Fixed-mesh Approach for Different Dimensional Solids in Fluid Flows: Application to Biological Mechanics
DOI:
https://doi.org/10.15282/jmes.6.2014.9.0079Keywords:
Drivability; subjective rating; longitudinal acceleration; objective drivability assessment.Abstract
Vehicle drivability is defined as the smoothness of a vehicle’s operation at the will of a driver under all driving conditions. Currently, drivability evaluation is conducted through a subjective ratings-based test standard which is derived from established procedures. Human subjective rating can be inconsistent due to physical health conditions and individual preferences. This study is conducted to determine the possibility of using longitudinal acceleration to arrange an objective drivability assessment. Vehicle evaluation is conducted to determine the subjective vehicle drivability ratings of four drivability expert evaluators. A test vehicle was evaluated under different acceleration conditions to determine a subjective drivability rating. Vehicle low speed passing acceleration during pedal tip in is measured. A relationship between low speed passing acceleration and subjective drivability rating is established. An objective drivability assessment tool is successfully arranged using this relationship. A drivability rating can be generated using the tools, without the need for subjective evaluation by expert evaluators.
References
Baaijens, F. P. (2001). A fictitious domain/mortar element method for fluid-structure interaction. International Journal for Numerical Methods in Fluids, 35(7), 743-761.
Bathe, K. J., Zhang, H., & Wang, M. H. (1995). Finite element analysis of incompressible and compressible fluid flows with free surfaces and structural interactions. Computers & Structures, 56(2), 193-213.
Belytschko, T., & Black, T. (1999). Elastic crack growth in finite elements with minimal remeshing. International Journal for Numerical Methods in Engineering, 45(5), 601-620. van den Berg, B.M., Vink, H. and Spaan, J.A.E. (2003). The Endothelial Glycocalyx Protects Against Myocardial Edema. Circulation Research, 92(6), 592-594.
Cottet, G. H., Maitre, E., & Milcent, T. (2008). Eulerian formulation and level set models for incompressible fluid-structure interaction. ESAIM: Mathematical Modelling and Numerical Analysis, 42, 471-492.
Dunne, T., & Rannacher, R. (2006). Adaptive finite element approximation of fluid-structure interaction based on an Eulerian variational formulation. Fluid-Structure Interaction. Springer Berlin Heidelberg. 110-145.
Flanagan, J. L., & Ishizaka, K. (1978). Computer model to characterize the air volume displaced by the vibrating vocal cords. The Journal of the Acoustical Society of America, 63, 1559. Anunals of biomedical engineering, 37(3), 625-642.
Gao, T., & Hu, H. H. (2009). Deformation of elastic particles in viscous shear flow. Journal of Computational Physics, 228(6), 2132-2151.
Gerstenberger, A., & Wall, W. A. (2008). An extended finite element method/Lagrange multiplier-based approach for fluid-structure interaction. Computer Methods in Applied Mechanics and Engineering, 197(19), 1699-1714.
Glowinski, R., Pan, T. W., Hesla, T. I., & Joseph, D. D. (1999). A distributed Lagrange multiplier/ fictitious domain method for particulate flows. International Journal of Multiphase Flow, 25(5), 755-794.
Goldstein, D., Handler, R., & Sirovich, L. (1993). Modeling a no-slip flow boundary with an external force field. Journal of Computational Physics, 105(2), 354-366.
H¨ubner, B., Walhorn, E., & Dinkler, D. (2004). A monolithic approach to fluid-structure interaction using space-time finite elements. Computer Methods in Applied Mechanics and Engineering, 193(23), 2087-2104.
Heil, M., Hazel, A. L.,& Boyle, J. (2008). Solvers for large-displacement fluid-structure interaction problems: segregated versus monolithic approaches. Computational Mechanics, 43(1), 91-101.
Huang, W. X., & Sung, H. J. (2009). An immersed boundary method for fluid-flexible structure interaction. Computer Methods in Applied Mechanics and Engineering, 198(33), 2650-2661.
Huang, W. X., Shin, S. J., & Sung, H. J. (2007). Simulation of flexible filaments in a uniform flow by the immersed boundary method. Journal of Computational Physics, 226(2), 2206-2228.
Ii, S., Sugiyama, K., Takeuchi, S., Takagi, S., & Matsumoto, Y. (2011). An implicit full Eulerian method for the fluid-structure interaction problem. International Journal for Numerical Methods in Fluids, 65(13), 150-165.
Ii, S., Gong, X., Sugiyama, K.,Wu, J., Huang, H., & Takagi, S. (2012). A full Eulerian fluid-membrane coupling method with a smoothed volume-of-fluid approach. Communications in Computational Physics, 12(2), 544.
Ii, S., Sugiyama, K., Takagi, S., & Matsumoto, Y. (2012). A computational blood flow analysis in a capillary vessel including multiple red blood cells and platelets. Journal of Biomechanical Science and Engineering, 7(1), 72-83.
Kajishima, T., Takiguchi, S., Hamasaki, H., & Miyake, Y. (2001). Turbulence structure of particleladen flow in a vertical plane channel due to vortex shedding. JSME International Journal Series B, 44(4), 526-535.
Kajishima, T., & Takiguchi, S. (2002). Interaction between particle clusters and particle-induced turbulence. International Journal of Heat and Fluid Flow, 23(5), 639-646.
Kim, Y., & Peskin, C. S. (2006). 2-D parachute simulation by the immersed boundary method. SIAM Journal on Scientific Computing, 28(6), 2294-2312.
Lee, L., & LeVeque, R. J. (2003). An immersed interface method for incompressible Navier-Stokes equations. SIAM Journal on Scientific Computing, 25(3), 832-856.
Li. Z.(1994) The immersed interface method: A numerical approach to partial differential equations with interfaces. Ph.D. thesis, Department of Applied Mathematics, University of Washington, Seattle, WA
Li, Z. (1997). Immersed interface methods for moving interface problems. Numerical Algorithms, 14(4), 269-293.
Liu, W. K., Jun, S., & Zhang, Y. F. (1995). Reproducing kernel particle methods. International Journal for Numerical Methods in Fluids, 20(8-9), 1081-1106.
Luo, H., Mittal, R., Zheng, X., Bielamowicz, S. A., Walsh, R. J., & Hahn, J. K. (2008). An immersed boundary
method for flow-structure interaction in biological systems with application to phonation. Journal of computational physics, 227(22), 9303-9332.
Mittal, R., & Iaccarino, G. (2005). Immersed boundary methods. Annual Review of Fluid Mechanics, 37, 239-261.
Mo¨es, N., Dolbow, J., & Belytschko, T. (1999). A finite element method for crack growth without remeshing. International Journal for Numerical Methods in Engineering, 46, 131-150.
Mori, Y., & Peskin, C. S. (2008). Implicit second-order immersed boundary methods with boundary mass. Computer methods in applied mechanics and engineering, 197(25), 2049-2067.
Nagano, N., Sugiyama, K., Takeuchi, S., II, S., Takagi, S., & Matsumoto, Y. (2010). Full-Eulerian finite-difference simulation of fluid flow in hyperelastic wavy channel. Journal of Fluid Science and Technology, 5(3), 475-490.
Orlanski, I. (1976). A simple boundary condition for unbounded hyperbolic flows. Journal of Computational Physics, 21(3), 251-269.
Peskin, C. S., & Printz, B. F. (1993). Improved volume conservation in the computation of flows with immersed elastic boundaries. Journal of Computational Physics, 105(1), 33-46.
Peskin, C. S. (1977). Numerical analysis of blood flow in the heart. Journal of Computational Physics, 25(3), 220-252.
Peskin, C. S. (2002). The immersed boundary method. Acta numerica, 11(0), 479-517.
Sawada, T., & Hisada, T. (2007). Fluid-structure interaction analysis of the two-dimensional flag-inwind problem by an interface-tracking ALE finite element method. Computers & fluids, 36(1), 136-146.
Sawada, T., Tezuka, A., Hisada, T. (2008). Performance comparison between the fluid-shell coupled overlaying mesh method and the immersed boundary method. Transactions of JSCES, No.20080005, pp.1-14 (in Japanese).
Sawada, T. (2006). Study of the overlaying ALE mesh computations of fluid-structure interaction problems. Ph.D. thesis, The University of Tokyo (in Japanese).
ˇSidlof, P. (2007). Fluid-structure interaction in human vocal folds. Doctoral dissertation, ENSTA ParisTech.
Stockie, J. M. (1997). Analysis and computation of immersed boundaries, with application to pulp fibres. Doctoral dissertation, University of British Columbia.
Story, B. H., & Titze, I. R. (1995). Voice simulation with a body-cover model of the vocal folds. The Journal of the Acoustical Society of America, 97, 1249.
Sugiyama, K., Ii, S., Takeuchi, S., Takagi, S., & Matsumoto, Y. (2010). Full Eulerian simulations of biconcave neo-Hookean particles in a Poiseuille flow. Computational Mechanics, 46(1), 147-157.
Sugiyama, K., Ii, S., Takeuchi, S., Takagi, S., & Matsumoto, Y. (2011). A full Eulerian finite difference approach for solving fluid-structure coupling problems. Journal of Computational Physics, 230(3), 596-627.
Takeuchi, S., Yuki, Y., Ueyama, A., & Kajishima, T. (2010). A conservative momentum-exchange algorithm for interaction problem between fluid and deformable particles. International Journal for Numerical Methods in Fluids, 64(10-12), 1084-1101.
Tezduyar, T. E., Behr, M., & Liou, J. (1992). A new strategy for finite element computations involving moving boundaries and interfaces-the DSD/ST procedure: I. The concept and the preliminary numerical tests. Computer Methods in Applied Mechanics and Engineering, 94(3), 339-351.
Tezduyar, T. E., Behr, Mittal, S., & Liou, J. (1992). A new strategy for finite element computations involving moving boundaries and interfaces-the deforming-spatial-domain/space-time procedure: II. Computation of free-surface flows, two-liquid flows, and flows with drifting cylinders. Computer Methods in Applied Mechanics and Engineering, 94(3), 353-371.
Tezduyar, T. E. (1992). Stabilized finite element formulations for incompressible flow computations. Advances in Applied Mechanics, 28, 1-44.
Tezduyar, T. E., Sathe, S., Keedy, R., & Stein, K. (2006). Space-time finite element techniques for computation of fluid-structure interactions.
Turek, S., & Hron, J. (2006). Proposal for numerical benchmarking of fluid-structure interaction between an elastic object and laminar incompressible flow. Fluid-Structure Interaction. Springer
Berlin Heidelberg. 371-385.
Van Loon, R., Anderson, P. D., De Hart, J., & Baaijens, F. P. (2004). A combined fictitious domain/adaptive meshing method for fluid-structure interaction in heart valves. International Journal for Numerical Methods in Fluids, 46(5), 533-544.
Wang, X., & Liu, W. K. (2004). Extended immersed boundary method using FEM and RKPM. Computer Methods in Applied Mechanics and Engineering, 193(12), 1305-1321.
Wiegmann, A., & Bube, K. P. (2000). The explicit-jump immersed interface method: finite difference methods for PDEs with piecewise smooth solutions. SIAM Journal on Numerical Analysis, 37(3), 827-862.
Wriggers, P. (2006). Computational contact mechanics second edition, Springer
Xu, S., & Wang, Z. J. (2006). An immersed interface method for simulating the interaction of a fluid with moving boundaries. Journal of Computational Physics, 216(2), 454-493.
Yuki, Y., Takeuchi, S., & Kajishima, T. (2007). Efficient immersed boundary method for strong interaction problem of arbitrary shape object with the self-induced flow. Journal of Fluid Science and Technology, 2(1), 1-11.
Zhang, Q., & Hisada, T. (2004). Studies of the strong coupling and weak coupling methods in FSI analysis. International Journal for Numerical Methods in Engineering, 60(12), 2013-2029.
Zhang, L., Gerstenberger, A., Wang, X., & Liu, W. K. (2004). Immersed finite element method. Computer Methods in Applied Mechanics and Engineering, 193(21), 2051-2067.
Zheng, X., Bielamowicz, S., Luo, H., & Mittal, R. (2009). A computational study of the effect of false vocal folds on glottal flow and vocal fold vibration during phonation. Anunals of biomedical engineering, 37(3), 625-642.
Zilian, A., & Legay, A. (2008). The enriched space-time finite element method (EST) for simultaneous solution of fluid-structure interaction. International Journal for Numerical Methods in Engineering, 75(3), 305-334.
