Space-time SUPG finite element computation of shallow-water flows with moving shorelines

Computational Mechanics

Volumn 48, Issue 3, 2011, Pages 293-306

  Takase, Shinsuke ^a   Kashiyama, Kazuo ^b   Tanaka, Seizo ^c   Tezduyar, Tayfun E ^d  

^a Research Center of Computational Mechanics Inc   (Japan)

^b CHUO UNIVERSITY   (Japan)

^c UNIVERSITY OF TOKYO   (Japan)

^d Rice University   (United States)

Author keywords

Background mesh; Moving shorelines; Shallow water equations; Space time finite element method; SUPG formulation; Wave runup

Indexed keywords

COMPRESSIBLE FLOW; EQUATIONS OF MOTION; FLOW OF WATER; HYDRAULICS; MESH GENERATION;

BACKGROUND MESH; MOVING SHORELINES; SHALLOW WATER EQUATIONS; SPACE-TIME FINITE ELEMENT METHOD; SUPG FORMULATION; WAVE RUNUP;

FINITE ELEMENT METHOD;

EID: 80052668989     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00466-011-0618-1     Document Type: Conference Paper

References (143)

1. TJR Hughes WK Liu TK Zimmermann 1981 Lagrangian-Eulerian finite element formulation for incompressible viscous flows Comput Methods Appl Mech Eng 29 329 349 659925 0482.76039
2. TE Tezduyar 1992 Stabilized finite element formulations for incompressible flow computations Adv Appl Mech 28 1 44 10.1016/S0065-2156(08) 70153-4 1157639 0747.76069
3. TE Tezduyar M Behr J Liou 1992 A new strategy for finite element computations involving moving boundaries and interfaces-the deforming-spatial- domain/space-time procedure: I. The concept and the preliminary numerical tests Comput Methods Appl Mech Eng 94 339 351 10.1016/0045-7825(92)90059-S 1153059 0745.76044
4. TE Tezduyar M Behr S Mittal J Liou 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 Comput Methods Appl Mech Eng 94 353 371 10.1016/0045-7825(92)90060-W 1153060 0745.76045
5. T Tezduyar S Aliabadi M Behr A Johnson S Mittal 1993 Parallel finite-element computation of 3D flows Computer 26 27 36 10.1109/2.237441
6. M Behr A Johnson J Kennedy S Mittal T Tezduyar 1993 Computation of incompressible flows with implicit finite element implementations on the connection machine Comput Methods Appl Mech Eng 108 99 118 10.1016/0045-7825(93) 90155-Q 1239934 0784.76046
7. TE Tezduyar SK Aliabadi M Behr S Mittal 1994 Massively parallel finite element simulation of compressible and incompressible flows Comput Methods Appl Mech Eng 119 157 177 10.1016/0045-7825(94)00082-4 0848.76040 (Pubitemid 289947)
8. S Mittal TE Tezduyar 1994 Massively parallel finite element computation of incompressible flows involving fluid-body interactions Comput Methods Appl Mech Eng 112 253 282 10.1016/0045-7825(94)90029-9 1263288 0846.76048 (Pubitemid 278032)
9. S Mittal TE Tezduyar 1995 Parallel finite element simulation of 3D incompressible flows-fluid-structure interactions Int J Numer Methods Fluids 21 933 953 10.1002/fld.1650211011 0873.76047
10. SK Aliabadi TE Tezduyar 1995 Parallel fluid dynamics computations in aerospace applications Int J Numer Methods Fluids 21 783 805 10.1002/fld.1650211003 1368694 0862.76033
11. T Tezduyar S Aliabadi M Behr A Johnson V Kalro M Litke 1996 Flow simulation and high performance computing Comput Mech 18 397 412 10.1007/BF00350249 0893.76046 (Pubitemid 126545878)
12. AA Johnson TE Tezduyar 1997 Parallel computation of incompressible flows with complex geometries Int J Numer Methods Fluids 24 1321 1340 10.1002/(SICI)1097-0363(199706)24:12<1321::AID-FLD562>3.3.CO;2-C 0882.76044
13. I Guler M Behr T Tezduyar 1999 Parallel finite element computation of free-surface flows Comput Mech 23 117 123 10.1007/s004660050391
14. AA Johnson TE Tezduyar 1999 Advanced mesh generation and update methods for 3D flow simulations Comput Mech 23 130 143 10.1007/s004660050393 0949.76049
15. M Behr T Tezduyar 1999 The shear-slip mesh update method Comput Methods Appl Mech Eng 174 261 274 10.1016/S0045-7825(98)00299-0 0959.76037 (Pubitemid 29421320)
16. V Kalro TE Tezduyar 2000 A parallel 3D computational method for fluid-structure interactions in parachute systems Comput Methods Appl Mech Eng 190 321 332 10.1016/S0045-7825(00)00204-8 0993.76044
17. K Stein R Benney V Kalro TE Tezduyar J Leonard M Accorsi 2000 Parachute fluid-structure interactions: 3-D computation Comput Methods Appl Mech Eng 190 373 386 10.1016/S0045-7825(00)00208-5 0973.76055
18. TE Tezduyar 2001 Finite element methods for flow problems with moving boundaries and interfaces Arch Comput Methods Eng 8 83 130 10.1007/BF02897870 1039.76037 (Pubitemid 33679846)
19. T Tezduyar Y Osawa 2001 Fluid-structure interactions of a parachute crossing the far wake of an aircraft Comput Methods Appl Mech Eng 191 717 726 10.1016/S0045-7825(01)00311-5 1113.76407 (Pubitemid 34004498)
20. K Stein R Benney T Tezduyar J Potvin 2001 Fluid-structure interactions of a cross parachute: Numerical simulation Comput Methods Appl Mech Eng 191 673 687 10.1016/S0045-7825(01)00312-7 0999.76085 (Pubitemid 34004496)
21. R Ohayon 2001 Reduced symmetric models for modal analysis of internal structural-acoustic and hydroelastic-sloshing systems Comput Methods Appl Mech Eng 190 3009 3019 0971.74032 (Pubitemid 32386244)
22. K Stein T Tezduyar R Benney 2003 Mesh moving techniques for fluid-structure interactions with large displacements J Appl Mech 70 58 63 10.1115/1.1530635 1110.74689
23. TE Tezduyar 2003 Computation of moving boundaries and interfaces and stabilization parameters Int J Numer Methods Fluids 43 555 575 10.1002/fld.505 2022905 1032.76605 (Pubitemid 37343253)
24. K Stein TE Tezduyar R Benney 2004 Automatic mesh update with the solid-extension mesh moving technique Comput Methods Appl Mech Eng 193 2019 2032 10.1016/j.cma.2003.12.046 1067.74587 (Pubitemid 38463395)
25. EH van Brummelen R de Borst 2005 On the nonnormality of subiteration for a fluid-structure interaction problem SIAM J Sci Comput 27 599 621 2202236 1136.65334
26. TE Tezduyar S Sathe R Keedy K Stein 2006 Space-time finite element techniques for computation of fluid-structure interactions Comput Methods Appl Mech Eng 195 2002 2027 10.1016/j.cma.2004.09.014 2202912 1118.74052 (Pubitemid 43193531)
27. TE Tezduyar S Sathe K Stein 2006 Solution techniques for the fully-discretized equations in computation of fluid-structure interactions with the space-time formulations Comput Methods Appl Mech Eng 195 5743 5753 10.1016/j.cma.2005.08.023 2243324 1123.76035 (Pubitemid 43942199)
28. R Torii M Oshima T Kobayashi K Takagi TE Tezduyar 2006 Computer modeling of cardiovascular fluid-structure interactions with the deforming-spatial- domain/stabilized space-time formulation Comput Methods Appl Mech Eng 195 1885 1895 10.1016/j.cma.2005.05.050 2203997 1178.76241 (Pubitemid 43116279)
29. R Torii M Oshima T Kobayashi K Takagi TE Tezduyar 2006 Fluid-structure interaction modeling of aneurysmal conditions with high and normal blood pressures Comput Mech 38 482 490 10.1007/s00466-006-0065-6 1160.76061 (Pubitemid 43967455)
30. Y Bazilevs VM Calo Y Zhang TJR Hughes 2006 Isogeometric fluid-structure interaction analysis with applications to arterial blood flow Comput Mech 38 310 322 2246128 1161.74020 (Pubitemid 43970670)
31. RA Khurram A Masud 2006 A multiscale/stabilized formulation of the incompressible Navier-Stokes equations for moving boundary flows and fluid-structure interaction Comput Mech 38 403 416 1184.76720 (Pubitemid 43967449)
32. TE Tezduyar 2007 Finite elements in fluids: stabilized formulations and moving boundaries and interfaces Comput Fluids 36 191 206 10.1016/j.compfluid. 2005.02.011 2288426 1177.76202 (Pubitemid 44689193)
33. Brenk M, Bungartz H-J, Mehl M, Neckel T (2006) Fluid-structure interaction on Cartesian grids: flow simulation and coupling environment. In: Bungartz H-J, Schafer M (eds) Fluid-structure interaction. Lecture notes in computational science and engineering, vol 53. Springer, Berlin, pp 233-269
34. TE Tezduyar S Sathe T Cragin B Nanna BS Conklin J Pausewang M Schwaab 2007 Modeling of fluid-structure interactions with the space-time finite elements: arterial fluid mechanics Int J Numer Methods Fluids 54 901 922 10.1002/fld.1443 2333014 05169598 (Pubitemid 47009684)
35. R Torii M Oshima T Kobayashi K Takagi TE Tezduyar 2007 Influence of wall elasticity in patient-specific hemodynamic simulations Comput Fluids 36 160 168 10.1016/j.compfluid.2005.07.014 1113.76105 (Pubitemid 44615426)
36. MA Cruchaga DJ Celentano TE Tezduyar 2007 Collapse of a liquid column: numerical simulation and experimental validation Comput Mech 39 453 476 10.1007/s00466-006-0043-z 1160.76013 (Pubitemid 46094745)
37. T Sawada T Hisada 2007 Fluid-structure interaction analysis of the two dimensional flag-in-wind problem by an interface tracking ALE finite element method Comput Fluids 36 136 146 1181.76099 (Pubitemid 44615424)
38. TE Tezduyar S Sathe 2007 Modeling of fluid-structure interactions with the space-time finite elements: solution techniques Int J Numer Methods Fluids 54 855 900 10.1002/fld.1430 2333013 1144.74044 (Pubitemid 47009683)
39. K Takizawa T Yabe Y Tsugawa TE Tezduyar H Mizoe 2007 Computation of free-surface flows and fluid-object interactions with the CIP method based on adaptive meshless Soroban grids Comput Mech 40 167 183 10.1007/s00466-006-0093-2 1177.76300 (Pubitemid 46723553)
40. K Takizawa K Tanizawa T Yabe TE Tezduyar 2007 Ship hydrodynamics computations with the CIP method based on adaptive Soroban grids Int J Numer Methods Fluids 54 1011 1019 10.1002/fld.1466 05169603 (Pubitemid 47009689)
41. T Yabe K Takizawa TE Tezduyar H-N Im 2007 Computation of fluid-solid and fluid-fluid interfaces with the CIP method based on adaptive Soroban grids-an overview Int J Numer Methods Fluids 54 841 853 10.1002/fld.1473 2333012 05169596 (Pubitemid 47009682)
42. R Torii M Oshima T Kobayashi K Takagi TE Tezduyar 2007 Numerical investigation of the effect of hypertensive blood pressure on cerebral aneurysm-dependence of the effect on the aneurysm shape Int J Numer Methods Fluids 54 995 1009 10.1002/fld.1497 2333018 05169602 (Pubitemid 47009688)
43. M Manguoglu AH Sameh TE Tezduyar S Sathe 2008 A nested iterative scheme for computation of incompressible flows in long domains Comput Mech 43 73 80 10.1007/s00466-008-0276-0 2443160 05599789
44. TE Tezduyar S Sathe J Pausewang M Schwaab J Christopher J Crabtree 2008 Interface projection techniques for fluid-structure interaction modeling with moving-mesh methods Comput Mech 43 39 49 10.1007/s00466-008-0261-7 05599787
45. TE Tezduyar S Sathe J Pausewang M Schwaab J Christopher J Crabtree 2008 Fluid-structure interaction modeling of ringsail parachutes Comput Mech 43 133 142 10.1007/s00466-008-0260-8 1209.74022
46. TE Tezduyar S Sathe M Schwaab BS Conklin 2008 Arterial fluid mechanics modeling with the stabilized space-time fluid-structure interaction technique Int J Numer Methods Fluids 57 601 629 10.1002/fld.1633 2419893 05320760
47. S Sathe TE Tezduyar 2008 Modeling of fluid-structure interactions with the space-time finite elements: contact problems Comput Mech 43 51 60 10.1007/s00466-008-0299-6 2443160 05599793
48. R Torii M Oshima T Kobayashi K Takagi TE Tezduyar 2008 Fluid-structure interaction modeling of a patient-specific cerebral aneurysm: influence of structural modeling Comput Mech 43 151 159 10.1007/s00466-008-0325-8 1169.74032
49. Y Bazilevs VM Calo TJR Hughes Y Zhang 2008 Isogeometric fluid-structure interaction: theory, algorithms, and computations Comput Mech 43 3 37 2443159 1169.74015
50. JG Isaksen Y Bazilevs T Kvamsdal Y Zhang JH Kaspersen K Waterloo B Romner T Ingebrigtsen 2008 Determination of wall tension in cerebral artery aneurysms by numerical simulation Stroke 39 3172 3178
51. WG Dettmer D Peric 2008 On the coupling between fluid flow and mesh motion in the modelling of fluid-structure interaction Comput Mech 43 81 90 05599784
52. TE Tezduyar M Schwaab S Sathe 2009 Sequentially-coupled arterial fluid-structure interaction (SCAFSI) technique Comput Methods Appl Mech Eng 198 3524 3533 10.1016/j.cma.2008.05.024 2571820 05634688
53. R Torii M Oshima T Kobayashi K Takagi TE Tezduyar 2009 Fluid-structure interaction modeling of blood flow and cerebral aneurysm: significance of artery and aneurysm shapes Comput Methods Appl Mech Eng 198 3613 3621 10.1016/j.cma.2008.08.020 2571825 05634694
54. M Manguoglu AH Sameh F Saied TE Tezduyar S Sathe 2009 Preconditioning techniques for nonsymmetric linear systems in computation of incompressible flows J Appl Mech 76 021204 10.1115/1.3059576
55. Y Bazilevs JR Gohean TJR Hughes RD Moser Y Zhang 2009 Patient-specific isogeometric fluid-structure interaction analysis of thoracic aortic blood flow due to implantation of the Jarvik 2000 left ventricular assist device Comput Methods Appl Mech Eng 198 3534 3550 2571821 05634689
56. Y Bazilevs M-C Hsu D Benson S Sankaran A Marsden 2009 Computational fluid-structure interaction: methods and application to a total cavopulmonary connection Comput Mech 45 77 89 2546594 05641588
57. K Takizawa J Christopher TE Tezduyar S Sathe 2010 Space-time finite element computation of arterial fluid-structure interactions with patient-specific data Int J Numer Methods Biomed Eng 26 101 116 10.1002/cnm.1241 1180.92023
58. K Takizawa C Moorman S Wright J Christopher TE Tezduyar 2010 Wall shear stress calculations in space-time finite element computation of arterial fluid-structure interactions Comput Mech 46 31 41 10.1007/s00466-009-0425-0 2644394 05723636
59. TE Tezduyar K Takizawa C Moorman S Wright J Christopher 2010 Multiscale sequentially-coupled arterial FSI technique Comput Mech 46 17 29 10.1007/s00466-009-0423-2 2644393 05723635
60. R Torii M Oshima T Kobayashi K Takagi TE Tezduyar 2010 Influence of wall thickness on fluid-structure interaction computations of cerebral aneurysms Int J Numer Methods Biomed Eng 26 336 347 10.1002/cnm.1289 2655869 1183.92050
61. M Manguoglu K Takizawa AH Sameh TE Tezduyar 2010 Solution of linear systems in arterial fluid mechanics computations with boundary layer mesh refinement Comput Mech 46 83 89 10.1007/s00466-009-0426-z 05723637
62. R Torii M Oshima T Kobayashi K Takagi TE Tezduyar 2010 Role of 0D peripheral vasculature model in fluid-structure interaction modeling of aneurysms Comput Mech 46 43 52 10.1007/s00466-009-0439-7 05723641
63. Y Bazilevs M-C Hsu Y Zhang W Wang X Liang T Kvamsdal R Brekken J Isaksen 2010 A fully-coupled fluid-structure interaction simulation of cerebral aneurysms Comput Mech 46 3 16 2644392 05723634
64. TE Tezduyar K Takizawa C Moorman S Wright J Christopher 2010 Space-time finite element computation of complex fluid-structure interactions Int J Numer Methods Fluids 64 1201 1218 10.1002/fld.2221 05836344
65. Y Bazilevs M-C Hsu Y Zhang W Wang T Kvamsdal S Hentschel J Isaksen 2010 Computational fluid-structure interaction: methods and application to cerebral aneurysms Biomech Model Mechanobiol 9 481 498
66. J Kiendl Y Bazilevs M-C Hsu R Wüchner K-U Bletzinger 2010 The bending strip method for isogeometric analysis of Kirchhoff-Love shell structures comprised of multiple patches Comput Methods Appl Mech Eng 199 2403 2416
67. Y Bazilevs M-C Hsu I Akkerman S Wright K Takizawa B Henicke T Spielman TE Tezduyar 2011 3D simulation of wind turbine rotors at full scale. Part I: geometry modeling and aerodynamics Int J Numer Methods Fluids 65 207 235 10.1002/fld.2400 05837895
68. Y Bazilevs M-C Hsu J Kiendl R Wüchner K-U Bletzinger 2011 3D simulation of wind turbine rotors at full scale. Part II: fluid-structure interaction modeling with composite blades Int J Numer Methods Fluids 65 236 253 05837896
69. K Takizawa C Moorman S Wright T Spielman TE Tezduyar 2011 Fluid-structure interaction modeling and performance analysis of the Orion spacecraft parachutes Int J Numer Methods Fluids 65 271 285 10.1002/fld.2348 05837898
70. K Takizawa C Moorman S Wright J Purdue T McPhail PR Chen J Warren TE Tezduyar 2011 Patient-specific arterial fluid-structure interaction modeling of cerebral aneurysms Int J Numer Methods Fluids 65 308 323 10.1002/fld.2360 1203.92044
71. M-C Hsu Y Bazilevs 2011 Blood vessel tissue prestress modeling for vascular fluid-structure interaction simulations Finite Elem Anal Des 47 593 599
72. I Akkerman Y Bazilevs CE Kees MW Farthing 2011 Isogeometric analysis of free-surface flow J Comput Phys 230 4137 4152 05920226
73. K Takizawa S Wright C Moorman TE Tezduyar 2011 Fluid-structure interaction modeling of parachute clusters Int J Numer Methods Fluids 65 286 307 10.1002/fld.2359 05837899
74. M Manguoglu K Takizawa AH Sameh TE Tezduyar 2011 Nested and parallel sparse algorithms for arterial fluid mechanics computations with boundary layer mesh refinement Int J Numer Methods Fluids 65 135 149 10.1002/fld.2415 2790442 05837891
75. CE Kees I Akkerman MW Farthing Y Bazilevs 2011 A conservative level set method suitable for variable-order approximations and unstructured meshes J Comput Phys 230 4536 4558 05920248
76. 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 (published online). doi: 10.1002/cnm.1433, Feb 2011
77. Takizawa K, Tezduyar TE (2011) Multiscale space-time fluid-structure interaction techniques. Computat Mech (published online). doi: 10.1007/s00466-011-0571-z, Feb 2011
78. Takizawa K, Henicke B, Tezduyar TE, Hsu M-C, Bazilevs Y (2011) Stabilized space-time computation of wind-turbine rotor aerodynamics. Comput Mech (published online). doi: 10.1007/s00466-011-0589-2, March 2011
79. Takizawa K, Spielman T, Tezduyar TE (2011) Space-time FSI modeling and dynamical analysis of spacecraft parachutes and parachute clusters. Comput Mech (published online). doi: 10.1007/s00466-011-0590-9, April 2011
80. Takizawa K, Spielman T, Moorman C, Tezduyar TE (2011) Fluid-structure interaction modeling of spacecraft parachutes for simulation-based design. J Appl Mech (to appear)
81. Takizawa K, Brummer T, Tezduyar TE, Chen PR (2011) A comparative study based on patient-specific fluid-structure interaction modeling of cerebral aneurysms. J Appl Mech (to appear)
82. Takizawa K, Henicke B, Puntel A, Spielman T, Tezduyar TE (2011) Space-time computational techniques for the aerodynamics of flapping wings. J Appl Mech (to appear)
83. Takizawa K, Henicke B, Montes D, Tezduyar TE, Hsu M-C, Bazilevs Y (2011) Numerical-performance studies for the stabilized space-time computation of wind-turbine rotor aerodynamics. Comput Mech (published online). doi: 10.1007/s00466-011-0614-5, July 2011
84. Akkerman I, Bazilevs Y, Benson DJ, Farthing MW, Kees CE (2011) Free-surface flow and fluid-object interaction modeling with emphasis on ship hydrodynamics. J Appl Mech (accepted)
85. Hsu M-C, Akkerman I, Bazilevs Y (2011) High-performance computing of wind turbine aerodynamics using isogeometric analysis. Comput Fluids (published online). doi: 10.1016/j.compfluid.2011.05.002
86. Bazilevs Y, Hsu M-C, Kiendl J, Benson DJ (2011) A computational procedure for pre-bending of wind turbine blades. Int J Numer Methods Eng (accepted)
87. T Tezduyar S Aliabadi M Behr 1998 Enhanced-discretization interface-capturing technique (EDICT) for computation of unsteady flows with interfaces Comput Methods Appl Mech Eng 155 235 248 10.1016/S0045-7825(97)00194- 1 0961.76046 (Pubitemid 128402172)
88. AN Brooks TJR Hughes 1982 Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations Comput Methods Appl Mech Eng 32 199 259 679322 0497.76041
89. TJR Hughes TE Tezduyar 1984 Finite element methods for first-order hyperbolic systems with particular emphasis on the compressible Euler equations Comput Methods Appl Mech Eng 45 217 284 10.1016/0045-7825(84)90157-9 759810 0542.76093 (Pubitemid 14640721)
90. TE Tezduyar S Mittal SE Ray R Shih 1992 Incompressible flow computations with stabilized bilinear and linear equal-order-interpolation velocity-pressure elements Comput Methods Appl Mech Eng 95 221 242 10.1016/0045-7825(92)90141-6 0756.76048
91. TJR Hughes 1995 Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles, and the origins of stabilized methods Comput Methods Appl Mech Eng 127 387 401 0866.76044
92. TJR Hughes AA Oberai L Mazzei 2001 Large eddy simulation of turbulent channel flows by the variational multiscale method Phys Fluids 13 1784 1799 (Pubitemid 32533505)
93. Y Bazilevs VM Calo JA Cottrel TJR Hughes A Reali G Scovazzi 2007 Variational multiscale residual-based turbulence modeling for large eddy simulation of incompressible flows Comput Methods Appl Mech Eng 197 173 201 1169.76352 (Pubitemid 47576934)
94. AA Johnson TE Tezduyar 1994 Mesh update strategies in parallel finite element computations of flow problems with moving boundaries and interfaces Comput Methods Appl Mech Eng 119 73 94 10.1016/0045-7825(94)00077-8 0848.76036 (Pubitemid 289971)
95. M Behr T Tezduyar 2001 Shear-slip mesh update in 3D computation of complex flow problems with rotating mechanical components Comput Methods Appl Mech Eng 190 3189 3200 10.1016/S0045-7825(00)00388-1 1012.76042 (Pubitemid 32386248)
96. Torii R, Oshima M, Kobayashi T, Takagi K, Tezduyar TE (2004) Influence of wall elasticity on image-based blood flow simulation. Jpn Soc Mech Eng J Ser A 70:1224-1231 (in Japanese)
97. SK Aliabadi TE Tezduyar 1993 Space-time finite element computation of compressible flows involving moving boundaries and interfaces Comput Methods Appl Mech Eng 107 209 223 10.1016/0045-7825(93)90176-X 0798.76037 (Pubitemid 23711832)
98. GJ Le Beau SE Ray SK Aliabadi TE Tezduyar 1993 SUPG finite element computation of compressible flows with the entropy and conservation variables formulations Comput Methods Appl Mech Eng 104 397 422 10.1016/0045-7825(93) 90033-T 0772.76037
99. Tezduyar TE, Hughes TJR (1982) Development of time-accurate finite element techniques for first-order hyperbolic systems with particular emphasis on the compressible Euler equations. NASA technical report NASA-CR-204772, NASA. http://ntrs.nasa.gov/archive/nasa/casi.ntrs.nasa.gov/19970023187-1997034954.pdf
100. Tezduyar TE, Hughes TJR (1983) Finite element formulations for convection dominated flows with particular emphasis on the compressible Euler equations. In: Proceedings of AIAA 21st aerospace sciences meeting, AIAA paper 83-0125, Reno, Nevada
101. TJR Hughes M Mallet 1986 A new finite element formulation for computational fluid dynamics: IV. A discontinuity-capturing operator for multidimensional advective-diffusive systems Comput Methods Appl Mech Eng 58 329 339 865672 0587.76120
102. TJR Hughes LP Franca M Mallet 1987 A new finite element formulation for computational fluid dynamics: VI. Convergence analysis of the generalized SUPG formulation for linear time-dependent multi-dimensional advective-diffusive systems Comput Methods Appl Mech Eng 63 97 112 896773 0635.76066 (Pubitemid 17638984)
103. Le Beau GJ, Tezduyar TE (1991) Finite element computation of compressible flows with the SUPG formulation. In: Advances in finite element analysis in fluid dynamics, FED-vol 123. ASME, New York, pp 21-27
104. TE Tezduyar YJ Park 1986 Discontinuity capturing finite element formulations for nonlinear convection-diffusion-reaction equations Comput Methods Appl Mech Eng 59 307 325 10.1016/0045-7825(86)90003-4 0593.76096 (Pubitemid 17498814)
105. TE Tezduyar Y Osawa 2000 Finite element stabilization parameters computed from element matrices and vectors Comput Methods Appl Mech Eng 190 411 430 10.1016/S0045-7825(00)00211-5 0973.76057
106. L Catabriga ALGA Coutinho TE Tezduyar 2005 Compressible flow SUPG parameters computed from element matrices Commun Numer Methods Eng 21 465 476 10.1002/cnm.759 2165020 02225436 (Pubitemid 41320798)
107. L Catabriga ALGA Coutinho TE Tezduyar 2006 Compressible flow SUPG parameters computed from degree-of-freedom submatrices Comput Mech 38 334 343 10.1007/s00466-006-0033-1 1176.76061 (Pubitemid 43967443)
108. Tezduyar TE (2004) Finite element methods for fluid dynamics with moving boundaries and interfaces. In: Stein E, Borst RD, Hughes TJR (eds) Encyclopedia of computational mechanics. Fluids, vol 3, Chap 17. Wiley, New York
109. TE Tezduyar M Senga 2006 Stabilization and shock-capturing parameters in SUPG formulation of compressible flows Comput Methods Appl Mech Eng 195 1621 1632 10.1016/j.cma.2005.05.032 2203985 1122.76061 (Pubitemid 43116267)
110. TE Tezduyar M Senga 2007 SUPG finite element computation of inviscid supersonic flows with YZβ shock-capturing Comput Fluids 36 147 159 10.1016/j.compfluid.2005.07.009 1127.76029 (Pubitemid 44615425)
111. TE Tezduyar M Senga D Vicker 2006 Computation of inviscid supersonic flows around cylinders and spheres with the SUPG formulation and YZβ shock-capturing Comput Mech 38 469 481 10.1007/s00466-005-0025-6 1176.76077 (Pubitemid 43967454)
112. A Corsini F Rispoli A Santoriello 2005 A variational multiscale high-order finite element formulation for turbomachinery flow computations Comput Methods Appl Mech Eng 194 4797 4823 2159452 1093.76032 (Pubitemid 41110170)
113. F Rispoli R Saavedra 2006 A stabilized finite element method based on SGS models for compressible flows Comput Methods Appl Mech Eng 196 652 664 1120.76331 (Pubitemid 46158215)
114. F Rispoli R Saavedra A Corsini TE Tezduyar 2007 Computation of inviscid compressible flows with the V-SGS stabilization and YZβ shock-capturing Int J Numer Methods Fluids 54 695 706 10.1002/fld.1447 2333006 1207.76104 (Pubitemid 47009675)
115. F Rispoli R Saavedra F Menichini TE Tezduyar 2009 Computation of inviscid supersonic flows around cylinders and spheres with the V-SGS stabilization and YZβ shock-capturing J Appl Mech 76 021209 10.1115/1.3057496
116. L Catabriga DAF de Souza ALGA Coutinho TE Tezduyar 2009 Three-dimensional edge-based SUPG computation of inviscid compressible flows with YZβ shock-capturing J Appl Mech 76 021208 10.1115/1.3062968
117. M Kawahara N Takeuchi T Yoshida 1978 Two step explicit finite element method for tsunami wave-propagation analysis Int J Numer Methods Eng 12 331 351 0375.76003 (Pubitemid 8580801)
118. M Kawahara H Hirano K Tsubota K Inagaki 1982 Selective lumping finite element method for shallow water flow Int J Numer Methods Fluids 2 89 112 0483.76023
119. TC Gopalakrishnan CC Tung 1983 Numerical analysis of moving boundary problem in coastal hydrodynamics Int J Numer Methods Fluids 3 179 200 0521.76022 (Pubitemid 13521942)
120. M Kawahara K Kashiyama 1984 Selective lumping finite element method for nearshore current Int J Numer Methods Fluids 4 71 97 0553.76035 (Pubitemid 14551545)
121. M Kawahara T Umetsu 1986 Finite element method for moving boundary problems in river flow Int J Numer Methods Fluids 6 365 386 0597.76014
122. T Okamoto M Kawahara N Ioki H Nagaoka 1992 Two-dimensional wave runup analysis by selective lumping finite element method Int J Numer Methods Fluids 14 1219 1243 0753.76102
123. K Kashiyama H Ito M Behr T Tezduyar 1995 Three-step explicit finite element computation of shallow water flows on a massively parallel computer Int J Numer Methods Fluids 21 885 900 10.1002/fld.1650211009 0861.76044
124. Luettich RA, Westerink JJ (1995) Implementation and testing of elemental flooding and drying in the ADCIRC hydrodynamic model. Final contract report DACW39-94-M-5869, US Army Corps of Engineers
125. K Kashiyama K Saitoh M Behr TE Tezduyar 1997 Parallel finite element methods for large-scale computation of storm surges and tidal flows Int J Numer Methods n Fluids 24 1371 1389 10.1002/(SICI)1097-0363(199706)24:12<1371::AID- FLD565>3.0.CO;2-7 0881.76052 (Pubitemid 27420085)
126. K Kashiyama Y Ohba T Takagi M Behr T Tezduyar 1999 Parallel finite element method utilizing the mode splitting and sigma coordinate for shallow water flows Comput Mech 23 144 150 10.1007/s004660050394 0949.76050
127. Kashiyama K, Sugano S, Behr M, Tezduyar TE (1999) Space-time finite element method for shallow water flows considering moving boundaries. In: Proceedings of the 3rd ASME/JSME joint fluids engineering conference, San Francisco, California (1999)
128. M Heniche Y Secretan P Boudreau M Leclerc 2000 A two-dimensional finite element drying-wetting shallow water model for rivers and estuaries Adv Water Resour 23 360 371
129. C Dawson JJ Westerink JC Feyen D Pothian 2006 Edge-based finite element method for shallow water equations Int J Numer Methods Fluids 52 63 88 1097.76048
130. EJ Kubatko S Bunya C Dawson JJ Westerink 2009 Dynamic p-adaptive Runge-Kutta discontinuous Galerkin methods for the shallow water equations Comput Methods Appl Mech Eng 198 1766 1774 2513368
131. S Bunya EJ Kubatko JJ Westerink C Dawson 2009 Wetting and drying treatment for the Runge-Kutta discontinuous Galerkin solution to the shallow water equations Comput Methods Appl Mech Eng 198 1548 1562 2513368
132. S Takase K Kashiyama S Tanaka TE Tezduyar 2010 Space-time SUPG formulation of the shallow-water equations Int J Numer Methods Fluids 64 1379 1394 10.1002/fld.2464 2767207 05836353
133. F Rispoli A Corsini TE Tezduyar 2007 Finite element computation of turbulent flows with the discontinuity-capturing directional dissipation (DCDD) Comput Fluids 36 121 126 10.1016/j.compfluid.2005.07.004 1181.76098 (Pubitemid 44615422)
134. S Tanaka K Kashiyama 2006 A new mesh re-generation technique for free surface flow analysis based on interface-tracking method J Struct Mech Earthq Eng 2 269 277
135. S Tanaka K Kashiyama 2006 ALE finite element method for FSI problems with free surface using mesh re-generation method based on background mesh Int J Comput Fluid Dyn 20 229 236 1131.76037 (Pubitemid 44371376)
136. Dean RG, Dalrymple RA (1984) Water wave mechanics for engineers and scientists. Prentice-Hall, New Jersey
137. S Mittal S Aliabadi T Tezduyar 1999 Parallel computation of unsteady compressible flows with the EDICT Comput Mech 23 151 157 10.1007/s004660050395 0951.76045
138. TE Tezduyar S Sathe 2006 Enhanced-discretization selective stabilization procedure (EDSSP) Comput Mech 38 456 468 10.1007/s00466-006-0056-7 1187.76712 (Pubitemid 43967453)
139. A Corsini F Rispoli A Santoriello TE Tezduyar 2006 Improved discontinuity-capturing finite element techniques for reaction effects in turbulence computation Comput Mech 38 356 364 10.1007/s00466-006-0045-x 2246130 1177.76192 (Pubitemid 43967445)
140. A Corsini C Menichini F Rispoli A Santoriello TE Tezduyar 2009 A multiscale finite element formulation with discontinuity capturing for turbulence models with dominant reactionlike terms J Appl Mech 76 021211 10.1115/1.3062967
141. A Corsini C Iossa F Rispoli TE Tezduyar 2010 A DRD finite element formulation for computing turbulent reacting flows in gas turbine combustors Comput Mech 46 159 167 10.1007/s00466-009-0441-0 2644406 05723642
142. N Tanaka 1999 The CIVA method for mesh-free approaches: improvement of the CIP method for n-simplex Comput Fluid Dyn J 8 121 127
143. GF Carrier HP Greenspan 1958 Water waves of finite amplitude on a sloping beach J Fluid Mech 4 97 109 96462 0080.19504