Computational engineering analysis with the new-generation space–time methods
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  • 作者：Kenji Takizawa (1)
  • 关键词：Bio ; inspired flapping ; wing aerodynamics ; MAV ; Wind ; turbine aerodynamics ; Cardiovascular fluid mechanics ; Space–time methods ; DSD/SST method ; ST ; SUPS method ; ST ; VMS method ; NURBS in time ; STNMUM ; ST with continuous temporal representation ; ST ; C ; ST with topology change ; ST ; TC
  • 刊名：Computational Mechanics
  • 出版年：2014
  • 出版时间：August 2014
  • 年：2014
  • 卷：54
  • 期：2
  • 页码：193-211
  • 全文大小：3,417 KB
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    121. Takizawa K, Christopher J, Tezduyar TE, Sathe S (2010) Space-time finite element computation of arterial fluid-structure interactions with patient-specific data. Int J Numer Methods Biomed Eng 26:101-16. doi:10.1002/cnm.1241
    122. Tezduyar TE, Takizawa K, Moorman C, Wright S, Christopher J (2010) Multiscale sequentially-coupled arterial FSI technique. Comput Mech 46:17-9. doi:10.1007/s00466-009-0423-2
    123. Takizawa K, Moorman C, Wright S, Christopher J, Tezduyar TE (2010) Wall shear stress calculations in space-time finite element computation of arterial fluid-structure interactions. Comput Mech 46:31-1. doi:10.1007/s00466-009-0425-0
    124. Torii R, Oshima M, Kobayashi T, Takagi K, Tezduyar TE (2010) Influence of wall thickness on fluid-structure interaction computations of cerebral aneurysms. Int J Numer Methods Biomed Eng 26:336-47. doi:10.1002/cnm.1289
    125. Manguoglu M, Takizawa K, Sameh AH, Tezduyar TE (2010) Solution of linear systems in arterial fluid mechanics computations with boundary layer mesh refinement. Comput Mech 46:83-9. doi:10.1007/s00466-009-0426-z
    126. Torii R, Oshima M, Kobayashi T, Takagi K, Tezduyar TE (2010) Role of 0D peripheral vasculature model in fluid-structure interaction modeling of aneurysms. Comput Mech 46:43-2. doi:10.1007/s00466-009-0439-7
    127. Takizawa K, Moorman C, Wright S, Spielman T, Tezduyar TE (2011) Fluid-structure interaction modeling and performance analysis of the Orion spacecraft parachutes. Int J Numer Methods Fluids 65:271-85. doi:10.1002/fld.2348
    128. Takizawa K, Moorman C, Wright S, Purdue J, McPhail T, Chen PR, Warren J, Tezduyar TE (2011) Patient-specific arterial fluid-structure interaction modeling of cerebral aneurysms. Int J Numer Methods Fluids 65:308-23. doi:10.1002/fld.2360
    129. Takizawa K, Wright S, Moorman C, Tezduyar TE (2011) Fluid-structure interaction modeling of parachute clusters. Int J Numer Methods Fluids 65:286-07. doi:10.1002/fld.2359
    130. Manguoglu M, Takizawa K, Sameh AH, Tezduyar TE (2011) Nested and parallel sparse algorithms for arterial fluid mechanics computations with boundary layer mesh refinement. Int J Numer Methods Fluids 65:135-49. doi:10.1002/fld.2415
    131. Torii R, Oshima M, Kobayashi T, Takagi K, Tezduyar TE (2011) Influencing factors in image-based fluid-structure interaction computation of cerebral aneurysms. Int J Numer Methods Fluids 65:324-40. doi:10.1002/fld.2448
    132. Tezduyar TE, Takizawa K, Brummer T, Chen PR (2011) Space-time fluid-structure interaction modeling of patient-specific cerebral aneurysms. Int J Numer Methods Biomed Eng 27:1665-710. doi:10.1002/cnm.1433
    133. Manguoglu M, Takizawa K, Sameh AH, Tezduyar TE (2011) A parallel sparse algorithm targeting arterial fluid mechanics computations. Comput Mech 48:377-84. doi:10.1007/s00466-011-0619-0
    134. Takizawa K, Spielman T, Moorman C, Tezduyar TE (2012) Fluid-structure interaction modeling of spacecraft parachutes for simulation-based design. J Appl Mech 79:010907. doi:10.1115/1.4005070
    135. Takizawa K, Brummer T, Tezduyar TE, Chen PR (2012) A comparative study based on patient-specific fluid-structure interaction modeling of cerebral aneurysms. J Appl Mech 79:010908. doi:10.1115/1.4005071
    136. Takizawa K, Bazilevs Y, Tezduyar TE (2012) Space-time and ALE-VMS techniques for patient-specific cardiovascular fluid-structure interaction modeling. Arch Comput Methods Eng 19:171-25. doi:10.1007/s11831-012-9071-3
    137. Takizawa K, Tezduyar TE (2012) Bringing them down safely. Mech Eng 134:34-7
    138. Takizawa K, Tezduyar TE, Buscher A, Asada S (2013) “Space-time interface-tracking with topology change (ST-TC)- Comput Mech, October 2013, doi:10.1007/s00466-013-0935-7
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    155. Akin JE, Tezduyar T, Ungor M, Mittal S (2003) Stabilization parameters and Smagorinsky turbulence model. J Appl Mech 70:2-. doi:10.1115/1.1526569
    156. Akin JE, Tezduyar TE (2004) Calculation of the advective limit of the SUPG stabilization parameter for linear and higher-order elements. Comput Methods Appl Mech Eng 193:1909-922. doi:10.1016/j.cma.2003.12.050
    157. Tezduyar TE, Senga M (2006) Stabilization and shock-capturing parameters in SUPG formulation of compressible flows. Comput Methods Appl Mech Eng 195:1621-632. doi:10.1016/j.cma.2005.05.032
    158. Tezduyar TE, Senga M (2007) SUPG finite element computation of inviscid supersonic flows with YZ \(\beta \) shock-capturing. Comput & Fluids 36:147-59. doi: 10.1016/j.compfluid.2005.07.009
    159. Tezduyar TE, Senga M, Vicker D (2006) Computation of inviscid supersonic flows around cylinders and spheres with the SUPG formulation and YZ \(\beta \) shock-capturing. Comput Mech 38:469-81. doi: 10.1007/s00466-005-0025-6
    160. Tezduyar TE, Sathe S (2006) Enhanced-discretization selective stabilization procedure (EDSSP). Comput Mech 38:456-68. doi:10.1007/s00466-006-0056-7
    161. Catabriga L, Coutinho ALGA, Tezduyar TE (2005) Compressible flow SUPG parameters computed from element matrices. Commun Numer Methods Eng 21:465-76. doi:10.1002/cnm.759
    162. Catabriga L, Coutinho ALGA, Tezduyar TE (2006) Compressible flow SUPG parameters computed from degree-of-freedom submatrices. Comput Mech 38:334-43. doi:10.1007/s00466-006-0033-1
    163. Onate E, Valls A, Garcia J (2006) FIC/FEM formulation with matrix stabilizing terms for incompressible flows at low and high Reynolds numbers. Comput Mech 38:440-55
    164. Corsini A, Rispoli F, Santoriello A, Tezduyar TE (2006) Improved discontinuity-capturing finite element techniques for reaction effects in turbulence computation. Comput Mech 38:356-64. doi:10.1007/s00466-006-0045-x
    165. Rispoli F, Corsini A, Tezduyar TE (2007) Finite element computation of turbulent flows with the discontinuity-capturing directional dissipation (DCDD). Comput & Fluids 36:121-26. doi:10.1016/j.compfluid.2005.07.004
    166. Tezduyar TE, Ramakrishnan S, Sathe S (2008) Stabilized formulations for incompressible flows with thermal coupling. Int J Numer Methods Fluids 57:1189-209. doi:10.1002/fld.1743
    167. Rispoli F, Saavedra R, Corsini A, Tezduyar TE (2007) Computation of inviscid compressible flows with the V-SGS stabilization and YZ \(\beta \) shock-capturing. Int J Numer Methods Fluids 54:695-06. doi: 10.1002/fld.1447
    168. Bazilevs Y, Calo VM, Tezduyar TE, Hughes TJR (2007) YZ \(\beta \) discontinuity-capturing for advection-dominated processes with application to arterial drug delivery. Int J Numer Methods Fluids 54:593-08. doi: 10.1002/fld.1484
    169. Corsini A, Menichini C, Rispoli F, Santoriello A, Tezduyar TE (2009) A multiscale finite element formulation with discontinuity capturing for turbulence models with dominant reactionlike terms. J Appl Mech 76:021211. doi:10.1115/1.3062967
    170. Rispoli F, Saavedra R, Menichini F, Tezduyar TE (2009) Computation of inviscid supersonic flows around cylinders and spheres with the V-SGS stabilization and YZ \(\beta \) shock-capturing. J Appl Mech 76:021209. doi: 10.1115/1.3057496
    171. Hughes TJR, Scovazzi G, Tezduyar TE (2010) Stabilized methods for compressible flows. J Sci Comput 43:343-68. doi:10.1007/s10915-008-9233-5
    172. Corsini A, Iossa C, Rispoli F, Tezduyar TE (2010) A DRD finite element formulation for computing turbulent reacting flows in gas turbine combustors. Comput Mech 46:159-67. doi:10.1007/s00466-009-0441-0
    173. Hsu M-C, Bazilevs Y, Calo VM, Tezduyar TE, Hughes TJR (2010) Improving stability of stabilized and multiscale formulations in flow simulations at small time steps. Comput Methods Appl Mech Eng 199:828-40. doi:10.1016/j.cma.2009.06.019
    174. Corsini A, Rispoli F, Tezduyar TE (2011) Stabilized finite element computation of NOx emission in aero-engine combustors. Int J Numer Methods Fluids 65:254-70. doi:10.1002/fld.2451
    175. Corsini A, Rispoli F, Tezduyar TE (2012) Computer modeling of wave-energy air turbines with the SUPG/PSPG formulation and discontinuity-capturing technique. J Appl Mech 79:010910. doi:10.1115/1.4005060
    176. Corsini A, Rispoli F, Sheard AG, Tezduyar TE (2012) Computational analysis of noise reduction devices in axial fans with stabilized finite element formulations. Comput Mech 50:695-05. doi:10.1007/s00466-012-0789-4
    177. Kler PA, Dalcin LD, Paz RR, Tezduyar TE (2013) SUPG and discontinuity-capturing methods for coupled fluid mechanics and electrochemical transport problems. Comput Mech 51:171-85. doi:10.1007/s00466-012-0712-z
  • 作者单位：Kenji Takizawa (1)

    1. Department of Modern Mechanical Engineering and Waseda Institute for Advanced Study, Waseda University, 1-6-1 Nishi-Waseda, Shinjuku-ku, Tokyo, 169-8050, Japan
  • ISSN：1432-0924
文摘
This is an overview of the new directions we have taken the space–time (ST) methods in bringing solution and analysis to different classes of computationally challenging engineering problems. The classes of problems we have focused on include bio-inspired flapping-wing aerodynamics, wind-turbine aerodynamics, and cardiovascular fluid mechanics. The new directions for the ST methods include the variational multiscale version of the Deforming-Spatial-Domain/Stabilized ST method, using NURBS basis functions in temporal representation of the unknown variables and motion of the solid surfaces and fluid meshes, ST techniques with continuous representation in time, and ST interface-tracking with topology change. We describe the new directions and present examples of the challenging problems solved.

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