Aliabadi, Shahrouz; Johnson, Andrew; Abedi, Jalal Comparison of finite element and pendulum models for simulation of sloshing. (English) Zbl 1084.76539 Comput. Fluids 32, No. 4, 535-545 (2003). Summary: The pendulum model is a cost effective tool for the simulation of sloshing. However, the accuracy and applicability of the model has not been well established. We compare the simulation results obtained from the pendulum model and a more complicated finite element model for sloshing of liquids in tanker trucks. In the pendulum model, we assume that the liquid in the tanker is a point mass oscillating like a frictionless pendulum subjected to an external acceleration. In the finite element model, we solve the full Navier-Stokes equations written for two fluids to obtain the location and motion of the free surface. Stabilized finite element formulations are used in these complex 3D simulations. These finite element formulations are implemented in parallel using the message-passing interface libraries. The numerical example includes the simulation of sloshing in tanker trucks during turning. Cited in 10 Documents MSC: 76M10 Finite element methods applied to problems in fluid mechanics 76D27 Other free boundary flows; Hele-Shaw flows Keywords:Finite element method; Free surface flows; Simulation of sloshing; Pendulum; model PDF BibTeX XML Cite \textit{S. Aliabadi} et al., Comput. Fluids 32, No. 4, 535--545 (2003; Zbl 1084.76539) Full Text: DOI OpenURL References: [1] Aliabadi, S.; Tezduyar, T., Stabilized-finite-element/interface-capturing technique for parallel computation of unsteady flows with interfaces, Comput methods appl mech eng, 190, 243-261, (2000) · Zbl 0994.76050 [2] Aliabadi, S.; Shujaee, S., Two-fluid flow simulations using parallel finite element method, Simulation, 76, 257-262, (2001) [3] Tezduyar, T.; Aliabadi, S.; Behr, M., Enhanced-discretization interface-capturing technique (EDICT) for computation of unsteady flows with interfaces, Comput methods appl mech eng, 155, 235-248, (1998) · Zbl 0961.76046 [4] Aliabadi, S.K.; Tezduyar, T.E., Space-time finite element computation of compressible flows involving moving boundaries and interfaces, Comput methods appl mech eng, 107, 209-223, (1993) · Zbl 0798.76037 [5] Aliabadi, S.K.; Tezduyar, T.E., Parallel fluid dynamics computations in aerospace applications, Int J numer methods fluids, 21, 783-805, (1995) · Zbl 0862.76033 [6] Aliabadi, S.K.; Ray, S.E.; Tezduyar, T.E., SUPG finite element computation of viscous compressible flows based on the conservation and entropy variables formulations, Computat mech, 11, 300-312, (1993) · Zbl 0772.76032 [7] Mittal, S.; Aliabadi, S.; Tezduyar, T., Parallel computation of unsteady compressible flows with the EDICT, Computat mech, 23, 151-157, (1999) · Zbl 0951.76045 [8] Tezduyar, T.; Aliabadi, S., EDICT for 3D computation of two-fluid interfaces, Comput methods appl mech eng, 190, 403-410, (2000) · Zbl 0995.76052 [9] Hirt, C.W.; Nichols, B.D., Volume of fluid (VOF) method for the dynamics of free boundaries, J computat phys, 39, 201-225, (1981) · Zbl 0462.76020 [10] Johnson A, Aliabadi S. Application of automatic mesh generation and mesh multiplication techniques to very large scale free-surface flow simulations. Proceeding of the 7th International Conference on Numerical Grid Generation in Computational Field Simulations, Whistler, British Columbia, Canada, September 25-28, 2000 [11] Aliabadi S, Johnson A. Large-scale parallel simulation of free-surface flow applications. Proceeding of the 21st Latin American Congress on Computational Methods in Engineering, Cilamce 2000, Institute of Pure and Applied Mathematics, Rio de Janeiro, Brazil, December 6-8, 2000 [12] Aliabadi S, Johnson A, Berger C, Smith J, Zellars B, Abatan A. High performance computing in coastal and hydraulic applications. Proceeding of the 2001 International Parallel and Distributed Processing Symposium. San Francisco, April 23-27, 2001 [13] Behr, M.; Tezduyar, T., Finite element solution strategies for large-scale flow simulations, Comput methods appl mech eng, 112, 3-24, (1994) · Zbl 0846.76041 [14] Saad, Y.; Schultz, M., GMRES: generalized minimal residual algorithm for solving nonsymmetic linear systems, SIAM J sci stat comput, 7, 856-896, (1986) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.