundary problems. Journal of Computational Physics 366: 226–251 Kumar Manish and Roy Somnath 2016 Immersed boundary method simulation of natural convection over fixed and oscillating cylinders in square enclosure. International Journal of Heat and Fluid Flow 61: 407–424 Kumar Vedant, Garg Hemanshul, Sharma Gaurav and Bhardwaj Rajneesh 2020 Harnessing flow-induced vibration of a d-section cylinder for convective heat transfer augmentation in laminar channel flow. Physics of Fluids 32(8): 083603 Bhardwaj Rajneesh and Mittal Rajat 2012 Benchmarking a coupled immersed-boundary-finite-element solver for large-scale flow-induced deformation. AIAA journal 50: 1638–1642 Kundu Anup, Soti Atul K, Bhardwaj Rajneesh and Thompson Mark C 2017 The response of an elastic splitter plate attached to a cylinder to laminar pulsatile flow. Journal of Fluids and Structures 68: 423–443 Kundu Anup, Soti Atul K, Garg Hemanshul, Bhardwaj Rajneesh and Thompson Mark C 2020 Computational modeling and analysis of flow-induced vibration of an elastic splitter plate using a sharp-interface immersed boundary method. SN Applied Sciences 2: 1–23 Thekkethil Namshad and Sharma Atul 2019 Level set function-based immersed interface method and benchmark solutions for fluid flexible-structure interaction. International Journal for Numerical Methods in Fluids 91(3): 134–157 Soti Atul Kumar, Bhardwaj Rajneesh and Sheridan John 2015 Flow-induced deformation of a flexible thin structure as manifestation of heat transfer enhancement. International Journal of Heat and Mass Transfer 84: 1070–1081 Mittal Rajat, Dong Haibo, Bozkurttas Meliha, Najjar F M, Vargas Abel and Von Loebbecke Alfred 2008 A versatile sharp interface immersed boundary method for incompressible flows with complex boundaries. Journal of computational physics 227(10): 4825–4852 Van Kan J J I M 1986 A second-order accurate pressure-correction scheme for viscous incompressible flow. SIAM Journal on Scientific and Statistical Computing 7(3): 870–891 Reddy Junuthula Narasimha 2019 Introduction to the finite element method.McGraw-Hill Education LAPACK An open source which provides routines for solving systems of simultaneous linear equations, (http://www.netlib.org/lapack/) Tahoe An open source c++ finite element solver, which was developed at Sandia National Labs, CA. http://sourceforge.net/projects/tahoe/ Bhardwaj Rajneesh, Ziegler Kimberly, Jung Hee Seo, Ramesh K T and Nguyen Thao D 2014 A computational model of blast loading on the human eye. Biomechanics and modeling in mechanobiology 13(1): 123–140 Bailoor Shantanu, Annangi Aditya, Jung Hee Seo and Bhardwaj Rajneesh 2017 Fluid-structure interaction solver for compressible flows with applications to blast loading on thin elastic structures. Applied Mathematical Modelling 52: 470–492 Rahman Muhammad M, Lallave Jorge C and Kumar Ashok 2008 Heat transfer from a spinning disk during semi-confined axial impingement from a rotating nozzle. International Journal of Heat and Mass Transfer 51(17–18): 4400–4414 Jiang Luo and Razinsky Eli H 2007 Conjugate heat transfer analysis of a cooled turbine vane using the v2f turbulence model. Journal of turbomachinery 129(4): 773–781 Croce G, Beaugendre Héloïse, and Habashi W 2002 Cht3d-fensap-ice conjugate heat transfer computations with droplet impingement and runback effects. In: 40th AIAA Aerospace Sciences Meeting & Exhibit, page 386 Kang Seongwon, Iaccarino Gianluca and Ham Frank 2009 Dns of buoyancy-dominated turbulent flows on a bluff body using the immersed boundary method. Journal of Computational Physics 228(9): 3189–3208 Sharma Gaurav, Avinash Kumar Pandey and Bhardwaj Rajneesh 2022 Effect of shape of frontbody and afterbody on flow past a stationary cylinder at re= 100. Physics of Fluids 34: 063605 Sharma Gaurav, Garg Hemanshul and Bhardwaj Rajneesh 2022 Flow-induced vibrations of elastically-mounted c-and d-section cylinders. Journal of Fluids and Structures 109: 103501 Darbhamulla Nihar B and Bhardwaj Rajneesh 2021 Flow-induced vibrations of circular cylinder in tandem arrangement with d-section cylinder at low reynolds number. Physics of Fluids 33(5): 053606 Patel Aayush and Bhardwaj Rajneesh 2022 Propulsive performance of a two-dimensional elliptic foil undergoing interlinked pitching and heaving.Physics of Fluids MATLAB PDE toolbox release 2009a, the MathWorks, inc., Natick, MA, http://www.mathworks.in/products/pde/ Barletta A, di Schio E Rossi, Comini G and D’Agaro P 2008 Conjugate forced convection heat transfer in a plane channel: Longitudinally periodic regime. International Journal of Thermal Sciences 47(1): 43–51 Teruel F E and Fogliatto E 2013 Numerical simulations of flow, heat transfer and conjugate heat transfer in the backward-facing step geometry. Mecanica, Computacional 32: 3265–3278 Ramšak Matjaž 2015 Conjugate heat transfer of backward-facing step flow: A benchmark problem revisited. International Journal of Heat and Mass Transfer 84: 791–799 Kaminski D A and Prakash C 1986 Conjugate natural convection in a square enclosure: effect of conduction in one of the vertical walls. International Journal of Heat and Mass Transfer 29(12): 1979–1988 Manjunathan Sujyesh Aanandh and Bhardwaj Rajneesh 2020 Thrust generation by pitching and heaving of an elastic plate at low reynolds number. Physics of Fluids 32(7): 073601 Turek Stefan and Hron Jaroslav 2006 Proposal for numerical benchmarking of fluid-structure interaction between an elastic object and laminar incompressible flow. In: Fluid-structure interaction, pages 371–385. Springer