[KSCI] Korea Science Citation Index Service

Computing transient flows with high elasticity

Roger I. Tanner (School of Aerospace, Mechanical and Mechatronic Engineering University of Sydney)
Xue, S-C (School of Aerospace, Mechanical and Mechatronic Engineering University of Sydney)

Publication Information

Korea-Australia Rheology Journal / v.14, no.4, 2002 , pp. 143-159 More about this Journal

Abstract

Although much progress has been made in the computation of Eulerian steady flows with high viscoelasticity, less work has been done for the case of transient flows. Because of their importance in injection moulding, blow moulding and other forming processes, as well as their Intrinsic interest, we believe more attention should be focussed in this area. Hence in this paper we review progress in unsteady flow computations with high elasticity, and show some new results in this area.

Keywords

viscoelasticity; computation; transient or unsteady flow;

Citations & Related Records

Times Cited By Web Of Science : 10 (Related Records In Web of Science)

Reference

1	/ [ Tsai, Chin-Chin;Ta-Jo, Liu ] / J. Non-Newt. Fluid Mech. DOI ScienceOn
2	/ [ Renardy, M. ] / J. Non-Newt. Fluid Mech. DOI ScienceOn
3	/ [ Issa, R. I. ] / J. Comput. Phys. DOI ScienceOn
4	/ [ Darwish, M. S.;J. R. Whiteman;M. J. Bevis ] / J. Non-Newt. Fluid Mech. DOI ScienceOn
5	/ [ Crochet, M. J.;R. Keunungs ] / J. Non-Newt. Fluid Mech. DOI ScienceOn
6	/ [ Saramito, P.;M. Piau ] / J. Non-Newt. Fluid Mech. DOI ScienceOn
7	/ [ Leal, L. G. ] / Laminar Flow and Convective Transport Processes
8	/ [ Van Kemenade, V.;M. O. Deville ] / J. Non-Newt. Fluid Mech. DOI ScienceOn
9	/ [ Finlayson, B. A. ] / The Method of Weighted Residuals and Variational Principles
10	/ [ Warichet, V.;V. Legat ] / J. Non-Newt. Fluid Mech. DOI ScienceOn
11	/ [ Gaskell, P. H.;A. K. C. Lau ] / Int. J. Num. Meth. Fluids DOI ScienceOn
12	/ [ Xue, S.-C.;N. Phan-Thien;R. I. Tanner ] / J. Non-Newt. Fluid Mech.
13	/ [ Patankar, S. V. ] / Numerical Heat Transfer and Fluid Flow
14	/ [ McKinley, G. H.;P. Pakdel;A. Oztekin ] / J. Non-Newt. Fluid Mech. DOI
15	/ [ Peyret, R.;T. D. Taylor ] / Computational Methods for Fluid Flow
16	/ [ Baaijens, F. P. T. ] / J. Non-Newt. Fluid Mech. DOI ScienceOn
17	/ [ Beris, A. N.;M. Avgousti;A. Souvaliotis ] / J. Non-Newt. Fluid Mech. DOI ScienceOn
18	/ [ Betlers, P. ] / Int. J. Numer. Meth. Eng.
19	/ [ Harlen, O. G.;J. M. Rallison;P. Szabo ] / J. Non-Newt. Fluid. Mech. DOI ScienceOn
20	/ [ Huang, X.-F.;N. Phan-Thien;R. I. Tanner ] / J. Non-Newt. Fluid Mech. DOI ScienceOn
21	/ [ Keunungs, R. ] / J. Comput. Phys. DOI
22	/ [ Marchal, J. M.;M. J. Crochet ] / J. Non-Newt. Fluid Mech. DOI ScienceOn
23	/ [ Phelan, F. R.;M. F. Malone;H. H. Winter ] / J. Non-Newt. Fluid Mech. DOI ScienceOn
24	/ [ Renardy, M. ] / Zeit. Angew. Math. Mech. DOI
25	/ [ Saramito, P. ] / Mathematical Modelling and Numerical Analysis DOI
26	/ [ Sasmal, G. P. ] / J. Non-Newt. Fluid Mech. DOI ScienceOn
27	/ [ Stokes, J. R.;L. J. W. Graham;N. J. Lawson;D. V. Boger ] / J. Fluid Mech. DOI
28	/ [ Wapperom, M. F.;M. F. Webster ] / Comput. Meth. Appl. Mech. Engrg. DOI
29	/ [ Xue, S.-C.;N. Phan-Thien;R. I. Tanner ] / J. Non-Newt. Fluid Mech. DOI ScienceOn
30	/ [ Xue, S.-C.;N. Phan-Thien;R. I. Tanner ] / J. Non-Newt. Fluid Mech.
31	/ [ Xue, S.-C.;R. I. Tanner;N. Phan-Thein ] / Comput. Methods Appl. Mech. Engrg. DOI
32	/ [ Bodart, C.;M. J. Crochet ] / J. Non-Newt. Fluid Mech. DOI ScienceOn
33	/ [ Wapperom, M. F.;M. F. Webster ] / J. Non-Newt. Fluid Mech. DOI ScienceOn
34	/ [ Xue, S.-C.;R. I. Tanner;N. Phan-Thein ] / J. Non-Newt. Fluid Mech.
35	/ [ Alves, M. A.;F. T. Pinho;P. J. Oliveira ] / J. Non-Newt. Fluid Mech. DOI
36	/ [ Atalik, K.;R. Keunings ] / J. Non-Newt. Fluid Mech. DOI ScienceOn
37	/ [ Bishko, G. B.;O. G. Harlen;T. C. B. McLeish;T. M. Nicholson ] / J. Non-Newt. Fluid Mech. DOI ScienceOn
38	/ [ Saad, Y.;M. H. Schultz ] / SIAM J. Sci. Statist. Comput.
39	/ [ Dimitropoulos, C. D.;R. Sureshkumar;A. N. Beris ] / J. Non-Newt. Fluid Mech. DOI ScienceOn
40	/ [ Fortin, M.;A. Fortin ] / J. Non-Newt. Fluid Mech.
41	/ [ Luo, X.-L. ] / J. Non-Newt. Fluid Mech. DOI ScienceOn
42	/ [ Hassager, O.;C. Bisgaard ] / J. Non-Newt. Fluid Mech. DOI ScienceOn
43	/ [ Keunings, R.;Tucker, Ⅲ, C. L.(ed.) ] / Fundamentals of Computer Modeling of Polymer Processing
44	/ [ Fortin, A.;A. Zine ] / J. Non-Newt. Fluid Mech. DOI
45	/ [ Harlow, F. H.;J. E. Welch ] / Phys. Fluids. DOI
46	/ [ Coates, P. J.;A. N. R. C. Armstrong;R. A. Brown ] / J. Non-Newt. Fluid Mech. DOI
47	/ [ Ferziger, J. H.;M. Peric ] / Computational Methods for Fluid Dynamics (3rd., rev. ed.)
48	/ [ Tome, M. F.;B. Duffy;S. McKee ] / J. Non-Newt. Fluid Mech. DOI ScienceOn
49	/ [ Sun, J.;N. Phan-Thien;R. I. Tanner ] / J. Non-Newt. Fluid Mech. DOI ScienceOn
50	/ [ Yamaguchi, H.;A. Mishima;T. Yasumoto;T. Ishikawa ] / J. Non-Newt. Fluid Mech. DOI ScienceOn
51	/ [ Sureshkumar, R.;M. D. Smith;R. C. Armstrong;R. A. Brown ] / J. Non-Newt. Fluid Mech. DOI ScienceOn
52	/ [ Wapperom, P.;R. Keunings ] / J. Non-Newt. Fluid Mech. DOI ScienceOn
53	/ [ Baloch, A.;P. Townsend;M. F. Webster ] / J. Non-Newt. Fluid Mech.
54	/ [ Beris, A. N.;R. C. Armstrong;R. A. Brown ] / J. Non-Newt. Fluid Mech.
55	/ [ Stoker, J. J. ] / Water Waves, The Mathematical Theory with Applications
56	/ [ Fan, Y. R. ] / Comput. Meth. Appl. Mech. Engrg. DOI ScienceOn
57	Computational Polymer Melt Rheology / [ Verbeeten, W. M. H. ] / Ph.D. Thesis, Technische Universiteit Eindhoven
58	/ [ Kabanemi, K. K.;F. Bertrand;P. A. Tanguy;A. Ait-Kadi ] / J. Non-Newt. Fluid Mech. DOI ScienceOn
59	/ [ Huilgol, R.R.;N. Phan-Thien ] / Fluid Mechanics of Viscoelasticity
60	/ [ Lesaint, P.;P. A. Raviart ] / On a Finite Element Method for Solving the Neutron Transport Equation
61	/ [ Petera, J. ] / J. Non-Newt. Fluid Mech. DOI ScienceOn
62	/ [ Harlow, F. H.;J. E. Welch ] / Phys. Fluids. DOI
63	/ [ Oliveira, P. J.;F. T. Pinho;G. A. Pinto ] / J. Non-Newt. Fluid Mech. DOI ScienceOn
64	/ [ Saramito, P. ] / J. Non-Newt. Fluid Mech. DOI ScienceOn
65	/ [ Brooks, A. N.;T. J. R. Hughes ] / Comput. Meth. Appl. Mech. Engrg. DOI ScienceOn
66	/ [ Glowinski, R.;O. Pironneau ] / Ann. Rev. Fluid. Mech. DOI ScienceOn
67	/ [ Na, Y.;J. Y. Yoo ] / Comput. Mech. DOI
68	/ [ Criminale, W. O. Jr.;J. L. Ericksen;G. L. Jr. Filbey ] / Arch. Rat. Mech. Anal. DOI
69	/ [ Guenette, R.;M. Fortin ] / J. Non-Newt. Fluid Mech. DOI ScienceOn
70	/ [ Butcher, J. C. ] / The Numerical Analysis of Ordinary Differential Equations: Runge-Kutta and General Linear Methods
71	/ [ Baaijens, F. P. T. ] / J. Non-Newt. Fluid Mech. DOI ScienceOn
72	/ [ Serdakowski, J. A.;B. Caswell ] / J. Non-Newt. Fluid Mech.
73	Three-dimensional finite volume numerical modelling and numerical simulations of viscoelastic flows / [ Xue, S.-C. ] / Ph.D. Thesis. The University of Sydney
74	/ [ Talwar, K. K.;H. K. Ganpule;B. Khomami ] / J. Non-Newt. Fluid Mech. DOI ScienceOn
75	/ [ Wood, W. L. ] / Practical Time Stepping Schemes
76	/ [ Northey, P. J.;R. C. Armstrong;R. A. Brown ] / J. Non-Newt. Fluid Mech. DOI
77	/ [ Luo, X.-L. ] / J. Non-Newt. Fluid Mech. DOI ScienceOn
78	/ [ Xue, S.-C.;N. Phan-Thien;R. I. Tanner ] / J. Non-Newt. Fluid Mech. DOI ScienceOn
79	/ [ Larson, R. G.;E. S. G. Shaqfeh;S. J. Muller ] / J. Fluid Mech. DOI
80	/ [ Wapperom, P.;R. Keunings;V. Legat ] / J. Non-Newt. Fluid Mech. DOI
81	/ [ Aboubacar, M.;M. F. Webster ] / J. Non-Newt. Fluid Mech. DOI ScienceOn
82	/ [ Mompean, G.;M. Deville ] / J. Non-Newt. Fluid Mech. DOI ScienceOn
83	/ [ Becker, L. E.;G. H. McKinley;H. K. Rasmussen;O. Hassager ] / J. Rheol. DOI ScienceOn
84	/ [ Jin, H.;N. Phan-Thien;R. I. Tanner ] / Comput Mech. DOI
85	/ [ Van Kan, J. ] / SIAM J. Sci. Stat. Comput. DOI
86	/ [ Choi, H. C.;J. H. Song;J. Y. Yoo ] / J. Non-Newt. Fluid Mech. DOI ScienceOn
87	/ [ Oliveira, P. J. ] / J. Non-Newt. Fluid Mech. DOI ScienceOn
88	/ [ Kawahara, M.;N. Takeuchi ] / Comput. Fluids DOI ScienceOn
89	/ [ Bisgaard, J. V. ] / J. Non-Newt. Fluid Mech. DOI ScienceOn
90	/ [ Rajagopalan, D.;R. C. Armstrong;R. A. Brown ] / J. Non-Newt. Fluid Mech. DOI
91	/ [ Rasmussen, H. K.;O. Hassager ] / J. Non-Newt. Fluid Mech. DOI ScienceOn
92	/ [ Singh, P.;L. G. Leal ] / Theoret. Comput. Fluid Dynamics DOI
93	/ [ Rasmussen, H. K. ] / Proc. <TEX>$13^{th}$</TEX> Int. Congress on Rheology
94	/ [ Somasi, M.;B. Khomami ] / J. Non-Newt. Fluid Mech. DOI ScienceOn
95	/ [ Perera, M. G. N.;K. Walters ] / J. Non-Newt. Fluid Mech. DOI ScienceOn
96	/ [ Rasmussen, H. K.;O. Hassager ] / Proc. <TEX>$13^{th}$</TEX> Int. Congress on Rheology
97	/ [ Fan, Y. R.;R. I. Tanner;N. Phan-Thien ] / J. Non-Newt. Fluid Mech. DOI
98	/ [ Peters, E. A. J. F.;M. A. Hulsen;B. H. A. A. van den Brule ] / J. Non-Newt. Fluid Mech. DOI ScienceOn
99	/ [ Courant, R. ] / Methods of Mathematical Physics
100	/ [ Carew, E. O. A.;P. Townsend;M. F. Webster ] / J. Non-Newt. Fluid Mech. DOI ScienceOn
101	Numerical Recipes in Fortran / [ Press, W. H.;B. P. Flannery;S. A. Teukolsky;W. T. Vetterling ] / The Art of Scientific Computing
102	/ [ Tanner, R. I.;K. Walters ] / Rheology: An Historical Perspective
103	/ [ Wapperom, P.;R. Keunings ] / J. Non-Newt. Fluid Mech. DOI ScienceOn
104	/ [ Alves, M. A.;F. T. Pinho;P. J. Oliveira ] / J. Non-Newt. Fluid Mech. DOI
105	/ [ Crochet, M. J.;A. R. Davies;K. Walters ] / Numerical Simulation of non-Newtonian Flow
106	/ [ Yoo, J. Y.;Y. Na ] / J. Non-Newt. Fluid Mech. DOI ScienceOn
107	/ [ Luo, X.-L.;R. I. Tanner ] / J. Non-Newt. Fluid Mech. DOI ScienceOn
108	/ [ Rasmussen, H. K.;S. Gottsche;E. M. Kjaer ] / Proc. <TEX>$13^{th}$</TEX> Int. Congress on Rheology
109	/ [ Xue, S.-C.;R. I. Tanner;N. Phan-Thein ] / XIIth Inter. Workshop Numer: Meth. Non-Newt. Flows
110	/ [ Northey, P. J.;R. C. Armstrong;R. A. Brown ] / J. Non-Newt. Fluid. Mech. DOI ScienceOn
111	/ [ Crochet, M. J.;R. Keunungs ] / J. Non-Newt. Fluid Mech. DOI ScienceOn
112	/ [ Rasmussen, H. K.;O. Hassager ] / J. Non-Newt. Fluid Mech.
113	/ [ Pilitsis, S.;A. N. Beris ] / J. Non-Newt. Fluid Mech. DOI ScienceOn
114	/ [ Phillips, T. N.;A. J. Williams ] / J. Non-Newt. Fluid Mech. DOI
115	/ [ Sato, T.;S. M. Richardson ] / Int. J. Numer. Meth. Fluids
116	/ [ Rasmussen, H. K.;O. Hassager ] / J. Non-Newt. Fluid Mech. DOI
117	/ [ Xue, S.-C.;N. Phan-Thien;R. I. Tanner ] / Rheol. Acta DOI ScienceOn
118	/ [ Hu, H. H.;D. D. Joseph ] / J. Non-Newt. Fluid Mech. DOI ScienceOn
119	/ [ Oliveira, P. J.;F. T. Pinho ] / J. Non-Newt. Fluid Mech. DOI
120	/ [ Sato, T.;S. M. Richardson ] / J. Non-Newt. Fluid Mech. DOI ScienceOn
121	/ [ Chorin, A. J. ] / J. Comput. Phys. DOI ScienceOn
122	/ [ Gear, C. W. ] / Numerical Initial Value Problems in Ordinary Differential equations
123	/ [ King, R. C.;M. R. Apelian;R. C. Armstrong;R. A. Brown ] / J. Non-Newt. Fluid Mech. DOI ScienceOn
124	/ [ Gottlieb, D.;S. A. Orszag ] / Numerical Analysis of Spectral Methods: Theory and Applications
125	/ [ Olsson, F. ] / J. Non-Newt. Fluid Mech. DOI ScienceOn
126	/ [ Gervang, B.;P. S. Larsen ] / J. Non-Newt. Fluid. Mech. DOI ScienceOn
127	/ [ Talwar, K. K.;B. Khomami ] / J. Non-Newt. Fluid Mech. DOI ScienceOn
128	/ [ Roache, P. J. ] / Verification and Validation in Computational Science and Engineering
129	/ [ Tanner, R. I. ] / Engineering Rheology.<TEX>$(2^{nd}ed.)$</TEX>
130	/ [ McLeish, T. C. B.;R. G. Larson ] / J. Rheol. DOI ScienceOn
131	/ [ Donea, J. ] / Int. J. Numer. Meth. Eng. DOI ScienceOn
132	/ [ Fortin, M.;A. Fortin ] / J. Non-Newt. Fluid Mech. DOI ScienceOn
133	/ [ Rasmussen, H. K. ] / J. Non-Newt. Fluid Mech. DOI