Enhanced-discretization successive update method (EDSUM)

International Journal for Numerical Methods in Fluids

Volumn 47, Issue 6-7, 2005, Pages 633-654

  Tezduyar, Tayfun E ^a   Sathe, Sunil ^a  

^a Rice University   (United States)

Author keywords

Enhanced discretization and solution techniques; Flow simulation; Iterative methods; Multi level iteration techniques; Successive update method

Indexed keywords

COMPUTATIONAL FLUID DYNAMICS; ITERATIVE METHODS; LINEAR EQUATIONS; PROBLEM SOLVING;

ADVECTION DIFFUSION EQUATION; ENHANCED-DISCRETIZATION SUCCESSIVE UPDATE METHOD (EDSUM); FLOW INFORMATIONS; SPECE-TIME FORMULATION;

FLOW OF FLUIDS;

COMPUTATIONAL FLUID DYNAMICS; FLUID FLOW; MATHEMATICAL ANALYSIS;

EID: 14344261846     PISSN: 02712091     EISSN: None     Source Type: Journal    
DOI: 10.1002/fld.836     Document Type: Article

References (31)

1. Hughes TJR, Brooks AN. A multi-dimensional upwind scheme with no crosswind diffusion. In Finite Element Methods for Convection Dominated Flows, Hughes TJR (ed.), AMD-Vol. 34. ASME: New York, 1979; 19-35.
2. Brooks AN, Hughes TJR. Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations. Computer Methods in Applied Mechanics and Engineering 1982; 32:199-259.
3. Tezduyar TE, Hughes TJR. Finite element formulations for convection dominated flows with particular emphasis on the compressible Euler equations. Proceedings of AIAA 21st Aerospace Sciences Meeting, AIAA Paper 83-0125, Reno, Nevada, 1983.
4. Hughes TJR, Tezduyar TE. Finite element methods for first-order hyperbolic systems with particular emphasis on the compressible Euler equations. Computer Methods in Applied Mechanics and Engineering 1984; 45:217-284.
5. Tezduyar TE. Stabilized finite element formulations for incompressible flow computations. Advances in Applied Mechanics 1991; 28 1-44.
6. Tezduyar TE. Finite element methods for flow problems with moving boundaries and interfaces. Archives of Computational Methods in Engineering 2001; 8:83-130.
7. Tezduyar T. Finite element interface-tracking and interface-capturing techniques for flows with moving boundaries and interfaces. Proceedings of the ASME Symposium on Fluid-Physics and Heat Transfer for Macro- and Micro-Scale Gas Liquid and Phase-Change Flows (CD-ROM), ASME Paper IMECE2001/HTD-24206. ASME: New York, 2001.
8. Tezduyar T. Interface-tracking and interface-capturing techniques for computation of moving boundaries and interfaces. Proceedings of the Fifth World Congress on Computational Mechanics, http://wccm.tuwien.ac.at/, Paper-ID: 81513, Vienna, Austria, 2002.
9. Tezduyar TE. Finite element methods for fluid dynamics with moving boundaries and interfaces. In Encyclopedia of Computational Mechanics, Volume 3: Fluids, Stein E, De Borst R, Hughes TJR (eds), Chapter 17. Wiley: New York, 2004.
10. Tezduyar TE. Stabilized finite element methods for flows with moving boundaries and interfaces. HERMIS International Journal 2004; 4
11. Tezduyar TE. Moving boundaries and interfaces. In Finite Element Methods: 1970's and Beyond, Franca LP, Tezduyar TE, Masud A (eds). CIMNE: Barcelona, Spain, 2004; 205-220.
12. Hughes TJR, Franca LP, Balestra M. A new finite element formulation for computational fluid dynamics: V. Circumventing the Babuška-Brezzi condition: a stable Petrov-Galerkin formulation of the Stokes problem accommodating equal-order interpolations. Computer Methods in Applied Mechanics and Engineering 1986; 59:85-99.
13. Tezduyar TE, Behr M, Liou J. 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 tests. Computer Methods in Applied Mechanics and Engineering 1992; 94(3):339-351.
14. Tezduyar TE, Behr M, Mittal S, Liou J. 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 1992; 94 3):353-371.
15. Tezduyar TE, Behr M, Mittal S, Johnson AA. Computation of unsteady incompressible flows with the finite element methods-space-time formulations, iterative strategies and massively parallel implementations. New Methods in Transient Analysis, PVP-Vol. 246/ AMD-Vol. 143. ASME: New York, 1992; 7-24.
16. Hughes TJR, Hulbert GM. Space-time finite element methods for elastodynamics: formulations and error estimates. Computer Methods in Applied Mechanics and Engineering 1988; 66:339-363.
17. Tezduyar T, Aliabadi S, Behr M. Enhanced-discretization interface-capturing technique (EDICT) for computation of unsteady flows with interfaces. Computer Methods in Applied Mechanics and Engineering 1998; 155:235-248.
18. Tezduyar TE, Sathe S. Enhanced-discretization space-time technique (EDSTT). Computer Methods in Applied Mechanics and Engineering 2004; 193:1385-1401.
19. Tezduyar TE. Interface-tracking, interface-capturing and enhanced solution techniques. Proceedings of the First South-American Congress on Computational Mechanics (CD-ROM), Santa Fe-Parana, Argentina, 2002.
20. Tezduyar TE, Sathe S. Enhanced-approximation linear solution technique (EALST). Computer Methods in Applied Mechanics and Engineering 2004; 193:2033-2049.
21. Tezduyar TE, Osawa Y. Finite element stabilization parameters computed from element matrices and vectors. Computer Methods in Applied Mechanics and Engineering 2000; 190:411-430.
22. Tezduyar T. Stabilization parameters and local length scales in SUPG and PSPG formulations. Proceedings of the Fifth World Congress on Computational Mechanics, On-line publication: http://wccm.tuwien.ac.at/, Paper-ID:81508, Vienna, Austria, 2002.
23. Saad Y, Schultz M. GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems. SIAM Journal of Scientific and Statistical Computing 1986; 7:856-869.
24. Tezduyar T, Aliabadi S, Behr M, Johnson A, Kalro V, Litke M. High performance computing techniques for flow simulations. In Solving Large-Scale Problems in Mechanics: Parallel Solution Methods in Computational Mechanics, Papadrakakis M (ed.), Chapter 10. Wiley: New York, 1997; 363-398.
25. Kalro V, Tezduyar T. Parallel iterative computational methods for 3D finite element flow simulations. Computer Assisted Mechanics and Engineering Sciences 1998; 5:173-183.
26. Johan Z, Hughes TJR, Shakib F. A globally convergent matrix-free algorithm for implicit time-marching schemes arising in finite element analysis in fluids. Computer Methods in Applied Mechanics and Engineering 1991; 87:281-304.
27. Johan Z, Mathur KK, Johnsson SL, Hughes TJR. A case study in parallel computation: viscous flow around an Onera M6 wing. International Journal for Numerical Methods in Fluids 1995; 21:877-884.
28. Tezduyar TE, Behr M, Aliabadi SK, Mittal S, Ray SE. A new mixed preconditioning method for finite element computations. Computer Methods in Applied Mechanics and Engineering 1992; 99:27-42.
29. Tezduyar TE. Stabilized Finite Element Methods for Computation of Flows with Moving Boundaries and Interfaces. Lecture Notes on Finite Element Simulation of Flow Problems (Basic-Advanced Course). Japan Society of Computational Engineering and Sciences: Tokyo, Japan, 2003.
30. Tezduyar TE. Adaptive determination of the finite element stabilization parameters. Proceedings of the ECCOMAS Computational Fluid Dynamics Conference 2001 (CD-ROM), Swansea, Wales, United Kingdom, 2001.
31. Tezduyar TE. Computation of moving boundaries and interfaces and stabilization parameters. International Journal for Numerical Methods in Fluids 2003; 43:555-575.