A class of space-time least-squares finite element schemes for convective transport problems
The application of finite element methods to convective transport problems has suffered from the fact that non-symmetric operators give rise to spurious oscillations between adjacent modes. By adding an artificial viscous dissipation term involving a time derivative, a class of space-time least squares finite element schemes is developed which improves the stability properties of numerical solutions. A class of finite element schemes is obtained depending on a free parameter E which is the amplitude of the artificial viscous dissipation term. The optimum least squares space-time finite element scheme LSST for linear problems is derived by ensuring that the scheme is stable, accurate and that the "unit C.F.L. property" is satisfied. For non-linear situations, a precise relation of the optimum value E(opt) is proposed. The application of this method to the inviscid Burgers' equation demonstrates the accuracy and the stability of the least-squares space-time finite element schemes.
Bibliographic Reference: Paper presented: 10th International Conference on Structural Mechanics in Reactor Technology, Anaheim, Ca. (US), Aug. 14-18, 1989
Availability: Available from (1) as Paper EN 34741 ORA
Record Number: 198910641 / Last updated on: 1994-12-01
Original language: en
Available languages: en