An operator-splitting finite-element approach to an 8:1 thermal cavity problem
- Davis, Dominic
- Bänsch, Eberhard
2010 Mathematics Subject Classification
- 65N22 65Y20 65N30 65N50
- finite-element, advection, Navier-Stokes, CG method, GMRES, Galerkin
This article describes the methodology for, and results obtained from, our contribution to a thermal-cavity benchmark test. Our solutions were obtained on graded rectangular grids for two different time-discretisation schemes by applying a finite-element procedure to the model equations, and a combination of conjugated-gradient (CG) and GMRES solvers to the resulting matrix systems.