통합보존식 해석과 HCIB 법을 이용한 슬로싱 탱크 내부 갇힌 공기에 의한 압력 진동 모사
Simulation of a Pulsating Air Pocket in a Sloshing Tank Using Unified Conservation Laws and HCIB Method
1
조회
0
다운로드
1
인용
0
참고문헌
키워드
초록
The code developed using a pressure-based method for unified conservation laws of incompressible/compressible fluids is expanded to handle moving or deforming body boundaries using the hybrid Cartesian/immersed boundary method. An instantaneous pressure field is calculated from a pressure Poisson equation for the whole fluid domain, including the compressible gas region. The polytropic gas is assumed for the compressible fluid so that the energy equation is decoupled. Immersed boundary nodes are identified based on edges crossing body boundaries. The velocity vector is reconstructed at the immersed boundary node using an interpolation along the assigned local normal line. The developed code is validated by comparing the time histories of pressure and wave elevation for sloshing in a rectangular and a membrane-type tank. The validated code is applied to simulate air cushion effects in a rectangular tank under sway motion. Time variations of pressure fields are analyzed in detail as the air pocket pulsates. It is shown that the contraction and expansion of the air pocket dominate the pressure loads on the wall of the tank. The present results are in good agreement with other experimental and computational results for the amplitude and the decay of the pressure oscillations measured at the pressure gauges.
Abstract
The code developed using a pressure-based method for unified conservation laws of incompressible/compressible fluids is expanded to handle moving or deforming body boundaries using the hybrid Cartesian/immersed boundary method. An instantaneous pressure field is calculated from a pressure Poisson equation for the whole fluid domain, including the compressible gas region. The polytropic gas is assumed for the compressible fluid so that the energy equation is decoupled. Immersed boundary nodes are identified based on edges crossing body boundaries. The velocity vector is reconstructed at the immersed boundary node using an interpolation along the assigned local normal line. The developed code is validated by comparing the time histories of pressure and wave elevation for sloshing in a rectangular and a membrane-type tank. The validated code is applied to simulate air cushion effects in a rectangular tank under sway motion. Time variations of pressure fields are analyzed in detail as the air pocket pulsates. It is shown that the contraction and expansion of the air pocket dominate the pressure loads on the wall of the tank. The present results are in good agreement with other experimental and computational results for the amplitude and the decay of the pressure oscillations measured at the pressure gauges.
참고문헌 (27)
- Abrahamsen, B. C, "The effect of air leakage and heat exchange on the decay of entrapped air pocket slamming oscillations", Physics of Fluids, 23(10), pp.1~17 (2011)
- Abrahamsen, B. C, "The natural frequency of the pressure oscillations inside a water-wave entrapped air pocket on a rigid wall", Journal of Fluids and Structure, 35, pp.200~212 (2012)
- Bredmose, H, "Violent breaking wave impacts. Part 3. Effects of scale and aeration", Journal of Fluid Mechanics, 765, pp.82~113 (2015)
- Daru, V, "A numerical method for the simulation of low Mach number liquid-gas flows", Journal of Computational Physics, 229, pp.8844~8867 (2010)
- Denner, F, ". Pressure-based algorithm for compressible interfacial flows with acoustically-conservative interface discretization", Journal of Computational Physics, 367, pp.192~234 (2018)
- Gilmanov, A, "A hybrid Cartesian", immersed boundary method for simulating flows with 3D, geometrically complex, moving bodies, 2005, pp.207(2), 457~492
- Koh, C.G, "A new particle method for simulation of in compressible free surface flow problems", International Journal for Numerical Methods in Engineering, 89(12), pp.1582~1604 (2011)
- Kwakkela, M, "Extension of a CLSVOF method for droplet-laden flows with a coalescence", breakup model, 2013, pp.253, 166~188
- Liu, K, "A fractional step method for solving the compressible Navier-Stokes equations", Journal of Computational Physics, 226(2), pp.1930~1951 (2007)
- Lugni, C, "Evolution of the air cavity during a depressurized wave impact. II. The dynamic field", Physics of Fluids, 22, pp.056102~ (2010)
- Lugni, C, "volution of the air cavity during a depressurized wave impact. I. The kinematic flow field", Physics of Fluids, 22, pp.056101~ (2010)
- Luo, M, "A three-dimensional particle method for violent sloshing under regular and irregular excitations", Ocean Engineering, 120, pp.52~63 (2016)
- Luo, M, "A particle method for two-phase flows with compressible air pocket", International Journal for Numerical Methods in Engineering, 108(7), pp.695~721 (2016)
- Ma, Z.H, "Numerical investigation of air enclosed wave impacts in a depressurised tank", Ocean Engineering, 123, pp.15~27 (2016)
- 신상묵, "댐 붕괴 유동에서 갇힌 공기의 압축성에 의한 물의 압력 진동 모사", 대한조선학회 논문집, 55(1), pp.56~65 (2018), 대한조선학회[DOI]
- 신상묵, "비압축성 자유표면 유동에서 갇힌 기체의 등엔트로피 및등온과정에 따른 공기 완충 효과 변화", 한국전산유체공학회지, 24(3), pp.76~83 (2019), 한국전산유체공학회
- Shin, S, "Simulation of compressibility of entrapped air in an incompressible free surface flow using a pressure-based method for unified equations", International Journal for Numerical Methods in Fluids, 92(10), pp.1274~1289 (2020)
- Shin, S, "Simulation of water entry of an elastic wedge using the FDS scheme and HCIB method", Journal of Hydrodynamics, 25(3), pp.450~458 (2013)
- Shin, S, "Effects of flexibility on propulsive force acting on a heaving foil", Ocean Engineering, 36, pp.285~294 (2009)
- Shin, S, "Computations of flow over a flexible plate using the hybrid Cartesian", immersed boundary method, 2007, pp.3, 63~282
- Sun, H, "Numerical study of air compressibility effects in breaking wave impacts using a CIP-based model", Ocean Engineering, 174, pp.159~168 (2019)
- Sussman, M, "A coupled level set and volume-of-fluid method for computing 3D and axisymmetric incompressible two-phase flows", Journal of Computational Physics, 162, pp.301~337 (2000)
- Tamellini, M, "An optimal control problem for two-phase compressible–incompressible flows", Computers & Fluids, 172, pp.538~548 (2018)
- Wang, B.S, "An improved fifth order alternative WENO-Z finite difference scheme for hyperbolic conservation laws", Journal of Computational Physics, 374, pp.469~477 (2018)
- Wang, L, "An immersed boundary method for fluid-structure interaction with compressible multiphase flows", Journal of Computational Physics, 346, pp.131~151 (2017)
- Yokoi, K, "A practical numerical framework for free surface flows based on CLSVOF method, multi-moment methods and density-scaled CSF model : numerical simulations of droplet splashing", Journal of Computational Physics, 232, pp.252~271 (2013)
- Zhu, J, "A new fifth order finite difference WENO scheme for solving hyperbolic conservation laws", Journal of Computational Physics, 318, pp.110~121 (2016)