Finite element solutions of the energy equation at high Peclet number

DOI10.1016/0045-7930(80)90023-7zbMath0442.76068OpenAlexW2036814040MaRDI QIDQ1143920

S. H. Smith

Publication date: 1980

Published in: Computers and Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7930(80)90023-7

zbMATH Keywords

artificial dampinghigh Peclet numberscentral differencing and upwind differencingsteady-state one-dimensional energy equation

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Diffusion and convection (76R99)

Related Items (1)

Quasilinearized solution of axisymmetric hydromagnetic stagnation-point flow and heat transfer

Cites Work

• An evaluation of upwind and central difference approximations by a study of recirculating flow
• Finite element methods for second order differential equations with significant first derivatives
• Steady and unsteady finite element analysis of incompressible viscous fluid
• An ‘upwind’ finite element scheme for two‐dimensional convective transport equation
• Some comments on the paper by Heinrich, Huyakorn, Zienkiewicz and Mitchell
• Quadratic finite element schemes for two-dimensional convective-transport problems
• Central difference approximations to the heat transport equation

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