Published in Computer Methods in Applied Mechanics and Engineering Vol. 94, pp. 239-262, 1992
10.1016/0045-7825(92)90149-E
Abstract
In this paper the functions of the Péclet number that appear in the intrinsic time of the streamline upwind/Petrov-Galerkin (SUPG) formulation are analyzed for quadratic elements. Some related issues such as the computation of the characteristic element length and the introduction of source terms in the one-dimensional model problem are also addressed.
Back to Top
Document information
Published on 01/01/1992
DOI: 10.1016/0045-7825(92)90149-E
Licence: CC BY-NC-SA license
Web of Science Core Collection® Times cited: 66
Crossref Cited-by Times cited: 68
OpenCitations.net Times cited: 41
OpenCitations.net - Citing documents:
- J. Camata, A. Rossa, A. Valli, L. Catabriga, G. Carey, A. Coutinho. Reordering and incomplete preconditioning in serial and parallel adaptive mesh refinement and coarsening flow solutions. Int. J. Numer. Meth. Fluids 69(4) (2011) DOI 10.1002/fld.2614
- V. Kotteda, S. Mittal. Stabilized finite-element computation of compressible flow with linear and quadratic interpolation functions. Int. J. Numer. Meth. Fluids 75(4) (2014) DOI 10.1002/fld.3894
- S. Subramanian, U. Kumar. Augmenting numerical stability of the Galerkin finite element formulation for electromagnetic flowmeter analysis. 10(4) DOI 10.1049/iet-smt.2015.0159
- S. Subramanian, U. Kumar. Stable Galerkin finite-element scheme for the simulation of problems involving conductors moving rectilinearly in magnetic fields. 10(8) DOI 10.1049/iet-smt.2016.0162
- H. Choi, J. Yoo, J. Park, M. Cho. Study on the Segregation Algorithms of the Incompressible Navier-Stokes Equations Using P1P1/P2P1 Finite Element Formulation. Transactions of the Korean Society of Mechanical Engineers B 30(3) DOI 10.3795/ksme-b.2006.30.3.262
- S. Lee, H. Choi, J. Yoo. Effect of Bifurcation Angle on Blood Flow in Flexible Carotid Artery. Transactions of the Korean Society of Mechanical Engineers B 37(3) DOI 10.3795/ksme-b.2013.37.3.229
- L. Renson, G. Kerschen. Nonlinear Normal Modes of Nonconservative Systems. (2013) DOI 10.1007/978-1-4614-6570-6_17
- I. HARARI, R. TEZAUR, C. FARHAT. A STUDY OF HIGHER-ORDER DISCONTINUOUS GALERKIN AND QUADRATIC LEAST-SQUARES STABILIZED FINITE ELEMENT COMPUTATIONS FOR ACOUSTICS. J. Comp. Acous. 14(01) (2011) DOI 10.1142/s0218396x06002792
- E. Gordon, U. Shamir, J. Bensabat. Optimal management of a regional aquifer under salinization conditions. Water Resour. Res. 36(11) (2000) DOI 10.1029/2000wr900177
- S. Kang, H. Choi, J. Yoo. Investigation of fluid-structure interactions using a velocity-linked P2/P1 finite element method and the generalized- α method. Int. J. Numer. Meth. Engng 90(12) (2012) DOI 10.1002/nme.4252
- P. Knobloch. A Generalization of the Local Projection Stabilization for Convection-Diffusion-Reaction Equations. SIAM J. Numer. Anal. 48(2) DOI 10.1137/090767807
- R. Codina. Stability analysis of the forward Euler scheme for the convection-diffusion equation using the SUPG formulation in space. Int. J. Numer. Meth. Engng. 36(9) DOI 10.1002/nme.1620360903
- S. Idelsohn, E. Oñate. Finite volumes and finite elements: Two ‘good friends’. Int. J. Numer. Meth. Engng. 37(19) DOI 10.1002/nme.1620371908
- J. Simo, F. Armero, C. Taylor. Stable and time-dissipative finite element methods for the incompressible Navier-Stokes equations in advection dominated flows. Int. J. Numer. Meth. Engng. 38(9) DOI 10.1002/nme.1620380904
- A. Khelifa, Y. Ouellet. Analysis of time varying errors in quadratic finite element approximation of hyperbolic problems. Int. J. Numer. Meth. Engng. 38(23) DOI 10.1002/nme.1620382303
- E. Oñate, J. García, S. Idelsohn. Computation of the stabilization parameter for the finite element solution of advective-diffusive problems. Int. J. Numer. Meth. Fluids 25(12) DOI 10.1002/(sici)1097-0363(19971230)25:12<1385::aid-fld678>3.0.co;2-7
- T. Wasfy, A. West, V. Modi. Parallel finite element computation of unsteady incompressible flows. Int. J. Numer. Meth. Fluids 26(1) DOI 10.1002/(sici)1097-0363(19980115)26:1<17::aid-fld619>3.0.co;2-g
- R. Codina, O. Soto. Finite element implementation of two-equation and algebraic stress turbulence models for steady incompressible flows. Int. J. Numer. Meth. Fluids 30(3) (2001) DOI 10.1002/(sici)1097-0363(19990615)30:3<309::aid-fld844>3.0.co;2-j
- Y. Di, H. Xie, X. Yin. Anisotropic Meshes and Stabilization Parameter Design of Linear SUPG Method for 2D Convection-Dominated Convection–Diffusion Equations. J Sci Comput 76(1) (2017) DOI 10.1007/s10915-017-0610-9
- M. Goldschmit, E. Dvorkin. On the solution of the steady convection—diffusion equation using quadratic elements: a generalized galerkin technique also reliable with distorted meshes. Engineering Computations 11(6) DOI 10.1108/02644409410799425
- A. Corsini, F. Rispoli, A. Santoriello. Quadratic Petrov‐Galerkin finite elements for advective‐reactive features in turbomachinery CFD. Int Jnl of Num Meth for HFF 15(8) DOI 10.1108/09615530510625147
- E. OÑATE, S. IDELSOHN, O. ZIENKIEWICZ, R. TAYLOR. A FINITE POINT METHOD IN COMPUTATIONAL MECHANICS. APPLICATIONS TO CONVECTIVE TRANSPORT AND FLUID FLOW. Int. J. Numer. Meth. Engng. 39(22) DOI 10.1002/(sici)1097-0207(19961130)39:22<3839::aid-nme27>3.0.co;2-r
- R. Codina, O. Soto. Finite element simulation of the filling of thin moulds. Int. J. Numer. Meth. Engng. 46(9) DOI 10.1002/(sici)1097-0207(19991130)46:9<1559::aid-nme712>3.0.co;2-6
- D. Hendriana, K. Bathe. On upwind methods for parabolic finite elements in incompressible flows. Int. J. Numer. Meth. Engng. 47(1-3) DOI 10.1002/(sici)1097-0207(20000110/30)47:1/3<317::aid-nme773>3.0.co;2-n
- G. Houzeaux, B. Eguzkitza, M. Vázquez. A variational multiscale model for the advection-diffusion-reaction equation. Commun. Numer. Meth. Engng. 25(7) DOI 10.1002/cnm.1156
- A. Draganis, F. Larsson, A. Ekberg. Finite element modelling of frictional thermomechanical rolling/sliding contact using an arbitrary Lagrangian–Eulerian formulation. Proceedings of the Institution of Mechanical Engineers, Part J: Journal of Engineering Tribology 229(7) (2015) DOI 10.1177/1350650115572197
- W. Litvinov. Approximation of solutions to operator equations in spaces of smooth functions and in spaces of distributions. Numer. Methods Partial Differential Eq. 30(2) (2013) DOI 10.1002/num.21816
- A. Shojaei, B. Boroomand, F. Mossaiby. A simple meshless method for challenging engineering problems. Engineering Computations 32(6) DOI 10.1108/ec-06-2014-0131
- R. Codina, U. Schäfer, E. Oñate. Mould filling simulation using finite elements. Int Jnl of Num Meth for HFF 4(4) DOI 10.1108/eum0000000004108
- A. Draganis. Finite Element Modeling of Transient Thermomechanical Rolling Contact Featuring Mixed Control of the Rigid Body Motion. 139(1) (2016) DOI 10.1115/1.4033048
- S. Quicken, W. Donders, E. van Disseldorp, K. Gashi, B. Mees, F. van de Vosse, R. Lopata, T. Delhaas, W. Huberts. Application of an Adaptive Polynomial Chaos Expansion on Computationally Expensive Three-Dimensional Cardiovascular Models for Uncertainty Quantification and Sensitivity Analysis. 138(12) (2016) DOI 10.1115/1.4034709
- N. Kao, T. Sheu, S. Tsai. On a Wavenumber Optimized Streamline Upwinding Method for Solving Steady Incompressible Navier-Stokes Equations. Numerical Heat Transfer, Part B: Fundamentals 67(1) (2014) DOI 10.1080/10407790.2014.949522
- T. Sheu, S. Tsai, M. Wang. DISCUSSION OF NUMERICAL DEFICIENCY OF APPLYING A PARTIALLY WEIGHTED UPWIND FINITE-ELEMENT MODEL TO INCOMPRESSIBLE NAVIER-STOKES EQUATIONS. Numerical Heat Transfer, Part B: Fundamentals 32(2) DOI 10.1080/10407799708915005
- L. Jakobsen, H. Moller, E. Lund. Sensitivity analysis of convection dominated steady 2D fluid flow using SUPG FEM. (2012) DOI 10.2514/6.2000-4822
- A. Mayer, A. Rabideau, R. Mitchell, P. Imhoff, M. Lowry, C. Miller. Groundwater quality. Water Environment Research 65(4) (1993) DOI 10.1002/j.1554-7531.1993.tb00081.x
- S. Lee, H. Choi, J. Yool. Finite element simulation of blood flow in a flexible carotid artery bifurcation. J Mech Sci Technol 26(5) (2012) DOI 10.1007/s12206-012-0331-9
- A. Corsini, F. Rispoli, A. Santoriello. A new stabilized finite element method for advection-diffusion-reaction equations using quadratic elements. DOI 10.1007/978-3-662-08797-8_17
- A. Natale, C. Cotter. Scale-selective dissipation in energy-conserving finite-element schemes for two-dimensional turbulence. Q.J.R. Meteorol. Soc 143(705) (2017) DOI 10.1002/qj.3063
- S. Marras, J. Kelly, M. Moragues, A. Müller, M. Kopera, M. Vázquez, F. Giraldo, G. Houzeaux, O. Jorba. A Review of Element-Based Galerkin Methods for Numerical Weather Prediction: Finite Elements, Spectral Elements, and Discontinuous Galerkin. Arch Computat Methods Eng 23(4) (2015) DOI 10.1007/s11831-015-9152-1
- G. Hauke, M. Doweidar, D. Fuster, A. Gómez, J. Sayas. Application of Variational a-Posteriori Multiscale Error Estimation to Higher-Order Elements. Comput Mech 38(4-5) (2006) DOI 10.1007/s00466-006-0048-7
- A. Draganis, F. Larsson, A. Ekberg. Finite element analysis of transient thermomechanical rolling contact using an efficient arbitrary Lagrangian–Eulerian description. Comput Mech 54(2) (2014) DOI 10.1007/s00466-014-0992-6
