The two-dimensional streamline upwind scheme for the convection-reaction equation

DOI<link itemprop=identifier href="https://doi.org/10.1002/1097-0363(20010315)35:5<575::AID-FLD103>3.0.CO;2-W" /><575::AID-FLD103>3.0.CO;2-W 10.1002/1097-0363(20010315)35:5<575::AID-FLD103>3.0.CO;2-WzbMath1012.76050OpenAlexW2040962480MaRDI QIDQ2711309

H. Y. Shiah, Tony Wen-Hann Sheu

Publication date: 19 June 2003

Full work available at URL: https://doi.org/10.1002/1097-0363(20010315)35:5<575::aid-fld103>3.0.co;2-w

zbMATH Keywords

scalar transportquadratic elementsconvection-reaction equationnodally exact solutionstreamline upwind Petrov-Galerkin finite element model

Mathematics Subject Classification ID

Finite element methods applied to problems in fluid mechanics (76M10) Reaction effects in flows (76V05) Diffusion and convection (76R99)

Cites Work

• Discontinuity-capturing finite element formulations for nonlinear convection-diffusion-reaction equations
• A critical evaluation of upstream differencing applied to problems involving fluid flow
• A Petrov-Galerkin formulation for advection-reaction-diffusion problems
• Comparison of some finite element methods for solving the diffusion-convection-reaction equation
• A generalized finite element method for solving the Helmholtz equation in two dimensions with minimal pollution
• Positivity Preservation and Adaptive Solution for the k-? Model of Turbulence

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