An improved local remeshing algorithm for moving boundary problems

References

• Ansys. (2011). ANSYS Fluent user’s guide. Release 14.0.
   Google Scholar
• Aubry, R., Dey, S., Karamete, K., & Mestreau, E. (2016). Smooth anisotropic sources with application to three-dimensional surface mesh generation. Engineering with Computers, 32(2), 313–330. doi:10.1007/s00366-015-0420-3
   Google Scholar
• Aubry, R., Karamete, K., Mestreau, E., Dey, S., & Löhner, R. (2013). Linear sources for mesh generation. SIAM Journal on Scientific Computing, 35(2), A886–A907. 10.1137/120874953
   Google Scholar
• Baker, T. J. (2003). Adaptive modification for time evolving meshes. Journal of Materials Science, 38(20), 4175–4182. doi:10.1023/A:1026385723850
   Google Scholar
• Batina, J. T. (1991). Unsteady Euler algorithm with unstructured dynamic mesh for complex-aircraft aerodynamic analysis. AIAA Journal, 29(3), 327–333. doi:10.2514/3.10583
   Google Scholar
• Biedron, R. T., & Thomas, J. L. (2009, January). Recent enhancements to the FUN3D flow solver for moving-mesh applications. Paper presented at the meeting of the 47th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition, Orlando, FL. AIAA 2009–1360. doi:10.2514/6.2009-1360
   Google Scholar
• Blom, F. J. (2000). Considerations on the spring analogy. International Journal for Numerical Methods in Fluids, 32(6), 647–668. http://dx.doi.org/10.1002/(SICI)1097-0363(20000330)32:6<647::AID-FLD979>3.0.CO;2-K
   Google Scholar
• Chen, J., Li, S., Zheng, J., & Zheng, Y. (2015, October). Parallel local remeshing for moving body applications. Research note presented at the meeting of the 24th International Meshing Roundtable, Austin, TX.
   Google Scholar
• Chen, J., Zhao, D., Huang, Z., Zheng, Y., & Gao, S. (2011). Three-dimensional constrained boundary recovery with an enhanced Steiner point suppression procedure. Computers and Structures, 89(5), 455–466. 10.1016/j.compstruc.2010.11.016
   Google Scholar
• Clarence, B. (2004, June–July). A robust unstructured grid movement strategy using three-dimensional torsional springs. Paper presented at the meeting of the 34th AIAA Fluid Dynamics Conference and Exhibit, Portland, OR. AIAA 2004–2529. doi:10.2514/6.2004-2529
   Google Scholar
• Compère, G., Remacle, J., Jansson, J., & Hoffman, J. (2010). A mesh adaptation framework for dealing with large deforming meshes. International Journal for Numerical Methods in Engineering, 82(7), 805–938. doi:10.1002/nme.2788
   Google Scholar
• de Cougny, H. L., & Shephard, M. S. (1995). Refinement, derefinement, and optimization of tetrahedral geometric triangulations in three dimensions. Unpublished manuscript. Rensselaer Polytechnic Institute, Troy, NY.
   Google Scholar
• Degand, C., & Farhat, C. (2002). A three-dimensional torsional spring analogy method for unstructured dynamic meshes. Computers and Structures, 80(3), 305–316. 10.1016/S0045-7949(02)00002-0
   Google Scholar
• de l’Isle, E. B., & George, P. L. (1995). Optimization of tetrahedral meshes. In I. Babuska, W. D. Henshaw, J. E. Oliger, J. E. Flaherty, J. E. Hopcroft, & T. Tezduyar (Eds.), Modeling, mesh generation, and adaptive numerical methods for partial differential equations (pp. 97–127). New York, NY: Springer.
   Google Scholar
• Du, Q., & Wang, D. (2004). Constrained boundary recovery for three dimensional Delaunay triangulations. International Journal for Numerical Methods in Engineering, 61(9), 1471–1500. doi:10.1002/nme.1120
   Google Scholar
• Eken, A., & Sahin, M. (2015). A parallel monolithic algorithm for the numerical simulation of large-scale fluid structure interaction problems. International Journal for Numerical Methods in Fluids. Advance online publication. 10.1002/fld.4169
   Google Scholar
• Freitag, L. A., & Ollivier-Gooch, C. (1997). Tetrahedral mesh improvement using swapping and smoothing. International Journal for Numerical Methods in Engineering, 40(21), 3979–4002. http://dx.doi.org/10.1002/(SICI)1097-0207(19971115)40:21<3979::AID-NME251>3.0.CO;2-9
   Google Scholar
• George, P. L. (1997). Improvements on Delaunay-based three-dimensional automatic mesh generator. Finite Elements in Analysis and Design, 25(3), 297–317. 10.1016/S0168-874X(96)00063-7
   Google Scholar
• George, P. L., Borouchaki, H., & Saltel, E. (2003). ‘Ultimate’ robustness in meshing an arbitrary polyhedron. International Journal for Numerical Methods in Engineering, 58(7), 1061–1089. doi:10.1002/nme.808
   Google Scholar
• Hassan, O., Probert, E. J., Morgan, K., & Weatherill, N. P. (2000). Unsteady flow simulation using unstructured meshes. Computer Methods in Applied Mechanics and Engineering, 189(4), 1247–1275. doi:10.1016/S0045-7825(99)00376-X
   Google Scholar
• Hassan, O., Sørensen, K. A., Morgan, K., & Weatherill, N. P. (2007). A method for time accurate turbulent compressible fluid flow simulation with moving boundary components employing local remeshing. International Journal for Numerical Methods in Fluids, 53(8), 1243–1266. doi:10.1002/fld.1255
   Google Scholar
• Heim, E. R. (1991). CFD wing/pylon/finned store mutual interference wind tunnel experiment. (AEDC-TSR-91-P4). Arnold AFS, TN: Arnold Engineering Development Center. Retrieved from http://oai.dtic.mil/oai/oai?verb=getRecord&metadataPrefix=html&identifier=ADB152669 (Last accessed on 23/3/2016)
   Google Scholar
• Jameson, A. (1991, June). Time dependent calculations using multigrid, with applications to unsteady flows past airfoils and wings. Paper presented at the meeting of the AIAA 10th Computational Fluid Dynamics Conference, Honolulu, HI. AIAA 91-1596. doi:10.2514/6.1991-1596
   Google Scholar
• Joe, B. (1995). Construction of three-dimensional improved-quality triangulations using local transformations. SIAM Journal on Scientific Computing, 16(6), 1292–1307. 10.1137/0916075
   Google Scholar
• Kannan, R., & Wang, Z. J. (2007). Overset adaptive Cartesian/prism grid method for stationary and moving-boundary flow problems. AIAA Journal, 45(7), 1774–1779. 10.2514/1.24200
   Google Scholar
• Karman, S. L., Anderson, W. K., & Sahasrabudhe, M. (2006). Mesh generation using unstructured computational meshes and elliptic partial differential equation smoothing. AIAA Journal, 44(6), 1277–1286. doi:10.2514/1.15929
   Google Scholar
• Karypis, G., & Kumar, V. (1998, November). Multilevel algorithms for multi-constraint graph partitioning. Paper presented at the meeting of the 1998 ACM/IEEE Conference on Supercomputing, San Jose, CA, 1–13. 10.1109/SC.1998.10018
   Google Scholar
• Klingner, B. M., & Shewchuk, J. R. (2007, October). Aggressive tetrahedral mesh improvement. Paper presented at the meeting of the 16th International Meshing Roundtable, Seattle, WA, 3–23. doi:10.1007/978-3-540-75103-8_1
   Google Scholar
• Liou, M. (2006). A sequel to AUSM, Part II: AUSM+-up for all speeds. Journal of Computational Physics, 214(1), 137–170. doi:10.1016/j.jcp.2005.09.020
   Google Scholar
• Liu, X., Qin, N., & Xia, H. (2006). Fast dynamic grid deformation based on Delaunay graph mapping. Journal of Computational Physics, 211(2), 405–423. 10.1016/j.jcp.2005.05.025
   Google Scholar
• Löhner, R. (1989). Adaptive remeshing for transient problems. Computer Methods in Applied Mechanics and Engineering, 75(1–3), 195–214. doi:10.1016/0045-7825(89)90024-8
   Google Scholar
• Löhner, R., Sharoy, D., Luo, H., & Ramamurti, R. (2001, July). Overlapping unstructured grids. Paper presented at the meeting of the 39th AIAA Aerospace Sciences Meeting and Exhibit, Reno, NV. AIAA 01-0439. 10.2514/6.2001-439
   Google Scholar
• McDaniel, D. R., & Morton, S. A. (2009, January). Efficient mesh deformation for computational stability and control analyses on unstructured viscous meshes. Paper presented at the meeting of the 47th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition, Orlando, FL. AIAA 2009–1363. 10.2514/6.2009-1363
   Google Scholar
• Menon, S., & Schmidt, D. P. (2011). Conservative interpolation on unstructured polyhedral meshes: An extension of the supermesh approach to cell-centered finite-volume variables. Computer Methods in Applied Mechanics and Engineering, 200(41), 2797–2804. 10.1016/j.cma.2011.04.025
   Google Scholar
• Misztal, M. K., Bærentzen, J. A., Anton, F., & Erleben, K. (2009, October). Tetrahedral mesh improvement using multi-face retriangulation. Paper presented at the meeting of the 18th International Meshing Roundtable, Salt Lake City, UT, 539–555. doi:10.1007/978-3-642-04319-2_31
   Google Scholar
• Morton, S. A., Melville, R. B., & Visbal, M. R. (1998). Accuracy and coupling issues of aeroelastic Navier-Stokes solutions on deforming meshes. Journal of Aircraft, 35(5), 798–805. doi:10.2514/2.2372
   Google Scholar
• Pirzadeh, S. Z. (2010). Advanced unstructured grid generation for complex aerodynamic applications. AIAA Journal, 48(5), 904–915. doi:10.2514/1.41355
   Google Scholar
• Prewitt, N. C., Belk, D. M., & Shyy, W. (2000). Parallel computing of overset grids for aerodynamic problems with moving objects. Progress in Aerospace Sciences, 36(2), 117–172. doi:10.1016/S0376-0421(99)00013-5
   Google Scholar
• Sharov, D., & Nakahashi, K. (1997, June–July). Reordering of 3-D hybrid unstructured grids for vectorized LU-SGS Navier-Stokes computations. Paper presented at the meeting of the 13th Computational Fluid Dynamics Conference, Snowmass Village, CO, 2102–2117. AIAA 97-2102. doi:10.2514/6.1997-2102
   Google Scholar
• Sheng, C., & Allen, C. B. (2013). Efficient mesh deformation using radial basis functions on unstructured meshes. AIAA Journal, 51(3), 707–720. doi:10.2514/1.J052126
   Google Scholar
• Shewchuk, J. R. (1996, May). Robust adaptive floating-point geometric predicates. Paper presented at the meeting of the 12th Annual Symposium on Computational Geometry, Philadelphia, PA, 141–150. doi:10.1145/237218.237337
   Google Scholar
• Si, H., & Gärtner, K. (2011). 3D boundary recovery by constrained Delaunay tetrahedralization. International Journal for Numerical Methods in Engineering, 85(11), 1341–1364. doi:10.1002/nme.3016
   Google Scholar
• Snyder, D. O., Koutsavdis, E. K., & Anttonen, J. S. (2003, June). Transonic store separation using unstructured CFD with dynamic meshing. Paper presented at the meeting of the 33rd AIAA Fluid Dynamics Conference and Exhibit, Orlando, FL. AIAA 2003–3919. doi:10.2514/6.2003-3919
   Google Scholar
• Stein, K., Tezduyar, T. E., & Benney, R. (2004). Automatic mesh update with the solid-extension mesh moving technique. Computer Methods in Applied Mechanics and Engineering, 193(21), 2019–2032. doi:10.1016/j.cma.2003.12.046
   Google Scholar
• Sun, X., Zhang, J., & Ren, X. (2012). Characteristic-based split (CBS) finite element method for incompressible viscous flow with moving boundaries. Engineering Applications of Computational Fluid Mechanics, 6(3), 461–474. 10.1080/19942060.2012.11015435
   Google Scholar
• Thomas, P. D., & Lombard, C. K. (1979). Geometric conservation law and its application to flow computations on moving grids. AIAA Journal, 17(10), 1030–1037. 10.2514/3.61273
   Google Scholar
• Togashi, F., Nakahashi, K., Ito, Y., Iwamiya, T., & Shimbo, Y. (2001). Flow simulation of NAL experimental supersonic airplane/booster separation using overset unstructured grids. Computers and Fluids, 30(6), 673–688. 10.1016/S0045-7930(00)00033-5
   Google Scholar
• Tremel, U., Sørensen, K. A., Hitzel, S., Rieger, H., Hassan, O., & Weatherill, N. P. (2007). Parallel remeshing of unstructured volume grids for CFD applications. International Journal for Numerical Methods in Fluids, 53(8), 1361–1379. 10.1002/fld.1195
   Google Scholar
• Venkatakrishnan, V. (1993, January). On the accuracy of limiters and convergence to steady state solutions. Paper presented at the meeting of the 31st AIAA Aerospace Sciences Meeting and Exhibit. Reno, NV. AIAA 93–0880. doi:10.2514/6.1993-880
   Google Scholar
• Wang, Z. J., & Parthasarathy, V. (2000). A fully automated Chimera methodology for multiple moving body problems. International Journal for Numerical Methods in Fluids, 33(7), 919–938. http://dx.doi.org/10.1002/1097-0363(20000815)33:7<919::AID-FLD944>3.0.CO;2-G
   Google Scholar
• Weatherill, N. P., & Hassan, O. (1994). Efficient three-dimensional Delaunay triangulation with automatic point creation and imposed boundary constraints. International Journal for Numerical Methods in Engineering, 37(12), 2005–2039. doi:10.1002/nme.1620371203
   Google Scholar
• Xie, L., Zheng, Y., Chen, J., & Zou, J. (2008). Enabling technologies in the problem solving environment HEDP. Communications in Computational Physics, 4(5), 1170–1193.
   Google Scholar
• Zeng, D., & Ethier, C. R. (2005). A semi-torsional spring analogy model for updating unstructured meshes in 3D moving domains. Finite Elements in Analysis and Design, 41(11), 1118–1139. doi:10.1016/j.finel.2005.01.003
   Google Scholar
• Zhang, L., Chang, X., Duan, X., Zhao, Z., & He, X. (2012). Applications of dynamic hybrid grid method for three-dimensional moving/deforming boundary problems. Computers and Fluids, 62, 45–63. 10.1016/j.compfluid.2012.03.008
   Google Scholar
• Zhang, Z., Gil, A. J., Hassan, O., & Morgan, K. (2008). The simulation of 3D unsteady incompressible flows with moving boundaries on unstructured meshes. Computers and Fluids, 37(5), 620–631. 10.1016/j.compfluid.2007.07.013
   Google Scholar
• Zheng, Y., Weatherill, N. P., & Turner-Smith, E. A. (2002). An interactive geometry utility environment for multi-disciplinary computational engineering. International Journal for Numerical Methods in Engineering, 53(6), 1277–1299. doi:10.1002/nme.288
   Google Scholar
• Zhou, X., & Xu, H. (2010). Gridless method for unsteady flows involving moving discrete points and its applications. Engineering Applications of Computational Fluid Mechanics, 4(2), 276–286. doi:10.1080/19942060.2010.11015316
   Google Scholar