On the Finite Element Modeling of the Scalar Transport Equation

Authors

  • Robert L. Sani Department of Chemical Engineering University of Colorado Boulder, Colorado
  • Philip M. Gresho Lawrence Livermore National Lab Livermore, California USA

Keywords:

scalar transport, conversation, incompressible flow

Abstract

This malerial was presented (by RL.S.) as part of a three hour lecture on finite element modeling of incompressible and Boussinesq flows at the summer school organized by JUST/, Universite de provence.

 

Downloads

Download data is not yet available.

References

Finlayson, B. and Scriven, L.E., "The Method of Weighted Residuals-A

Review," Appl. Meek. Review! 19, No. 9, 735 (1966).

Gresho, P. M., Chan, S., Upson, C., and Lee, R., "A Modified Finite

Element Method for Solving the Time-dependent Incompressible NavierStokes

Equations," Int'l. J. Num. Meth. in Fluid!, Part 1: Theory, 4,

-598; Part 2: Applications, 4, 619 (1984).

Gresho, P. M., Lee, R. L., Chan, S., and Sani R. L., "A Comparison

of Several Conservation Forms for the Finite Element Formulations of

the Incompressible Navier-Stokes or Boussinesq Equations," Proceedings

of Third Int'l. Conf. on Finite Element Flow Problems, Banff, Canada

(1980).

Gresho, P.M. and Sani, R.L., "On Pressure Boundary Conditions for the

Incompressible Navier-Stokes Equations," lnt'l. J. Num. Meth. Fluid8 7,

-1145 (1987).

Hughes, T. J. R. and Brooks, A., "A Theoretical Framework for PetrovGalerkin

Methods with Discontinuous Weighting Functions: Application

to the Streamline Upwind Procedure," Finite Element" in Fluid,, R. Gallagher,

ed. 4, Wiley (1983).

Hughes, T. J. R., Franca, L.P., and Balestra, M., "A New Finite Element

Formulation for Computational Fluid Dynamics: V.," Comp. Meth. in

Appl. Mech. and Engng. 50, 85-99 (1986).

Jiang, B., "The L 1 Finite Element Method for Pure Convection Problems,"

NASA Tech. Memor. 103773 (1991).

Jiang, B., "A Least Squares Finite Element Method for Incompressible

Navier-Stokes Problems," Int'l. J. Num. Meth. in Fluid, 14, 843-859

(1992).

Mitchell, A. R. and Wait, R., The Finite Element Method m Partial

Differential Equation8, John Wiley, London (1977).

Mizukami, A., "A Stream Function-Vorticity Finite Element Formulation

for Navier-Stokes Equations in Multi-Connected Domains," Int 'l.

J. Num. Meth. Eng. 19, 1403-9 (1983).

Swartz, B. and Wendroff, B., "Generalized Finite-Difference Schemes,"

Math. of Comp. 23, No. 105, 37-49 (1969).

Tezduyar, T. E., "Stabilized Finite Element Formulations for Incompressible

Flow Computations," Adv. Appl. Meek. 28, 1-43 (1992).

Downloads

Published

1992-03-23

How to Cite

Sani, R. L., & Gresho, P. M. . (1992). On the Finite Element Modeling of the Scalar Transport Equation. European Journal of Computational Mechanics, 1(3), 253–277. Retrieved from https://journals.riverpublishers.com/index.php/EJCM/article/view/3707

Issue

Section

Original Article