Petrov-Galerkin methods for the transient advective-diffusive equation with sharp gradients

International Journal for Numerical Methods in Engineering

Volumn 39, Issue 9, 1996, Pages 1455-1473

  Idelsohn, S R ^a,b   Heinrich, J C ^a,c   Onate E ^a  

^a UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

^b UNIVERSIDAD NACIONAL DEL LITORAL   (Argentina)

^c UNIVERSITY OF ARIZONA   (United States)

Author keywords

Advective diffusive equations; Boundary layers; Galerkin Least Square; Petrov Galerkin; Transient loads

Indexed keywords

ADVECTION; DIFFUSION; EQUATIONS; FINITE ELEMENT METHOD; MATHEMATICAL TECHNIQUES; PETROV-GALERKIN; TRANSIENT ADVECTIVE-DIFFUSIVE;

ALGORITHMS; BOUNDARY CONDITIONS; BOUNDARY LAYERS; DIFFUSION; EQUATIONS OF MOTION; FINITE ELEMENT METHOD; LEAST SQUARES APPROXIMATIONS; NAVIER STOKES EQUATIONS; NUMERICAL ANALYSIS; OSCILLATIONS; PERTURBATION TECHNIQUES; STABILIZATION;

ADVECTIVE DIFFUSIVE EQUATIONS; PETROV-GALERKIN METHOD; SHARP GRADIENTS; TRANSIENT LOADS; WEIGHTING FUNCTION;

NUMERICAL METHODS;

EID: 0030131482     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0207(19960515)39:9<1455::AID-NME912>3.0.CO;2-0     Document Type: Article

References (8)

1. J. C. Heinrich, P. S. Huyakorn, O. C. Zienkiewicz and A. R. Mitchell, 'An upwind finite element scheme for two-dimensional convective transport equation', Int. j. numer. methods eng., 11, 131-143 (1977).
2. D. W. Kelly, S. Nakazawa, O. C. Zienkiewicz and J. C. Heinrich, 'A note on upwinding and anistropic balancing dissipation in finite element approximations to convective diffusion problems', Int. j. numer. methods eng., 15, 1705-1711 (1980).
3. A. Brooks and T. J. R. Hughes, 'Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particuler emphasis on the incompressible Navier-Stoko equation'. Comput. Methods Appl. Mech. Eng., 32, 199-259 (1982).
4. C. C. Yu and J. C. Heinrich, 'Petrov-Galerkin method for multidimensional, time-dependent, convective-diffution equations', Int. j. numer. methods eng., 24, 2201-2215 (1987).
5. C. Johnson, U. Navert and J. Pitkaranta, 'Finite element methods for linear hyperbolic problems', Comput. Methods Appl. Mech. Eng., 45, 285-321 (1984).
6. J. J. Westerink and D. Shea, 'Consistent higher degree Petrov-Galerkin methods for the solution of the transient convection-diffusion equation', Int. j. numer. methods eng., 28, 1077-1102 (1989).
7. T. J. R. Hughes, L. P. Franca and G. Hulbert, 'A new element formulation for computational fluid dynamics: VIII. The Galerkin-least-squares method for advective-diffusive equations', Comput. Methods Appl. Mech. Eng., 59, 307-325 (1986).
8. H. S. Carslaw and J. C. Jaeger, Conduction of Heat in Solids, 2nd edn, Oxford University Press, Oxford, 1959.